Question

A simple random sample of 60 items resulted in a sample mean of 70. The population standard deviation is σ = 10. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) ___ to ___. (b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) ___ to ___. (c) What is the effect of a larger sample size on the interval estimate? A larger sample size does not change the margin of error. _? A larger sample size provides a larger margin of error. _? A larger sample size provides a smaller margin of error. _? 

          A simple random sample of 60 items resulted in a sample mean of 70. The population standard deviation is σ = 10.

(a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.)
___ to ___.

(b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.)
___ to ___.

(c) What is the effect of a larger sample size on the interval estimate?
A larger sample size does not change the margin of error. _?
A larger sample size provides a larger margin of error. _?
A larger sample size provides a smaller margin of error. _?
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Added by Jose Maria L.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A simple random sample of 60 items resulted in a sample mean of 70. The population standard deviation is σ = 10. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) ___ to ___. (b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) ___ to ___. (c) What is the effect of a larger sample size on the interval estimate? A larger sample size does not change the margin of error. _? A larger sample size provides a larger margin of error. _? A larger sample size provides a smaller margin of error. _?
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A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 10. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) ____ to ____ (b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) ____ to _____ (c) What is the effect of a larger sample size on the interval estimate? *A larger sample size provides a smaller margin of error. *A larger sample size does not change the margin of error. *A larger sample size provides a larger margin of error.

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A simple random sample of 80 items resulted in a sample mean of 70. The population standard deviation is σ = 5. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) to (b) Assume that the same sample mean was obtained from a sample of 160 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) to (c) What is the effect of a larger sample size on the interval estimate? A larger sample size provides a smaller margin of error. A larger sample size does not change the margin of error. A larger sample size provides a larger margin of error.

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Transcript

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00:01 Hi, i'm david and i'm here to have you answer your question.
00:03 Now let me bring up your question here.
00:06 In this question, when you discuss about the confidence interval for the mean, let me remind you that the confidence for the mean, we have the x bar plus or minus z and 4 over 2 times with the sigma over square of n.
00:25 Now in this question here we're given that the sum of n equal to the 60 and and we have the sample mean x bar equal to the 70 and the population standard division equal to the 15.
00:40 The question i is asking us to find the 95 % calm interval for the publication mean.
00:47 We see that we have obtained the x bar, sigma and n.
00:51 The only quantity we don't know will be the z and 4 over 2.
00:55 At the 95 % calm interval and 5 equal to the 5%.
00:59 Therefore, n4 over 2, it will equal to the 2 .5%, which is equal to 0 .0 .25.
01:08 It will look up the z table, the z of the zbunzel 25, equal to 1 .96.
01:14 Therefore, we have the 95 % compote interval.
01:18 It will be the x bar 70 plus and minus 1 .96...
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