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A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 38 cardholders has a mean credit card balance of $5,050 and a standard deviation of $600. At a = 0.10. can vou suDport the claim? Complete parts (a) throuah (d) below. Assume the population is normallv distributed. O A. Ho: H= $4,900 H:H#$4,900 O B. Ho: > $4,900 Hus $4,900 OC. Ho: u2$4,900 H:H<$4,900 OE. Ho: HS$4,900 OF. Ho: = $4,900 O D. Ho: >$4,900 H: u>$4,900 H:u> $4,900 H:us $4,900 (b) Find the critical value and identify the rejection region. What is the critical value, to? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O B. t< and t> OD. OC. t< (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject H, because the test statistic is in the rejection region. O B. Fail to reject Ho because the test statistic is in the rejection region. O C. Reject Ho because the test statistic is not in the rejection region. O D. Fail to reiect Hn because the test statistic is not in the reiection reaion.

A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 38 cardholders has a mean credit card balance of $5,050 and a standard deviation of $600. At a = 0.10. can vou suDport the claim? Complete parts (a) throuah (d) below. Assume the population is normallv distributed. O A. Ho: H= $4,900 H:H#$4,900 O B. Ho: > $4,900 Hus $4,900 OC. Ho: u2$4,900 H:H<$4,900 OE. Ho: HS$4,900 OF. Ho: = $4,900 O D. Ho: >$4,900 H: u>$4,900 H:u> $4,900 H:us $4,900 (b) Find the critical value and identify the rejection region. What is the critical value, to? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O B. t< and t> OD. OC. t< (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject H, because the test statistic is in the rejection region. O B. Fail to reject Ho because the test statistic is in the rejection region. O C. Reject Ho because the test statistic is not in the rejection region. O D. Fail to reiect Hn because the test statistic is not in the reiection reaion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 38 cardholders has a mean credit card balance of $5,050 and a standard deviation of $600. At a = 0.10. can vou suDport the claim? Complete parts (a) throuah (d) below. Assume the population is normallv distributed. O A. Ho: H= $4,900 H:H#$4,900 O B. Ho: > $4,900 H: us $4,900 OC. Ho: u2$4,900 H:H<$4,900 OE. Ho: HS $4,900 H:u>$4,900 OF. Ho: = $4,900 H:> $4,900 O D. Ho: H> $4,900 HuS $4,900 (b) Find the critical value and identify the rejection region. What is the critical value, to? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O B. t< and t> O A. t> OC. t< OD. <t< (c) Find the standardized test statistic t t= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho because the test statistic is in the rejection region. O B. Fail to reject Ho because the test statistic is in the rejection region. O C. Reject Ho because the test statistic is not in the rejection region. O D. Fail to reiect Hn because the test statistic is not in the reiection reaion.
Transcribed Image Text:A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 38 cardholders has a mean credit card balance of $5,050 and a standard deviation of $600. At a = 0.10. can vou suDport the claim? Complete parts (a) throuah (d) below. Assume the population is normallv distributed. O A. Ho: H= $4,900 H:H#$4,900 O B. Ho: > $4,900 H: us $4,900 OC. Ho: u2$4,900 H:H<$4,900 OE. Ho: HS $4,900 H:u>$4,900 OF. Ho: = $4,900 H:> $4,900 O D. Ho: H> $4,900 HuS $4,900 (b) Find the critical value and identify the rejection region. What is the critical value, to? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O B. t< and t> O A. t> OC. t< OD. <t< (c) Find the standardized test statistic t t= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho because the test statistic is in the rejection region. O B. Fail to reject Ho because the test statistic is in the rejection region. O C. Reject Ho because the test statistic is not in the rejection region. O D. Fail to reiect Hn because the test statistic is not in the reiection reaion.
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