Last year, during an investigation of the time spent reading e-mails on a daily basis, researchers found that on Monday the average time was 50 minutes. Office workers claim that with the increased spam and junk mail, this time has now increased. To conduct a test, a sample of 25 employees is selected with the following results: sample mean = 51.05 minutes and sample standard deviation = 14.2 minutes. Assume times are normally distributed.
-How much evidence do we have that the workers' claim is true?
A)Little to no evidence
B)Some evidence
C)Strong evidence
D)Very strong evidence
E)Extremely strong evidence

Question

Quizplus · Accepted Answer

To evaluate the evidence supporting the workers' claim, we can perform a hypothesis test. The null hypothesis (H0) would state that the mean time spent reading emails has not increased from the previous average of 50 minutes. The alternative hypothesis (H1) would suggest that the mean time has increased. Given the sample mean (51.05 minutes), sample standard deviation (14.2 minutes), and sample size (25), we can calculate the test statistic. However, without conducting the full statistical test (e.g., calculating the p-value), the information provided suggests a small increase in the mean time (from 50 to 51.05 minutes), which might not be statistically significant given the sample standard deviation and size. Therefore, based on the information provided, there seems to be little to no evidence to strongly support the workers' claim, especially without a calculated p-value or confidence interval to compare against a significance level.

Last Year, During an Investigation of the Time Spent Reading