A random sample of entree prices was taken from restaurants in Livermore and Dublin. In Livermore, the
Question:
A random sample of entree prices was taken from restaurants in Livermore and Dublin. In Livermore, the mean of 16 entrees was $12.86 and the standard deviation was $3.25. In Dublin, the mean of 13 entrees was $10.87 and the standard deviation was $4.62. Find a 95% confidence interval of the difference in the mean price of an entree in Livermore and the mean price of an entree in Dublin. Assume that the populations are normally distributed, but do not assume that the population variances are equal.
a. Find the point estimate of the difference in the population means of entree prices in Livermore and Dublin.
b. Find the margin of error for a 95% confidence interval.
c. Find the 95% confidence interval.
d. Does the mean entree price appear to be higher in Livermore?
For hypothesis tests, you are to use the five-step process: state the hypotheses, find the test statistic, find either the critical value or p-value, make the decision about the null hypothesis, and write a conclusion regarding the claim.
Elementary Statistics A Step By Step Approach
ISBN: 978-1259755330
10th edition
Authors: Allan G. Bluman