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Which of the following correctly states Ho and H,? O A. Ho: u> $5,100 Hius $5,100 Ос. Но: и $5,100 Hai> $5,100 OF. Ho: H> $5,100 Hi us$5,100 о в. Но: и $5,100 Hai H* $5,100 VE. Ho: us $5,100 O D. Ho: u2 $5 100 Hiu< $5,100 Hi u> $5,100 (b) Find the critical value(s) and identify the rejection region(s).

Which of the following correctly states Ho and H,? O A. Ho: u> $5,100 Hius $5,100 Ос. Но: и $5,100 Hai> $5,100 OF. Ho: H> $5,100 Hi us$5,100 о в. Но: и $5,100 Hai H* $5,100 VE. Ho: us $5,100 O D. Ho: u2 $5 100 Hiu< $5,100 Hi u> $5,100 (b) Find the critical value(s) and identify the rejection region(s).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $5,323 and a standard deviation of $550. At a = 0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states H, and H,? A. Ho: µ> $5,100 Hai Hs $5,100 B. Ho: µ= $5,100 Hai µ# $5,100 Ho: µ= $5,100 Ha: µ> $5,100 O D. Ho: µ2 $5,100 Hai H< $5,100 E. Ho: µs $5,100 Hai µ > $5,100 O F. Ho: µ> $5,100 Hạ: us $5,100 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? t6 =0 (Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text:A credit card company claims that the mean credit card debt for individuals is greater than $5,100. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $5,323 and a standard deviation of $550. At a = 0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states H, and H,? A. Ho: µ> $5,100 Hai Hs $5,100 B. Ho: µ= $5,100 Hai µ# $5,100 Ho: µ= $5,100 Ha: µ> $5,100 O D. Ho: µ2 $5,100 Hai H< $5,100 E. Ho: µs $5,100 Hai µ > $5,100 O F. Ho: µ> $5,100 Hạ: us $5,100 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? t6 =0 (Use a comma to separate answers as needed. Round to three decimal places as needed.)
Expert Solution
Step 1: Given information:

The claim: A credit card company claims that the mean credit card debt for individuals is greater than $5100

N: The number of a random sample of cardholders= 28

It is required to find –

  1. H0 and H1
  2. Critical values.
Step 2

To test the above claim the most appropriate test is a one-sample t-test.

The null and alternative hypothesis are

H0:μ ≤ $5100

H1:μ > $5100

The above hypothesis right-tailed test.

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