A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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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