STAT 200 Week 7 Homework and Quiz 3 Complete Solution
Lane – Ch. 14
2. The formula for a regression equation is Y’ = 2X + 9.
a. What would be the predicted score for a person scoring 6 on X?
b. If someone’s predicted score was 14, what was this person’s score on X?
6. For the X,Y data below, compute:
a. r and determine if it is signiﬁcantly different from zero.
b. the slope of the regression line and test if it differs signiﬁcantly from zero.
c. the 95% conﬁdence interval for the slope.
X 
Y 
4 
6 
3 
7 
5 
12 
11 
17 
10 
9 
14 
21 
Lane – Ch. 17
5. At a school pep rally, a group of sophomore students organized a free rafﬂe for
prizes. They claim that they put the names of all of the students in the school in
the basket and that they randomly drew 36 names out of this basket. Of the prize
winners, 6 were freshmen, 14 were sophomores, 9 were juniors, and 7 were
seniors. The results do not seem that random to you. You think it is a little ﬁshy
that sophomores organized the rafﬂe and also won the most prizes. Your school is
composed of 30% freshmen, 25% sophomores, 25% juniors, and 20% seniors.
a. What are the expected frequencies of winners from each class?
b. Conduct a signiﬁcance test to determine whether the winners of the prizes
were distributed throughout the classes as would be expected based on the
percentage of students in each group. Report your Chi Square and p values.
c. What do you conclude?
14. A geologist collects handspecimen sized pieces of limestone from a particular
area. A qualitative assessment of both texture and color is made with the
following results. Is there evidence of association between color and texture for
these limestones? Explain your answer.

COLOR 
COLOR 
COLOR 
Texture 
Light 
Medium 
Dark 
Fine 
4 
20 
8 
Medium 
5 
23 
12 
Coarse 
21 
23 
4 
Illowsky – Ch. 11
True or False
70. The standard deviation of the chisquare distribution is twice the mean.
102. Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place is shown in Table 11.55. 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 
Use the following information to answer the next twelve exercises: Suppose an airline claims that its flights are consistently on 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 next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.
113. df= _______
117. Let a = 0.05
Decision: _______
Conclusion (write out in a complete sentence): _________
The Regression Equation
66. Can a coefficient of determination be negative? Why or why not?
82. The cost of a leading liquid laundry detergent in different
sizes is given in Table 12.31.
Size (ounces) 
Cost ($) 
Cost per ounce 
16 
3.99 

