A bank found that in recent years, the average monthly charge on its credit card was $1,400. With an improving economy, they suspect that this amount has increased. A sample of 45 customers resulted in an average monthly charge of $1,426.17 with a standard deviation of $183.81. Do these data provide statistical evidence that the average monthly charge has increased? Formulate the appropriate hypothesis test and draw a conclusion. Use a level of significance of 0.05. Is there sufficient evidence at the 0.05 level of significance that the average monthly charge has increased? Determine the null hypothesis, Ho, and the alternative hypothesis, H. Họ: H;: (Type whole numbers.)

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A bank found that in recent years, the average monthly charge on its credit card was $1,400. With an improving
economy, they suspect that this amount has increased. A sample of 45 customers resulted in an average monthly
charge of $1,426.17 with a standard deviation of $183.81. Do these data provide statistical evidence that the average
monthly charge has increased? Formulate the appropriate hypothesis test and draw a conclusion. Use a level of
significance of 0.05.
Is there sufficient evidence at the 0.05 level of significance that the average monthly charge has increased?
Determine the null hypothesis, H,, and the alternative hypothesis, H,.
Ho:
H;:
(Type whole numbers.)
Compute the test statistic.
|(Round to two decimal places as needed.)
Using a level of significance of 0.05, what is the critical value?
|(Round to two decimal places as needed.)
Find the p-value for the test.
| (Round to three decimal places as needed.)
What is your conclusion?
The p-value is
the chosen value of a, so
the null hypothesis. There is
evidence to conclude that mean is greater than 1,400.
insufficient
sufficient
Please provide the final answers in the format
like the picture above.
For the conclusion, the choices are 1st box
greater than/ less than , 2nd box reject/do not
reject.
Thank you
Transcribed Image Text:A bank found that in recent years, the average monthly charge on its credit card was $1,400. With an improving economy, they suspect that this amount has increased. A sample of 45 customers resulted in an average monthly charge of $1,426.17 with a standard deviation of $183.81. Do these data provide statistical evidence that the average monthly charge has increased? Formulate the appropriate hypothesis test and draw a conclusion. Use a level of significance of 0.05. Is there sufficient evidence at the 0.05 level of significance that the average monthly charge has increased? Determine the null hypothesis, H,, and the alternative hypothesis, H,. Ho: H;: (Type whole numbers.) Compute the test statistic. |(Round to two decimal places as needed.) Using a level of significance of 0.05, what is the critical value? |(Round to two decimal places as needed.) Find the p-value for the test. | (Round to three decimal places as needed.) What is your conclusion? The p-value is the chosen value of a, so the null hypothesis. There is evidence to conclude that mean is greater than 1,400. insufficient sufficient Please provide the final answers in the format like the picture above. For the conclusion, the choices are 1st box greater than/ less than , 2nd box reject/do not reject. Thank you
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