The owner of a restaurant wants to study the dining characte

The owner of a restaurant wants to study the dining characteristics of her customers. She decides to focus on the two variables: the amount of money spent by customers, and whether customers order dessert. The result of a sample survey of 100 customers are as follows: sample average amount spent per customer is $26.00, with a sample deviation of $4.00. 75 customers in the sample ordered dessert. A restaurant review article appears in the local newspaper and states that the mean coast of the meal at this restaurant is $25.00 and that 80% of the customers order dessert.

Question 1. Does the survey \"prove\" the newspaper wrong about the cost $25.00 at a !% level of significannce. why. Write null , alternative hypothesis, the test, and conclusion.

Question 2. If the true mean cost of the meal is $27, What is the probability of rejecting the reported mean ($25). (power of the test) Is the power higher if the true mean is $28.

Question 3. Does the survey \"prove\" the nespaper wrong about the 80% proportion at a 1% level of significance. why. (write null and alternative, the test, the conclusion)

Solution