You may need to use the appropriate appendix table or technology to answer this question. A sample of 64 account balances from a credit company showed an average daily balance of $1,135. The standard deviation of the population is known to be $160. We are interested in determining if the mean of all account balances (i.e., population mean) is significantly different from $1,100. (a) Develop the appropriate hypotheses (in dollars) for this problem. (Enter - for as needed.) Ho: μ=1100 H₂: μ!= 1100 (b) Compute the test statistic. 1.75 ✔ (c) Compute the p-value. (Round your answer to four decimal places.) p-value 0.0401 x (d) Using the p-value approach and a = 0.05, test the above hypotheses. What is your conclusion? O Reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Do not reject Ho. There is insufficient evidence conclude that the mean of all account balances is significantly different from $1,100.

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You may need to use the appropriate appendix table or technology to answer this question.
A sample of 64 account balances from a credit company showed an average daily balance of $1,135. The standard deviation of the population is known to be $160. We are interested in determining if the mean of all account balances (i.e., population mean) is significantly different from
$1,100.
(a) Develop the appropriate hypotheses (in dollars) for this problem. (Enter != for as needed.)
Ho:
μl 1100
Ha:
μ! = 1100
(b) Compute the test statistic.
1.75
(c) Compute the p-value. (Round your answer to four decimal places.)
p-value = 0.0401
X
(d) Using the p-value approach and a = 0.05, test the above hypotheses. What is your conclusion?
O Reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
O Do not reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from
$1,100.
O Do not reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
O Reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
(e) Using the critical value approach and α = 0.05, test the hypotheses.
Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic <
test statistic 2
X
What is your conclusion?
Ⓒ Reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
O Do not reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
O Do not reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
O Reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100.
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Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A sample of 64 account balances from a credit company showed an average daily balance of $1,135. The standard deviation of the population is known to be $160. We are interested in determining if the mean of all account balances (i.e., population mean) is significantly different from $1,100. (a) Develop the appropriate hypotheses (in dollars) for this problem. (Enter != for as needed.) Ho: μl 1100 Ha: μ! = 1100 (b) Compute the test statistic. 1.75 (c) Compute the p-value. (Round your answer to four decimal places.) p-value = 0.0401 X (d) Using the p-value approach and a = 0.05, test the above hypotheses. What is your conclusion? O Reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Do not reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Do not reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. (e) Using the critical value approach and α = 0.05, test the hypotheses. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic < test statistic 2 X What is your conclusion? Ⓒ Reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Do not reject Ho. There is insufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Do not reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. O Reject Ho. There is sufficient evidence to conclude that the mean of all account balances is significantly different from $1,100. Need Help? Read It X
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