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Question 1 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Match the symbols with the following numbers in the story. (a) n; (b) x̄; (c) s; (d) σ. = 200 = 8.2 = 2.2 Question 2 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. What is the point estimate? Question 3 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. What distribution should you use for this problem? Group of answer choices uniform t normal binomial Question 4 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. A 90% confidence interval for the population mean time to complete the forms is ( , ) Round to 3 decimal places. Question 5 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. The margin of error of the 90% confidence interval in previous question is Round to 3 decimal places. Question 6 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. If the Census did another survey, kept the confidence level the same, and surveyed only 50 people instead of 200, what would happen to the confidence interval? Group of answer choices The confidence interval will be narrower The confidence interval will be wider The confidence interval will not change. need more information to conclude. Question 7 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. If the confidence level increases from 90% to 95% with the same sample, what would happen to the confidence interval? (Please think carefully.) Group of answer choices The 95% confidence interval is narrower than 90% confidence interval. We need more information to determine. The two confidence intervals are the same. The 95% confidence interval is wider than 90% confidence interval. Question 8 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Using the 90% confidence interval, can we confidently conclude that the the population mean time to complete the forms is less than 10 minutes? Why? Group of answer choices Yes, because the mean is 8.2. Yes, because 10 is greater than the right endpoint of the confidence interval. No, because 10 < 8.2 + 2.2 No, because 10 is not in the confidence interval. Question 9 A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds. (1) Match the symbols with the following numbers in the story. (a) n; (b) x̄; (c) s; (d) σ. = 20; = 2.2; = 0.2; = 0.1 (2) Which distribution we should use for X̄? Question 10 A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds. A 95% confidence interval for the population mean weight of the heads of lettuce is ( , ) with margin of error E = . Round to 3 decimals. Question 11 A random survey of 29 national flags (with replacement between picks) from various countries. The sample has mean of 3.25 colors and standard deviation 1.02 colors. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Assume the number of colors on national flags is normal distributed. Let X = the number of colors on a national flag. (a) The distribution of X̄ used to find a 95% confidence interval should be Fill in the above blank with one from the following list: (a) normal; (b) Student t; (c) Binomial; (d) Uniform (b) A 95% confidence interval should be (c) The margin of error of the confidence interval is Round to 3 decimal places. Question 12 Suppose the marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. (1) Identify the following: (use decimal) (a) x = ; (b) n = ; (c) p' = (2) A point estimate of the population proportion of households where women make the majority of the purchasing decisions is Question 13 Suppose the marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. A 95% confidence interval for the population proportion of households where the women make the majority of the purchasing decisions is ( , ) with margin of error is . Round to 3 decimal places. Question 14 A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important. (1) A point estimate is (2) A 90% confidence interval is ( , ) and the error bound is . Round to 3 decimal places. Question 15 Suppose the marketing company want to do a survey to study average household spending on Black Friday within $25 with 95% confidence. From the past study, the standard deviation is $108. Find the minimal number of sample size.

Name: question 13 pts the us census bureau conducts a study to determine the time needed to complete the short form the bureau surveys 200 people the sample mean is 82 minutes there is a known sta 98858
Uploaded: 2022-10-08T16:37:18-08:00
Duration: 3 min 5 s
Channel: Lucas Finney
Description: question 13 pts the us census bureau conducts a study to determine the time needed to complete the short form the bureau surveys 200 people the sample mean is 82 minutes there is a known sta 98858

Question 2
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
What is the point estimate?

Question 3
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
What distribution should you use for this problem?
Group of answer choices
uniform
t
normal
binomial

Question 4
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
A 90% confidence interval for the population mean time to complete the forms is
( , )
Round to 3 decimal places.

Question 5
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
The margin of error of the 90% confidence interval in previous question is
Round to 3 decimal places.

Question 6
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
If the Census did another survey, kept the confidence level the same, and surveyed only 50 people instead of 200, what would happen to the confidence interval?
Group of answer choices
The confidence interval will be narrower
The confidence interval will be wider
The confidence interval will not change.
need more information to conclude.

Question 7
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
If the confidence level increases from 90% to 95% with the same sample, what would happen to the confidence interval?
(Please think carefully.)
Group of answer choices
The 95% confidence interval is narrower than 90% confidence interval.
We need more information to determine.
The two confidence intervals are the same.
The 95% confidence interval is wider than 90% confidence interval.

Question 8
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
Using the 90% confidence interval, can we confidently conclude that the the population mean time to complete the forms is less than 10 minutes? Why?
Group of answer choices
Yes, because the mean is 8.2.
Yes, because 10 is greater than the right endpoint of the confidence interval.
No, because 10 < 8.2 + 2.2
No, because 10 is not in the confidence interval.

Question 9
A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds.
(1) Match the symbols with the following numbers in the story.
(a) n; (b) x̄; (c) s; (d) σ.
= 20;
= 2.2;
= 0.2;
= 0.1
(2) Which distribution we should use for X̄?

Question 10
A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds.
A 95% confidence interval for the population mean weight of the heads of lettuce is
( , ) with margin of error E = .
Round to 3 decimals.