32 
4.99 

64 
5.99 

100 
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 leastsquares line. Put the equation in the form of:ŷ=a+bx
d. Find the correlation coefficient. Is it significant?
e. If the laundry detergent were sold in a 40ounce size, find the estimated cost.
f. If the laundry detergent were sold in a 90ounce 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 leastsquares line valid for predicting what a 300ounce size of the laundry detergent would you cost? Why or why not?
j. What is the slope of the leastsquares (bestfit) line? Interpret the slope
Quiz 3
An assumption made about the value of a population parameter is called a
A. conclusion
B. confidence
C. significance
D. hypothesis
E. none of the above
02: The pvalue is a probability that measures the support or lack of support for the
A. null hypothesis
B. alternative hypothesis
C. either the null or the alternative hypothesis
D. sample statistic
E. none of the above
03: In a ttest, which of the following does not need to be known in order to compute the pvalue?
A. knowing whether the test is onetail or twotails
B. the value of the test statistic
C. the level of significance
D. the Degrees of Freedom
E. none of the above
04: As the test statistic becomes larger, the pvalue
A. becomes smaller
B. becomes larger
C. becomes negative
D. stays the same because the sample size has not been changed
E. none of the above
05: What type of error occurs if you fail to reject H0 when, in fact, it is not true?
A. Type I
B. Type II
C. Either Type I or Type II, depending on the level of significance.
D. Either Type I or Type II, depending on whether the test is one tailed or two tailed.
E. None of the above.
06: The level of significance α is the
A. same as the pvalue
B. 1  β
C. maximum allowable probability of Type II error
D. maximum allowable probability of Type I error
E. none of the above
07: In hypotheses testing if the null hypothesis has been rejected when the alternative hypothesis is true, then
A. a Type I error has been committed
B. a Type II error has been committed
C. either a Type I or Type II error has been committed
D. the correct decision has been made
E. none of the above
08: In a onetail, lefttail ztest, the test statistic is z = 2.01. The pvalue is
A. 0.0179
B. 0.0228
C. 0.0222
D. 0.0174
E. none of the above
09: In a twotail ztest, the test statistic is z = 2.5. The pvalue for this test is
A. 1.25
B. 0.4938
C. 0.0062
D. 0.0124
E. none of the above
10: In a twotail ttest, the test statistic t = 2.89 and the sample size is 30. The pvalue is
A. 0.9928
B. 0.0019
C. 0.0038
D. 0.0036
E. 0.0072
11. In onetail, lefttail ttest, the test statistic t = 1.58 and the sample size is 23. The pvalue is
A. 0.0571
B. 0.9358
C. 0.0642
D. 0.1284
E. 0.0639
12: The average life expectancy of a certain brand of tire has been 40,000 miles. Because of a new manufacturing process introduced it is believed that the life expectancy has increased. To test the validity of this the correct set of hypotheses is
A. H0: µ < 40,000 HA: µ ≥ 40,000
B. H0: µ = 40,000 HA: µ ≥ 40,000
C. H0: µ > 40,000 HA: µ ≤ 40,000
D. H0: µ = 40,000 HA: µ < 40,000
E. H0: µ = 40,000 HA: µ > 40,000
13: What kind of Alternative Hypothesis is used in the figure below?
A. HA: µ = µ0
B. HA: µ ≠ µ0
C. HA: µ > µ0
D. HA: µ < µ0
E. none of the above
14. Which type of Alternative Hypothesis is used in the figure below?
A. HA: µ = µ0
B. HA: µ ≠ µ0
C. HA: µ > µ0
D. HA: µ < µ0
E. none of the above
15: A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. If the machine overfills or under fills then it must be shut down and readjusted. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is
A. H0: µ < 12 HA: µ ≥ 12
B. H0: µ = 12 HA: µ > 12
C. H0: µ ≠ 12 HA: µ = 12
D. H0: µ = 12 HA: µ ≠ 12
E. H0: µ = 12 HA: µ < 12
Use the following information to do the next four problems.
A random sample of 100 people was taken. In the sample 85% favored Candidate Green. We are interested in determining whether or not the proportion of the population in favor of Green is significantly more than 80%.
16: The correct set of hypotheses for this problem is
A. H0: p = 0.85 and HA: p > 0.85
B. H0: p > 0.80 and HA: p = 0.80
C. H0: p = 0.80 and HA: p > 0.80
D. H0: p = 0.80 and HA: p ≥ 0.80
E. H0: p ≠ 0.80 and HA: p > 0.80
17: Find the test statistic.
A. 0.80
B. 0.05
C. 1.25
D. 2.00
E. none of the above
18: Find the pvalue.
A. 0.1071
B. 0.8929
C. 0.8944
D. 0.1056
E. none of the above
19: At the 5% level of significance, can we conclude that the proportion of the population in favor of Green
A. is significantly greater than 80%
B. is not significantly greater than 80%
C. is significantly greater than 85%
D. is not significantly greater than 85%
E. none of the above
Use the following information to do the next four problems.
The sales of a grocery store had an average of $8,000 per day. The store started an aggressive advertizing campaign in order to increase sales. To determine whether or not the advertizing campaign has been effective, i.e. the sales increased, a sample of 66 days was selected. For this sample the mean was $8,300 per day and the standard deviation $1,200.
20: The correct Alternative Hypothesis for this problem is
A. HA: x‾ > 8,000
B. HA: x‾ ≥ 8,000
C. HA: µ > 8,300
D. HA: µ ≥ 8,000
E. HA: none of the above
21: The value of the test statistic is
A. 2.03
B. 2.03
C. 2.00
D. 2.00
E. none of the above
22: The pvalue is
A. 0.0248
B. 0.0228
C. 0.9752
D. 0.9768
E. 0.0232
23: At the 5% level of significance, can we conclude that the advertizing campaign
A. increased sales?
B. decreased sales?
C. did not much affect sales?
D. was not worth the cost?
E. none of the above
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