Question

A random sample of 81 restaurant patrons were found to have a mean age of 37 with a standard deviation of s = 10. Find the value of the test statistic z for evaluating the null hypothesis mu = 35?

Answer 1

The value of the test statistic z for evaluating the null hypothesis mu = 35 is 1.8.

Step-by-step explanation:

To find the value of the test statistic z for evaluating the null hypothesis mu = 35, we can use the formula:

z = (x - mu) / (s / sqrt(n))

Where:

• x is the sample mean (37)
• mu is the population mean (35)
• s is the standard deviation (10)
• n is the sample size (81)

Substituting the values, we get:

z = (37 - 35) / (10 / sqrt(81))

z = 2 / (10 / 9)

z = 1.8