Reference no: EM131668732

Question 1. Conduct a goodness-of-fit test to determine if the actual college majors of graduating males fit the distribution of their
expected majors.

Major	Men - Expected Major	Men - Actual Major
Arts & Humanities	11.0%	600
Biological Sciences	6.7%	330
Business	22.7%	1130
Education	5.8%	305
Engineering	15.6%	800
Physical Sciences	3.6%	175
Professional	9.3%	460
Social Sciences	7.6%	370
Technical	1.8%	90
Other	8.2%	400
Undecided	6.6%	340

Table 1

Question 2. Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at apopular breakfast place is shown in Table 2. Conduct a test for homogeneity at a 5% level of significance.

	French Toast	Pancakes	Waffles	Omelettes
Men	47	35	28	53
Women	65	59	55	60

Table 2

Question 3. Test of a Single Variance

Suppose an airline claims that its flights are consistentlyon time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 150 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.

a Is the traveler disputing the claim about the average or about the variance?

b. Is this a right-tailed, left-tailed, or two-tailed test?

c. df= ________

d. p-value = ________

f. Let α = 0.05
Decision: ________

Conclusion (write out in a complete sentence.): ________

Question 4.

The cost of a leading liquid laundry detergent in differentsizes is given in Table 3.

Size (ounces)	Cost ($)	Cost per ounce
16	3.99
32	4.99
64	5.99
200	10.99

a. Using "size" as the independent variable and "cost" as the dependent variable, draw a scatter plot.

b. Does it appear from inspection that there is a relationship between the variables? Why or why not?

c. Calculate the least-squares line. Put the equation in the form of: y = a + bx

d. Find the correlation coefficient. Is it significant?

e. If the laundry detergent were sold in a 40-ounce size, find the estimated cost.

f. If the laundry detergent were sold in a 90-ounce size, find the estimated cost.

g. Does it appear that a line is the best way to fit the data? Why or why not?

h. Are there any outliers in the given data?

i. Is the least-squares line valid for predicting what a 300-ounce size of the laundry detergent would you cost? Whyor why not?

j. What is the slope of the least-squares (best-fit) line? Interpret the slope.