Question

A local casino operator was interested in finding ways to attract younger customers and decided to analyze the ages of customers playing different games. A sample of 25 people playing the slot machines had an average age of 48.7 years with a standard deviation of 6.8. A sample of 35 people playing the roulette wheel had an average age of 50.5 years with a standard deviation of 3.2.

Can it be concluded that the mean age of those playing the slot machines is less than the mean age of those playing the roulette wheel.

Perform the appropriate hypothesis test with a significance level of 0.05.

Do your work in an Excel file. Make Excel do the test statistic calculation.!!!!!!!!!!!

Answer 1

The test hypothesis is

Now, the value of test static can be found out by following formula:

Using Excel's function , the P-value for t0 = -1.371 in an power-tailed t-test with 58 degrees of freedom can be computed as

Since P = 0.0878 > 0.05, we fail to reject the null hypothesis

Degrees of freedom on the t-test statistic are n1 + n2 - 2 = 25 + 35 - 2 = 58

This implies that

Since, the t distribution is symmetric about zero, so -t{0.05, 58}

Since , we fail to reject the null hypothesis