Question

2. A study compared tooth health in a group of 46 young adult males with a tongue piercing and a control group of 46 young adult males without tongue piercing. The study wanted to determine if the mean number of enamel cracks for those with a tongue piercing was greater than the mean number for those without.

a. Which type of test is appropriate, a two sample t-test or a matched pairs t-test. Briefly explain why.

b. State the null and alternative hypotheses. STAT 101

c. The test resulted in a P-value of 0.0013. At a 5% significance level, what conclusion should me made?

3. A study of whether or not customers respond to odors took place in a small pizza restaurant in France on two Saturday evenings in May. On one of these evenings, a relaxing lavender odor was spread through the restaurant. On the other evening, no scent was used. The restaurant owners computed the mean amount spent on each night and computed a 95% confidence interval for the difference of means (lavender minus no odor) in Euros to be (2.40, 4.82). Can the researchers conclude there is a difference between the two means?

Answer 1

. 46 young without longue The appropriate test statistic is a two sample t-test". Reasons The Reason: The two samples of males with tongue piercing and control group of 46 young adult males piercing are independent. b) Let Mew = population mean of enamel cracks for those with a tongue piercing, Me = population mean number of enamel cracks for those with a control group. number Hall hypotheses, Hoi Mwame Alternative hypothers, H,: Ma x Me o The tist resulted in P-value of 0.0013. The povalne is less than 0.0 significance level. Hence, we reject the null hypothesis and is sufficient evidence to support the mean number of enamel cracks for those torque piercing was greater than the for without those without conclude that there with a mean number The means agl. confidence interval for the difference of a in Euros is (2, 40, 4.82). This internal does not include the value seso. Henis, we con conduda that support the conclusion that there is a difference between the two miams,