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A researcher at Central Hartford University is testing out a new super long-lasting chewing gum. He...

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 gum for a mean of µ = 18.8 minutes before spitting it out, but the standard deviation of the population is unknown. A sample of n=9 students is given the new long-lasting gum. Students in this sample chewed for mean of 21.0 minutes with standard deviation s = 2.4 minutes. Use a two-tailed test with α = .05.

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

Math   Statistics-And-Probability   
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