Question

Based on cellphone data, a newspaper reports that the average travel distance per day in Seattle under the stay-at-home order has dropped to 61 feet from home. A local resident thinks it is less than 61 feet. He took a random sample of 14 Seattle residents, and in this sample obtained an average of 58.2 feet of travel from home and a standard deviation of 5.1 feet. From these results, do we believe that the resident’s claim is more reasonable than the newspaper’s? Test his claim with a significance level of 0.01.

Answer 1

Here we can use ti-83 calculator.

Test Hypothesis :

H0: u = 61

Ha: u < 61

Test statistic:

t = -2.05

P-value :

P = 0.0303

Conclusion :

P-value is greater than alpha=0.01 then conclude that we fail to reject the null hypothesis (H0).

Therefore, there is insufficient evidence to support the claim.