Question

Suppose you have collected data about the number of Veoride bikes laying on the ground each day for 36 consecutive days. Your sample mean is 32 and your sample standard deviation is 10. Veoride keeps track of the number of bikes left on the ground and has determined the population mean is less than or equal to 33. Conduct a hypothesis test to determine if these data provide enough evidence to conclude that the population mean is greater than 33. Show your work and include a full conclusion. Use alpha = 0.05.

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H₀ : = 33

H_a : > 33

Test statistic = t

= ( - ) / s / n

= (32 - 33) / 10 / 36

Test statistic = -0.6

P-value = 0.7238

= 0.05

P-value >

Fail to reject the null hypothesis .

There is not enough evidence to conclude that the population mean is greater than 33 .