Question

For problems #11 to #15, test the given claim. Identify the null hypothesis and alternative hypothesis, test statistic, P-value, then state the conclusion about the null hypothesis, and final conclusion that addresses the original claim. Graphing calc encouraged for problem.

12. Data Set “Speed Dating” from our textbook includes an “attractive” rating of male dates made by the female dates. The summary statistics are n = 199 and x = 6.19. Assume that σ = 1.99, use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00.

Please show the graphing calculator commands.

Answer 1

Solution:

The null and alternative hypotheses are:

The steps to be followed in the TI-84 graphical calculator are:

Press STAT and scroll right to TESTS

Scroll down to Z-Test and scroll right to Stats

Enter the values as:

Press Calculate and the output is:

Therefore, the test statistic is:

Since the p-value is less than the significance level, we, therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the population mean of such ratings is less than 7.00