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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about u if the sample size, n, is 13.
(b) Construct an 80% confidence interval about u if the sample size, n, is 29.
(c) Construct a 96% confidence interval about u if the sample size, n, is 13.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
E
Click the icon to view the table of areas under the t-distribution.
(a) Construct an 80% confidence interval about u if the sample size, n, is 13.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
(b) Construct an 80% confidence interval about u if the sample size, n, is 29.
Lower bound: ; Upper bound:
Use ascending order. Round to one decimal place as needed.)
How does increasing the sample size affect the margin of error, E?
A. As the sample size increases, the margin of error decreases.
O B. As the sample size increases, the margin of error stays the same.
O C. As the sample size increases, the margin of error increases.
(c) Construct a 96% confidence interval about u if the sample size, n, is 13.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the marain of error. E?

Screen Shot 2019-08-01 at 7.07.05 PM.png

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about u if the sample size, n, is 13.
(b) Construct an 80% confidence interval about u if the sample size, n, is 29.
(c) Construct a 96% confidence interval about u if the sample size, n, is 13.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
O C. As the sample size increases, the margin of error increases.
(c) Construct a 96% confidence interval about u if the sample size, n, is 13.
Lower bound: ; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?
O A. As the percent confidence increases, the size of the interval decreases.
O B. As the percent confidence increases, the size of the interval increases.
O C. As the percent confidence increases, the size of the interval stays the same.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
O A. No, the population needs to be normally distributed.
O B. Yes, the population needs to be normally distributed.
O C. No, the population does not need to be normally distributed.
O D. Yes, the population does not need to be normally distributed.

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Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The number of people with blood type A in a random sample of 26 people.
(b) The amount of snowfall.
(a) Is the number of people with blood type A in a random sample of 26 people discrete or continuous?
O A. The random variable is continuous. The possible values are x = 0, 1, 2,..., 26.
O B. The random variable is discrete. The possible values are 0 Ex $ 26.
O C. The random variable is discrete. The possible values are x = 0, 1, 2,..., 26.
O D. The random variable is continuous. The possible values are OSX S 26.
(b) Is the amount of snowfall discrete or continuous?
O A. The random variable is discrete. The possible values are s 2 0.
O B. The random variable is discrete. The possible values are s = 1, 2, 3, ....
O C. The random variable is continuous. The possible values are s 2 0.
O D. The random variable is continuous. The possible values are s = 1, 2, 3, ....

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Conduct the following test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently
using simple random sampling.
Test whether p1 # P2. Sample data are X1 = 28, n, = 255, X2 = 38, and n2 = 301.
(a) Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: P1 = 0 versus H1: P1 = 0
O B. Ho: P1 = P2 versus H1 : P1 # P2
O C. Ho: P1 = P2 versus H1: P1 <P2
O D. Ho: P1 = P2 versus H1: P1 > P2
(b) The test statistic zo is . (Round to two decimal places as needed.)
(c) The P-value is . (Round to three decimal places as needed.)
Test the null hypothesis. Choose the correct conclusion below.
O A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, * P2.
O B. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, > p2.
O C. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <p2.
O D. Reject the null hypothesis because there is sufficient evidence to conclude that p, # P2.

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