Last Year,during an Investigation of the Time Spent Reading Emails

question 107

Short Answer

Last year,during an investigation of the time spent reading emails 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 = 4.42 minutes.Calculate the appropriate test statistic to test the hypothesis that the time has increased from last year.

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Definitions:

Standard Normal Probability Distribution

A normal distribution with a mean of 0 and a standard deviation of 1, used in statistical analysis to represent standardized values of a dataset.

Probability Density Function

A function that describes the likelihood of a random variable to take on a particular value.

Continuous Random Variable

A variable whose value is not fixed and can assume an infinite number of values within a given range.

Normal Probability Distribution

A bell-shaped distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.