(c) Find the standardized test statistic t. %3D = (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 not in the rejection region(s). O B. Fail to reject H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is in the rejection region(s). O D. Reiect Hn because tho tort oto

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(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 H₀ because the test statistic is not in the rejection region(s).
- O B. Fail to reject H₀ because the test statistic is not in the rejection region(s).
- O C. Fail to reject H₀ because the test statistic is in the rejection region(s).
- O D. Reject H₀ because the test statistic is in the rejection region(s).

(e) Interpret the decision in the context of the original claim.

- O A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $19,000.
- O B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $19,000.
- O C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $19,000.
- O D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $19,000.

Click to select your answer(s).
Transcribed Image Text:(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 H₀ because the test statistic is not in the rejection region(s). - O B. Fail to reject H₀ because the test statistic is not in the rejection region(s). - O C. Fail to reject H₀ because the test statistic is in the rejection region(s). - O D. Reject H₀ because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. - O A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $19,000. - O B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $19,000. - O C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $19,000. - O D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $19,000. Click to select your answer(s).
A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 23 similar vehicles has a mean price of $19,585 and a standard deviation of $1910. Is there enough evidence to reject the claim at an α = 0.01? Complete parts (a) through (e).

(a) Write the claim mathematically and identify H₀ and H₁.
Which of the following correctly states H₀ and H₁?

A. H₀: µ = $19,000  
    H₁: µ ≠ $19,000

B. H₀: µ ≠ $19,000  
    H₁: µ = $19,000

C. H₀: µ ≤ $19,000  
    H₁: µ > $19,000

D. H₀: µ < $19,000  
    H₁: µ = $19,000

E. H₀: µ ≥ $19,000  
    H₁: µ = $19,000

F. H₀: µ = $19,000  
    H₁: µ > $19,000

(b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), t₀?

(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice (Round to three decimal places as needed).

-1 = t₀ = 1

1. t₀ =

2. t < -1

3. t > 

(c) Find the standardized test statistic t.

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

A. Reject H₀ because the test statistic is not in the rejection region(s).

B. Fail to reject H₀ because the test statistic is not in the rejection region(s).

C. Fail to reject H₀ because the test statistic is in the rejection region(s).

D. Reject H₀ because the test statistic is in the rejection region(s).

(e) Interpret the decision in the context of the original claim.

A. At the 1%
Transcribed Image Text:A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 23 similar vehicles has a mean price of $19,585 and a standard deviation of $1910. Is there enough evidence to reject the claim at an α = 0.01? Complete parts (a) through (e). (a) Write the claim mathematically and identify H₀ and H₁. Which of the following correctly states H₀ and H₁? A. H₀: µ = $19,000 H₁: µ ≠ $19,000 B. H₀: µ ≠ $19,000 H₁: µ = $19,000 C. H₀: µ ≤ $19,000 H₁: µ > $19,000 D. H₀: µ < $19,000 H₁: µ = $19,000 E. H₀: µ ≥ $19,000 H₁: µ = $19,000 F. H₀: µ = $19,000 H₁: µ > $19,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), t₀? (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice (Round to three decimal places as needed). -1 = t₀ = 1 1. t₀ = 2. t < -1 3. t > (c) Find the standardized test statistic t. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Reject H₀ because the test statistic is not in the rejection region(s). B. Fail to reject H₀ because the test statistic is not in the rejection region(s). C. Fail to reject H₀ because the test statistic is in the rejection region(s). D. Reject H₀ because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. A. At the 1%
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 mean price of 3 year old sports utility vehicle: μ = $19,000sample size : n =23sample mean price of sample 3 year old sports utility vehicle :x¯ =$19586 sample standard deviation price of sample 3 year old sports utility vehicle :s=$1910

 

Part A hypothesises

The null and alternative hypothesises are given as :

A.   H0: μ = $19,000    vs  H1: μ  $19,000

 

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