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The following table shows data from the Organization for Economic Co-operation and Development (OECD) on the average number of hours employed people worked per week and on real GDP per capita for seven countries.
$$\begin{array}{|l|l|l|}\hline {} & {\text { Average }} & {\text { Real per }} \\ {} & {\text { Hours }} & {\text { Capita }} \\ {} & {\text { Worked }} & {\text { GDP }} \\ \hline {\text { Germany }} & {26.2} & {\$ 41,007} \\ \hline{\text { Canada }} & {32.8} & {\$ 41,475} \\ \hline{\text { Japan }} & {33.3} & {\$ 34,929} \\ \hline{\text { OECD average }} & {34.0} & {\$ 36,074} \\{(34 \text { nations) }} \\ \hline{\text { United States }} & {34.4} & {\$ 50,429} \\ \hline{\text { Greece }} & {39.6} & {\$ 23,919} \\ \hline{\text { Korea }} & {41.6} & {\$ 32,711} \\ \hline{\text { Mexico }} & {43.0} & {\$ 16,022} \\ \hline \end{array}$$
The average German worker worked 8 fewer hours but earned $\$ 9,000$ less per year than did the average worker in the United States, Can we conclude anything about the well-being of the average German worker versus the well-being of the average worker in the United States from these data? What measures besides average number of hours worked and real per capita GDP would you like to see in evaluating the well-being of workers in OECD countries?

The following table shows data from the Organization for Economic Co-operation and Development (OECD) on the average number of hours employed people worked per week and on real GDP per capita for seven countries. $$\begin{array}{|l|l|l|}\hline {} & {\text { Average }} & {\text { Real per }} \\ {} & {\text { Hours }} & {\text { Capita }} \\ {} & {\text { Worked }} & {\text { GDP }} \\ \hline {\text { Germany }} & {26.2} & {\$ 41,007} \\ \hline{\text { Canada }} & {32.8} & {\$ 41,475} \\ \hline{\text { Japan }} & {33.3} & {\$ 34,929} \\ \hline{\text { OECD average }} & {34.0} & {\$ 36,074} \\{(34 \text { nations) }} \\ \hline{\text { United States }} & {34.4} & {\$ 50,429} \\ \hline{\text { Greece }} & {39.6} & {\$ 23,919} \\ \hline{\text { Korea }} & {41.6} & {\$ 32,711} \\ \hline{\text { Mexico }} & {43.0} & {\$ 16,022} \\ \hline \end{array}$$ The average German worker worked 8 fewer hours but earned $\$ 9,000$ less per year than did the average worker in the United States, Can we conclude anything about the well-being of the average German worker versus the well-being of the average worker in the United States from these data? What measures besides average number of hours worked and real per capita GDP would you like to see in evaluating the well-being of workers in OECD countries?

Macroeconomics

GDP:Measuring Total Production and…

Does GDP Measure What We Want It to…

For those seventh graders with cell phones, the number of programmed numbers in their phones are:
a. Find the mean number of programmed numbers on
a seventh grader's cell phone.
b. Find the median number of programmed numbers on a seventh grader's cell phone.
c. Explain the difference in values of the mean and median.
d. Remove the most extreme value and answer parts a through c again.
e. Did removing the extreme value have more effect
on the mean or the median? Explain why.

For those seventh graders with cell phones, the number of programmed numbers in their phones are: a. Find the mean number of programmed numbers on a seventh grader's cell phone. b. Find the median number of programmed numbers on a seventh grader's cell phone. c. Explain the difference in values of the mean and median. d. Remove the most extreme value and answer parts a through c again. e. Did removing the extreme value have more effect on the mean or the median? Explain why.

Elementary Statistics

Descriptive Analysis and Presentation of…

Measures of Central Tendency

Shown below are the heights (in inches) of the basketball players who were the first-round picks by National Basketball Association professional teams for 2009.
$$\begin{array}{llllllllll}
\hline 82 & 86 & 76 & 77 & 75 & 72 & 75 & 81 & 78 & 74 \\
77 & 77 & 81 & 81 & 82 & 80 & 76 & 72 & 74 & 74 \\
73 & 82 & 80 & 84 & 74 & 81 & 80 & 77 & 74 & 78 \\
\hline
\end{array}$$
a. Construct a dotplot of the heights of these players.
b. Use the dotplot to uncover the shortest and the tallest players.
c. What is the most common height and how many players share that height?
d. What feature of the dotplot illustrates the most common height?

