a cell phone user wants to determine what data plan she should get on her new contract. she selects a random sample of 15 months and finds her average usage to be 11.25 gb with a standard deviation of 2.5 gb. she wants to test h0: µ ≥ 12 gb versus ha: µ < 12 gb. what is the p-value for this test? (round your answer to 3 decimal places.)

The p-value is a figure that, when generated from a statistical test, indicates how likely it is that, if the null hypothesis were true, you would have discovered a certain collection of observations. In order to determine whether to reject the null hypothesis, P-values are utilized in hypothesis testing.

The following can be deduced from the information:

Number = 15

Mean = 11.25

Standard deviation = 2.5

Test statistics = -1.162

This is the left tailed test.

The p value will be:

P(z < -1.162 )

This will be looked at in the distribution table

= 0.1324

P-value = 0.1324

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