he owner of a local grocery chain claims that the true mean checkout time for customers is less than 12 minutes. in order to test her claim she took a random sample of 64 customers and obtained the sample mean checkout time of 11.4 minutes with a standard deviation of 2.4 minutes. compute t he test statistic value for testing the pair of hypothesis

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16-12-2022
Mathematics

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he owner of a local grocery chain claims that the true mean checkout time for customers is less than 12 minutes. in order to test her claim she took a random sample of 64 customers and obtained the sample mean checkout time of 11.4 minutes with a standard deviation of 2.4 minutes. compute t he test statistic value for testing the pair of hypothesis

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saimaparvezVT saimaparvezVT · Answer 1 · 2022-12-22T01:31:45-05:00

The required value of the t-test statistic is -2 for testing the pair of hypotheses.

To compute the test statistic for this hypothesis test, we need to use the formula for the t-statistic:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population mean (in this case, the true mean checkout time that the owner is claiming), s is the sample standard deviation, and n is the sample size.

Plugging in the given values, we get:

t = (11.4 - 12) / (2.4 / √64) = -0.6 / 0.3 = -2

So, the test statistic value is -2. This value can be used to determine the p-value, which can be compared to a significance level to determine whether to reject or fail to reject the null hypothesis.

Learn more about the t-test here :

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