Question

1. Suppose the amount of money UCLA students spend on movies during a one month period observes normal distribution. A sample is taken containing monthly movie spending in dollars for several UCLA students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and 53.46. Round your numbers to two decimal places. All the calculation should be preceded with the formula used.

a. Calculate the sample mean, sample standard deviation, and standard error.

                                   

                       

                       

b. Estimate the average monthly movie spending by all UCLA students with a 95% confidence interval.

           

                       

c. From this sample, can we conclude that the average monthly movie spending by SIUE students is lower than 63.45 dollars at the 0.01 level of significance? (Show 7 steps)

           

d. Suppose the population standard deviation is known with a value of 7.14. Would the conclusions in b and c change? If yes, what would be the new conclusions? ? (Show 7 steps)

                       

           

                       

  

1. Suppose the amount of money UCLA students spend on movies during a one month period observes normal distribution. A sample is taken containing monthly movie spending in dollars for several UCLA students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and 53.46. Round your numbers to two decimal places. All the calculation should be preceded with the formula used.

a. Calculate the sample mean, sample standard deviation, and standard error.

                                   

                       

                       

b. Estimate the average monthly movie spending by all UCLA students with a 95% confidence interval.

           

                       

c. From this sample, can we conclude that the average monthly movie spending by SIUE students is lower than 63.45 dollars at the 0.01 level of significance? (Show 7 steps)

           

d. Suppose the population standard deviation is known with a value of 7.14. Would the conclusions in b and c change? If yes, what would be the new conclusions? ? (Show 7 steps)

                       

1. Suppose the amount of money UCLA students spend on movies during a one month period observes normal distribution. A sample is taken containing monthly movie spending in dollars for several UCLA students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and 53.46. Round your numbers to two decimal places. All the calculation should be preceded with the formula used.

a. Calculate the sample mean, sample standard deviation, and standard error.

                                   

                       

                       

b. Estimate the average monthly movie spending by all UCLA students with a 95% confidence interval.

           

                       

c. From this sample, can we conclude that the average monthly movie spending by SIUE students is lower than 63.45 dollars at the 0.01 level of significance? (Show 7 steps)

           

d. Suppose the population standard deviation is known with a value of 7.14. Would the conclusions in b and c change? If yes, what would be the new conclusions? ? (Show 7 steps)

                       

           

                       

           

1. Suppose the amount of money UCLA students spend on movies during a one month period observes normal distribution. A sample is taken containing monthly movie spending in dollars for several UCLA students as 66.72, 50.23, 40.57, 45.53, 60.45, 70.85, 57.49, and 53.46. Round your numbers to two decimal places. All the calculation should be preceded with the formula used.

a. Calculate the sample mean, sample standard deviation, and standard error.

b. Estimate the average monthly movie spending by all UCLA students with a 95% confidence interval.

c. From this sample, can we conclude that the average monthly movie spending by UCLA students is lower than 63.45 dollars at the 0.01 level of significance? (Show 7 steps)

d. Suppose the population standard deviation is known with a value of 7.14. Would the conclusions in b and c change? If yes, what would be the new conclusions? ? (Show 7 steps)

                       

                       

Answer 1

The mean , S.D and the standard error is calculated using the formula mentioned. The critical value are obtained from STATKEY (image attached for reference). We construct the 95% C.I using th formula mentioned. For the hypothesis testing we compare the test statistic with the critical value and make the required conclusion.