Question

When male workers were asked how many hours they worked in the previous​ week, the mean was with a standard deviation of . Does this suggest that the population mean work week for men exceeds ​hours

Answer 1

We can conclude that the population mean work week for men exceed 40 hours.

Explanation:

Given that :

Mean, xbar = 45.6

Standard deviation, s = 14.6

Sample size, n = 893

x = 40

Hypothesis :

H0 : μ = 40

H1 : μ > 40

Using test statistic for one sample t test :

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (45.6 - 40) ÷ (14.6/√(893))

T = (5.6 / 0.4885703)

Test statistic = 11.46

Using the Pvalue approach :

Reject H0 : if Pvalue < α

Pvalue for test statistic of 11.46 will be approximately 0 (Extremely low)

Hence, Pvalue < α ; We reject H0 ; and conclude that population mean work week for men exceed 40 hours