Question 11
A random survey of 29 national flags (with replacement between picks) from various countries. The sample has mean of 3.25 colors and standard deviation 1.02 colors. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Assume the number of colors on national flags is normal distributed. Let X = the number of colors on a national flag.
(a) The distribution of X̄ used to find a 95% confidence interval should be
Fill in the above blank with one from the following list: (a) normal; (b) Student t; (c) Binomial; (d) Uniform
(b) A 95% confidence interval should be
(c) The margin of error of the confidence interval is
Round to 3 decimal places.

Question 12
Suppose the marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions.
(1) Identify the following: (use decimal)
(a) x = ; (b) n = ; (c) p' =
(2) A point estimate of the population proportion of households where women make the majority of the purchasing decisions is

Question 13
Suppose the marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions.
A 95% confidence interval for the population proportion of households where the women make the majority of the purchasing decisions is ( , ) with margin of error is .
Round to 3 decimal places.

Question 14
A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important.
(1) A point estimate is
(2) A 90% confidence interval is ( , ) and the error bound is .
Round to 3 decimal places.

Question 15
Suppose the marketing company want to do a survey to study average household spending on Black Friday within $25 with 95% confidence. From the past study, the standard deviation is $108. Find the minimal number of sample size.

Added by Jennifer L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lucas Finney

10/08/2022

Step 1

2 minutes, the population standard deviation is 2.2 minutes, and the sample size is 200, we can calculate the standard error of the mean using the formula: \[ SEM = \frac{\sigma}{\sqrt{n}} = \frac{2.2}{\sqrt{200}} \] Show more…

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Question 1 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Match the symbols with the following numbers in the story. (a) n; (b) x̄; (c) s; (d) σ. = 200 = 8.2 = 2.2 Question 2 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. What is the point estimate? Question 3 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. What distribution should you use for this problem? Group of answer choices uniform t normal binomial Question 4 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. A 90% confidence interval for the population mean time to complete the forms is ( , ) Round to 3 decimal places. Question 5 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. The margin of error of the 90% confidence interval in previous question is Round to 3 decimal places. Question 6 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. If the Census did another survey, kept the confidence level the same, and surveyed only 50 people instead of 200, what would happen to the confidence interval? Group of answer choices The confidence interval will be narrower The confidence interval will be wider The confidence interval will not change. need more information to conclude. Question 7 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. If the confidence level increases from 90% to 95% with the same sample, what would happen to the confidence interval? (Please think carefully.) Group of answer choices The 95% confidence interval is narrower than 90% confidence interval. We need more information to determine. The two confidence intervals are the same. The 95% confidence interval is wider than 90% confidence interval. Question 8 The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Using the 90% confidence interval, can we confidently conclude that the the population mean time to complete the forms is less than 10 minutes? Why? Group of answer choices Yes, because the mean is 8.2. Yes, because 10 is greater than the right endpoint of the confidence interval. No, because 10 < 8.2 + 2.2 No, because 10 is not in the confidence interval. Question 9 A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds. (1) Match the symbols with the following numbers in the story. (a) n; (b) x̄; (c) s; (d) σ. = 20; = 2.2; = 0.2; = 0.1 (2) Which distribution we should use for X̄? Question 10 A sample of 20 heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was 2.2 pounds with a standard deviation of 0.1 pounds. The population standard deviation is known to be 0.2 pounds. A 95% confidence interval for the population mean weight of the heads of lettuce is ( , ) with margin of error E = . Round to 3 decimals. Question 11 A random survey of 29 national flags (with replacement between picks) from various countries. The sample has mean of 3.25 colors and standard deviation 1.02 colors. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Assume the number of colors on national flags is normal distributed. Let X = the number of colors on a national flag. (a) The distribution of X̄ used to find a 95% confidence interval should be Fill in the above blank with one from the following list: (a) normal; (b) Student t; (c) Binomial; (d) Uniform (b) A 95% confidence interval should be (c) The margin of error of the confidence interval is Round to 3 decimal places. Question 12 Suppose the marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. (1) Identify the following: (use decimal) (a) x = ; (b) n = ; (c) p' = (2) A point estimate of the population proportion of households where women make the majority of the purchasing decisions is Question 13 Suppose the marketing company did do a survey. They randomly surveyed 200 households and found that in 120 of them, the woman made the majority of the purchasing decisions. We are interested in the population proportion of households where women make the majority of the purchasing decisions. A 95% confidence interval for the population proportion of households where the women make the majority of the purchasing decisions is ( , ) with margin of error is . Round to 3 decimal places. Question 14 A poll of 1,200 voters asked what the most significant issue was in the upcoming election. Sixty-five percent answered the economy. We are interested in the population proportion of voters who feel the economy is the most important. (1) A point estimate is (2) A 90% confidence interval is ( , ) and the error bound is . Round to 3 decimal places. Question 15 Suppose the marketing company want to do a survey to study average household spending on Black Friday within $25 with 95% confidence. From the past study, the standard deviation is $108. Find the minimal number of sample size.