QUESTION4 ts points save Ammer A researcher at Central Hartford University is testing out a new super long-lasting chewing gum. He knows that, on average, the population chews a piece of regular gum for a mean of p =16.2 minutes before spitting it out, but the standard deviation of the population is unknown. A sample of n=24 students is given the new long-lasting gum. Students in this sample chewed for mean of 20.0 minutes with standard deviation s= 3.1 minutes. Use an a =.05 to test whether the new gum is chewed longer than regular gum.

Answer the following:

a. State the null and alternative hypotheses

b. What is the value of the test statistic? Show your work. c. The p value is less than 0.001.

Draw your conclusions. Can you reject the null hypothesis? Does this long-lasting chewing gum actually work?

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