Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. The 95% confidence interval is from to. (Round to three decimal places as needed.) Interpret the confidence interval. Choose the correct answer below. O A. There is a 95% probability that the sample proportion of a survey that asks adults in the region whether they clothes-shop online will be within the bounds of the confidence interval found in the previous step. O B. With 95% confidence, the true percentage of all adults in the region who never clothes-shop online is within the bounds of the confidence interval found in the previous step. Oc. With 95% confidence, the sample proportion of a survey that asks adults in the region whether they clothes-shop online will be within the bounds of the confidence interval found in the previous step. O D. There is a 95% probability that the true percentage of all adults in the region who never clothes-shop online is within the bounds of the confidence interval found in the previous step.

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In a poll, 1000 adults in a region were asked about their online vs. in-store clothes shopping. One finding was that 37% of respondents never clothes-shop online. Find and interpret a 95% confidence interval for the proportion of all
adults in the region who never clothes-shop online.
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
The 95% confidence interval is from
to.
(Round to three decimal places as needed.)
Interpret the confidence interval. Choose the correct answer below.
A. There is a 95% probability that the sample proportion of a survey that asks adults in the region whether they clothes-shop online will be within the bounds of the confidence interval found in the previous step.
B. With 95% confidence, the true percentage of all adults in the region who never clothes-shop online is within the bounds of the confidence interval found in the previous step.
C. With 95% confidence, the sample proportion of a survey that asks adults in the region whether they clothes-shop online will be within the bounds of the confidence interval found in the previous step.
D. There is a 95% probability that the true percentage of all adults in the region who never clothes-shop online is within the bounds of the confidence interval found in the previous step.
Transcribed Image Text:In a poll, 1000 adults in a region were asked about their online vs. in-store clothes shopping. One finding was that 37% of respondents never clothes-shop online. Find and interpret a 95% confidence interval for the proportion of all adults in the region who never clothes-shop online. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. The 95% confidence interval is from to. (Round to three decimal places as needed.) Interpret the confidence interval. Choose the correct answer below. A. There is a 95% probability that the sample proportion of a survey that asks adults in the region whether they clothes-shop online will be within the bounds of the confidence interval found in the previous step. B. With 95% confidence, the true percentage of all adults in the region who never clothes-shop online is within the bounds of the confidence interval found in the previous step. C. With 95% confidence, the sample proportion of a survey that asks adults in the region whether they clothes-shop online will be within the bounds of the confidence interval found in the previous step. D. There is a 95% probability that the true percentage of all adults in the region who never clothes-shop online is within the bounds of the confidence interval found in the previous step.
According to one study, brain weights of men are normally distributed with a mean of 1.30 kg and a standard deviation of 0.15 kg. Use the data to answer parts (a) through (e).
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
(Type integers of decimais foundeu to jour decCImai piaces as needed.)
c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below.
А.
В.
D.
n = 12
Роp
Рop
n = 3
n= 3
n= 3
n= 12
n = 12
n= 12
n = 3
Pop
Pop
1.3
1.3
1.3
1.3
d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg. Interpret your answer in terms of sampling error.
9.56 %
(Round to two decimal places as needed.)
This is the percentage that the sampling er
made in estimating
the mean brain weight of all men
by that of the population of all men will be at most 0.1 kg.
e. Repeat part (d) for samples of size 12.
The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg is %.
(Round to two decimal places as needed.)
This is the percentage that the sampling error made in estimating
by that of
will be
0.1 kg.
Transcribed Image Text:According to one study, brain weights of men are normally distributed with a mean of 1.30 kg and a standard deviation of 0.15 kg. Use the data to answer parts (a) through (e). Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. (Type integers of decimais foundeu to jour decCImai piaces as needed.) c. Construct a graph of the normal population distribution and the two sampling distributions for brain weights. Choose the correct graph below. А. В. D. n = 12 Роp Рop n = 3 n= 3 n= 3 n= 12 n = 12 n= 12 n = 3 Pop Pop 1.3 1.3 1.3 1.3 d. Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg. Interpret your answer in terms of sampling error. 9.56 % (Round to two decimal places as needed.) This is the percentage that the sampling er made in estimating the mean brain weight of all men by that of the population of all men will be at most 0.1 kg. e. Repeat part (d) for samples of size 12. The percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.30 kg is %. (Round to two decimal places as needed.) This is the percentage that the sampling error made in estimating by that of will be 0.1 kg.
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