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A used car dealer says that tne mean price of a three-year-0ld sports utility venicie is $21,000. 21 similar vehicles has a mean price of $21,696 and a standard deviation of $1956. Is there enough evidence to reject the claim at a= 0.05? Complete parts (a) through (e) below. Assume the population is nomally distributed. ihis claim Iind that a random sample of ..... (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H,? O A. Ho u#$21,000 Ha p=$21,000 O B. Ho: µ= $21,000 H: µ<$21,000 O C. H9 μ2 521,000 Hau<$21,000 O D. Ho: µ= $21,000 O E. Ho µ> $21,000 F. Ho: µ= $21,000 Ha p> $21,000 Ha: us$21,000 Ha: u#$21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to =] (Use a comma to separate answers as needed. Round to three decimal places as needed.)

A used car dealer says that tne mean price of a three-year-0ld sports utility venicie is $21,000. 21 similar vehicles has a mean price of $21,696 and a standard deviation of $1956. Is there enough evidence to reject the claim at a= 0.05? Complete parts (a) through (e) below. Assume the population is nomally distributed. ihis claim Iind that a random sample of ..... (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H,? O A. Ho u#$21,000 Ha p=$21,000 O B. Ho: µ= $21,000 H: µ<$21,000 O C. H9 μ2 521,000 Hau<$21,000 O D. Ho: µ= $21,000 O E. Ho µ> $21,000 F. Ho: µ= $21,000 Ha p> $21,000 Ha: us$21,000 Ha: u#$21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to =] (Use a comma to separate answers as needed. Round to three decimal places as needed.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The image presents a problem involving hypothesis testing related to the mean price of a three-year-old sports utility vehicle. Here's a detailed transcription: --- **Problem Statement:** A used car dealer claims that the mean price of a three-year-old sports utility vehicle is $21,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehicles has a mean price of $21,696 and a standard deviation of $1956. Is there enough evidence to reject the claim at \( \alpha = 0.05 \)? Complete parts (a) through (e) below. Assume the population is normally distributed. **(a) Write the claim mathematically and identify \( H_0 \) and \( H_a \).** Which of the following correctly states \( H_0 \) and \( H_a \)? - **A.** \( H_0: \mu \neq \$21,000 \) \( H_a: \mu = \$21,000 \) - **B.** \( H_0: \mu = \$21,000 \) \( H_a: \mu < \$21,000 \) - **C.** \( H_0: \mu \geq \$21,000 \) \( H_a: \mu < \$21,000 \) - **D.** \( H_0: \mu = \$21,000 \) \( H_a: \mu \neq \$21,000 \) - **E.** \( H_0: \mu \leq \$21,000 \) \( H_a: \mu > \$21,000 \) - **F.** *(Selected Option)* \( H_0: \mu = \$21,000 \) \( H_a: \mu \neq \$21,000 \) **(b) Find the critical value(s) and identify the rejection region(s).** What is(are) the critical value(s), \( t_0 \)? \( t_0 = \) [ ] (Use a comma to separate answers as needed. Round to three decimal places as needed.) --- The task involves selecting the appropriate hypotheses and computing the critical value for hypothesis testing. The selected hypotheses correspond to option F, indicating a two-tailed test since the claim is tested against the possibility of the
Transcribed Image Text:The image presents a problem involving hypothesis testing related to the mean price of a three-year-old sports utility vehicle. Here's a detailed transcription: --- **Problem Statement:** A used car dealer claims that the mean price of a three-year-old sports utility vehicle is $21,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehicles has a mean price of $21,696 and a standard deviation of $1956. Is there enough evidence to reject the claim at \( \alpha = 0.05 \)? Complete parts (a) through (e) below. Assume the population is normally distributed. **(a) Write the claim mathematically and identify \( H_0 \) and \( H_a \).** Which of the following correctly states \( H_0 \) and \( H_a \)? - **A.** \( H_0: \mu \neq \$21,000 \) \( H_a: \mu = \$21,000 \) - **B.** \( H_0: \mu = \$21,000 \) \( H_a: \mu < \$21,000 \) - **C.** \( H_0: \mu \geq \$21,000 \) \( H_a: \mu < \$21,000 \) - **D.** \( H_0: \mu = \$21,000 \) \( H_a: \mu \neq \$21,000 \) - **E.** \( H_0: \mu \leq \$21,000 \) \( H_a: \mu > \$21,000 \) - **F.** *(Selected Option)* \( H_0: \mu = \$21,000 \) \( H_a: \mu \neq \$21,000 \) **(b) Find the critical value(s) and identify the rejection region(s).** What is(are) the critical value(s), \( t_0 \)? \( t_0 = \) [ ] (Use a comma to separate answers as needed. Round to three decimal places as needed.) --- The task involves selecting the appropriate hypotheses and computing the critical value for hypothesis testing. The selected hypotheses correspond to option F, indicating a two-tailed test since the claim is tested against the possibility of the
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