2. [-/1.5 Points] DETAILS MY NOTES PRACTICE ANOTHER A production line operation is designed to fill cartons with laundry detergent to a mean weight of 64 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling. (a) Select the correct null and alternative hypotheses needed to determine whether to shut down and adjust the production line. Ho: 64 12: < 64 Ho: H = 64 H: > 64 Ho: M = 64 Ha < 64 : 5 64 Ha > 64 10 = 64 a: 64 (b) Select the appropriate conclusion and decision when Ho cannot be rejected. Conclude that there is not statistical evidence that the production line is not operating properly. Do not allow the production process to continue. Conclude that there is not statistical evidence that the production line is not operating properly. Allow the production process to continue. Conclude that there is statistical evidence that the production line is not operating properly. Allow the production process to continue. Conclude that there is statistical evidence that the production line is not operating properly. Do not allow the production process to continue. (c) Select the appropriate conclusion and decision when Ho can be rejected. Conclude that there is statistical evidence that overfilling or underfilling exists. Do not shut down and adjust the production line. Conclude that there is statistical evidence that overfilling or underfilling exists. Shut down and adjust the production line. Conclude that there is not statistical evidence that overfilling or underfilling exists. Shut down and adjust the production line. Conclude that there is not statistical evidence that overfilling or underfilling exists. Do not shut down and adjust the production line. 5. [-/3 Points] DETAILS MY NOTES PRACTICE ANOTHER You may need to use the appropriate appendix table to answer this question. In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3,173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation = $1,000. (a) Select the correct null and alternative hypotheses. Ho: M < 3,173 Ha = 3,173 O Ho: M = 3,173 Ha 3,173 Ho: H = 3,173 H > 3,173 Ho: H = 3,173 Ha: < 3,173 Hoi H > 3,173 Ha = 3,173 (b) Compute the test statistic for a sample of 185 undergraduate students with a sample mean credit card balance of $3,315. (Round your answer to two decimal places.) Find the p-value for a sample of 185 undergraduate students with a sample mean credit card balance of $3,315. (Round your answer to four decimal places.) p-value = (c) Using a 0.05 level of significance, what is your conclusion? Do not reject Ho. There is not sufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report. Reject Ho. There is not sufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report. Do not reject Ho. There is sufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report. Reject Ho. There is sufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report. 7. [-/4.75 Points] DETAILS MY NOTES PRACTICE ANOTHER You may need to use the appropriate appendix table to answer this question. CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differs from this standard. (a) Select the correct hypotheses for this situation. Ho: < 8 H: = 8 Ho: M = 8 H : < 8 Ho = 8 H 8 Ho: M = 8 Ha > 8 Ho: > 8 Ha: 8 (b) A sample of 130 shoppers showed a sample mean waiting time of 8.4 minutes. Assume a population standard deviation of = 3.2 minutes. Compute the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At = 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean waiting time differs from 8 minutes. Reject Ho. There is not sufficient evidence to conclude that the population mean waiting time differs from 8 minutes. Do not reject Ho. There is not sufficient evidence to conclude that the population mean waiting time differs from 8 minutes. Reject Ho. There is sufficient evidence to conclude that the population mean waiting time differs from 8 minutes. (d) Construct a 95% confidence interval for the population mean. (Round your answers to two decimal places.) to Does the confidence interval support your conclusion? The confidence interval ---Select--- the hypothesized value of Mo' therefore we ---Select--- Ho. The conclusion ---Select--- the same as in part (c).