Shown below are the heights (in inches) of the basketball players who were the first-round picks by National Basketball Association professional teams for 2009. $$\begin{array}{llllllllll} \hline 82 & 86 & 76 & 77 & 75 & 72 & 75 & 81 & 78 & 74 \\ 77 & 77 & 81 & 81 & 82 & 80 & 76 & 72 & 74 & 74 \\ 73 & 82 & 80 & 84 & 74 & 81 & 80 & 77 & 74 & 78 \\ \hline \end{array}$$ a. Construct a dotplot of the heights of these players. b. Use the dotplot to uncover the shortest and the tallest players. c. What is the most common height and how many players share that height? d. What feature of the dotplot illustrates the most common height?

Elementary Statistics

Descriptive Analysis and Presentation of…

Graphs, Pareto Diagrams, and Stemandleaf…

Questions asked

ANSWERED

Lynn Larson verified

Numerade educator

10. A group of 20 students were tested on their knowledge of a particular topic. These students received a tutorial on the subject and were then re-tested. What would be the appropriate type of test, a paired-t test or an independent sample t-test?

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ANSWERED

Kirsty Gledhill verified

Numerade educator

7. In 2015, about one in seven people with flexible health care spending accounts did not use all their account and therefore lost (or forfeited) an average of $723. Suppose a random sample of 150 people who did not use all their funds is taken in 2019 and the average amount lost was $683. Test the hypothesis that there is no significant difference in the average amount forfeited. Assume that ? = $307 per year. Use ? = 0.05 . a. Define the parameter. Use the proper symbol for the parameter. b. State the null and alternative hypotheses in terms of the parameter of interest. H0 : Ha : c. Specify the test statistic (z or t) and its critical value. Shade the critical (or rejection) region for the test (show all these on the diagram below). d. Carry out the hypothesis test using both the classical approach and the p -value approach. State your decision about H0 and conclusion about Ha .

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ANSWERED

Breanna Ollech verified

Numerade educator

6. Clearly state the null and alternative hypotheses corresponding to the following situations. Assume the parameter is called ( heta ), and use ( v ) for its hypothesized value. For example, ( H_{0}: heta=v ) vs. ( H_{a}: heta>v ). a. You (as researcher) want to show an increase in the rate of sales of single-family homes this year when compared to last year's rate. b. You are testing a recipe for "low-fat" ice cream and expect to find that its taste is inferior to traditional ice cream. c. You are trying to show that music lessons have a positive effect on self-esteem. d. You are investigating whether there is any effect (positive or negative) of the current political discourse on birth weights of infants born to immigrant mothers.

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ANSWERED

Robin Corrigan verified

Numerade educator

5. Lung Cancer is the leading cause of cancer deaths in both women and men in the US. According to the Center for Disease Control and Prevention, lung cancer accounted for more deaths than breast cancer, colon cancer, and prostate cancer combined. Overall, only about 19.4% of people who develop lung cancer survive for 5 years. a. Use this information (and a provisional initial value of p of 0.194) to determine the sample size needed for a 95% confidence interval of the true proportion surviving for five years after diagnosis to within 1%. That is, the planned margin of error E = 0.01.

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ANSWERED

Robin Corrigan verified

Numerade educator

4. A bank randomly selected ( n=250 ) checking account customers and found that ( x=110 ) of them also had savings accounts at the same bank. a. Find the sample proportion of checking account customers also having savings accounts, ( hat{p} ). b. Find the standard error of the sample proportion, ( sigma_{hat{p}} ). c. Find a 95% confidence interval for the population proportion of checking account customers who also have savings accounts.

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ANSWERED

Robin Corrigan verified

Numerade educator

1. Given the information, the sampling distribution is normally distributed, ( n=36 ), ( ar{x}=80 ), and ( sigma=12 ) : a. Find a 95% confidence interval for ( mu ). b. Are the assumptions (i.e., using ( z ) or ( t ) ) satisfied? Explain.

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ANSWERED

Jason Horton verified

Numerade educator

Question 9: A sample of n = 36 gives a mean x? = 12 and a standard deviation s = 6 for a test of Ho : ? = 10 versus Ha : ? ? 10 . Find the p-value for the test?

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ANSWERED

Jason Horton verified

Numerade educator

True or False. A t distribution is very similar to a normal distribution when the sample size is small. True False

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ANSWERED

Lucas Finney verified

Numerade educator

Question 7: If the hypothesized population mean ? = 10 and the sample mean from a sample of n = 25 is x? = 12 and the sample standard deviation s=5, determine the p-value for a one-sided (right tail hypothesis test) based on your calculated value of the test statistic (t*). State your decision. Reject Ho Reject Ha Fail to reject Ha Fail to reject Ho

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ANSWERED

Lucas Finney verified

Numerade educator

Question 6: A calculated test statistic of t* = 2.0 is obtained for two-sided hypothesis a test of ? for a sample of n = 1,000. State your decision. Reject Ho Fail to reject Ha Reject Ha Fail to reject Ho

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