The waiting time for patients at local walkin health clinic

The waiting time for patients at local walk-in health clinic follows a normal distribution with a mean of 15 minutes. The quality-assurance department found in a sample of 50 patients that the mean waiting time was 14.25 minutes. At the 0.05 level, is the mean waiting time less than 15 minutes? The p-value is 0.0046. What is your conclusion regarding this hypothesis.

Solution

H0: mean = 15

Ha: mean < 15

ONe sided test

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p value = 0.0046

As p <0.05, reject null hypothesis.

I.e. mean is statistically different at the 0.05 level.

Mean is less than 15 and this is statistically evident.