Question

Taking the family to an amusement park has become increasingly costly according to the industry publication Amusement Business, which provides figures on the cost for a family of four to spend the day at one of Americas amusement parks. A random sample of 25 families of four that attended amusement parks yielded the following costs, rounded to the nearest dollar. 156 212 218 189 172 221 175 208 152 184 209 195 207 179 181 202 166 213 221 237 130 217 161 208 220 a. Obtain and interpret a 95% confidence interval for the mean cost of a family of four to spend the day at an American aniusement park. Hint: Σί-Fr $4833; Σ.. r-951469. (5 Marks) b. At the 5% significance level do the the data provide sufficient evidence that the true mean cost for a family of four to spend the day at an American amusement park is different from $200? 6 Marks) c. How can we use the confidence interval found in part a. to answer the question posed in part b.? (2 Marks)
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