ason claims the average price of a good gaming laptop is at least $500. You are not so sure, and you collect data about 15 different gaming laptops. In your sample, the average price is $475 and the standard deviation is $48. You want to determine if this gives you enough evidence to refute Jason's claim at the significance level ?=0.05.   Follow the outline to complete the hypothesis test.   a. State the null and alternative hypotheses. Select your answer from one of the following options. a. ?0:?≥$500??:?<$500 b. ?0:?≤$500??:?>$500 c. ?0:?=$500??:?≠$500 d. ?0:?>$500??:?≤$500     b. Find the critical t-score for the significance level ?=0.05   Round your answer to 2 decimal places.     Which graph below best represents the rejection region for this hypothesis test?   Select your answer from one of the following options. a. Graph A b. Graph B c. Graph C     c. Calculate the standardized test statistic ?=?⎯⎯⎯−??/?√   Round your answer to 2 decimal places.       d. Draw a conclusion and interpret your result.   Select your answer from one of the following options. a. Fail to reject the null hypothesis. There is enough evidence to refute Jason's claim that the average price for a gaming laptop is at least $500. b. Fail to reject the null hypothesis. There is enough evidence to support Jason's claim that the average price for a gaming laptop is at least $500. c. Reject the null hypothesis. There is enough evidence to refute Jason's claim that the average price for a gaming laptop is at least $500. d. Reject the null hypothesis. There is enough evidence to support Jason's claim that the average price for a gaming laptop is at least $500.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Jason claims the average price of a good gaming laptop is at least $500. You are not so sure, and you collect data about 15 different gaming laptops. In your sample, the average price is $475 and the standard deviation is $48. You want to determine if this gives you enough evidence to refute Jason's claim at the significance level ?=0.05.
 
Follow the outline to complete the hypothesis test.
 
a. State the null and alternative hypotheses.
Select your answer from one of the following options.
  • a.
    ?0:?≥$500??:?<$500
  • b.
    ?0:?≤$500??:?>$500
  • c.
    ?0:?=$500??:?≠$500
  • d.
    ?0:?>$500??:?≤$500
 
 
b. Find the critical t-score for the significance level ?=0.05
 
Round your answer to 2 decimal places.
 
 
Which graph below best represents the rejection region for this hypothesis test?
 
Select your answer from one of the following options.
  • a.
    Graph A
  • b.
    Graph B
  • c.
    Graph C
 
 
c. Calculate the standardized test statistic ?=?⎯⎯⎯−??/?√
 
Round your answer to 2 decimal places.
 
 
 
d. Draw a conclusion and interpret your result.
 
Select your answer from one of the following options.
  • a.
    Fail to reject the null hypothesis. There is enough evidence to refute Jason's claim that the average price for a gaming laptop is at least $500.
  • b.
    Fail to reject the null hypothesis. There is enough evidence to support Jason's claim that the average price for a gaming laptop is at least $500.
  • c.
    Reject the null hypothesis. There is enough evidence to refute Jason's claim that the average price for a gaming laptop is at least $500.
  • d.
    Reject the null hypothesis. There is enough evidence to support Jason's claim that the average price for a gaming laptop is at least $500.
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