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Question1

A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective.

She takes four new students and records their 18-hole scores before learning the new technique and then after

having taken her class. She then conducts a hypothesis test at a significance level of 5%.

The data are as follows.

	Player 1	Player 2	Player 3	Player 4
Mean score before class	83	78	93	87
Mean score after class	80	80	86	86

What is the Null Hypotheses?

a The mean scores before the class and the mean scores after the class are the same.

b The mean scores before the class are greater than the mean scores after the class.

Enter your answer by the appropriate identifying letter.

Use the following 4 (x, y) pairs to find the equation of the least squares regression line.

x	2	3	5	6
y	5	9	10	12

Round the first answer (constant) to 0 decimal places (integer) and the second answer (slope) to 1 decimal place.

Question 3 (30 points)

Based upon material covered in class.

An airline reports that its flights are on time with an average delay of 15 minutes with a variance of 150 based upon a study of 25 recent flights. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights was 22 minutes with a variance of 225. Based upon tha data was the disgruntled traveler correct in believing the variance of the delayed flights was greater than the reported 150 minutes squared. Evaluate the disgruntled traveler claim by performing a hypothesis test with a significant level of .05. Assume the data is normally distributed.

What is the null and alternate hypothesis?

a     Null hypothesis:            The variance reported by the airline is not the same as the variance calculated by the disgruntled traveler.

   Alternate hypothesis:    The variance calculated by the disgruntled traveler is the same as the variance reported by the airline.

b Null hypothesis:            The variance reported by the airline is the same as the variance calculated by the disgruntled traveler.

   Alternate hypothesis:    The variance calculated by the disgruntled traveler is not the same as the variance reported by the airline.

c Null hypothesis:            The variance reported by the airline is the same as the variance calculated by the disgruntled traveler.

   Alternate hypothesis:    The variance calculated by the disgruntled traveler is greater than the variance reported by the airline.

d Null hypothesis:            The variance reported by the airline is the same as the variance calculated by the disgruntled traveler.

   Alternate hypothesis:    The variance calculated by the disgruntled traveler is less than the variance reported by the airline.