You believe that is an over-estimate. You draw a sample of 61 tires and find the mean to be 29,995 miles with a standard deviation of 16.
Math 102 Name
Choose the best response to each question and write your answer on the Blank answer sheet.
1-9 Twin Wheels Tires CO. claims it’s tires last
30,000 miles. You believe that is an over-estimate. You draw a sample of 61 tires and find the mean to be 29,995 miles with a standard deviation of 16.
(Use a significance level of .05)
1 What would be the Null Hypothesis?
A μ = 29,995
B μ < 30,000
C μ = 64
D μ > 29,995
E μ = 30,000
2 What is the Alternate Hypothesis?
A μ = 29,995
B x < 30,000
C μ > 30,000
D μ < 30,000
E U = 30,000
3 What is the variance of the sample?
A 30,000
B 29,995
C 256
D 4096
E 16
4 What is the sample mean outcome?
A 30000
B 29,995
C 64
D 16
E 2
5 What is the Distribution of Sample Means (DSM)
Standard deviation?
A 2 .05
B 16
C 61
D 3750
E 7250
6 What is the degrees of freedom?
A 15
B 16
C 60
D 61
E 62
7 What is the value of the critical cut off score?
A + 1.75
B -1.67
C +2.00
D -2.43
E -2.66
8 What is the values of the computed test statistic?
A 0.0325
B 1.25
C – .63
D – 1.67
E – 2.44
9 What is the final decision?
A Do Not Reject Ho
B Do Not Reject Ha
C Reject Ho
D Reject Ha
E Neither reject or Do not reject, since it is a tie.
10 If a False Ho is found not to be rejected then what type of error might have been made?
A Type 1 error
B Type II error
C Type III error
D False error
E True error
11 As the significance level decreases the chances of reject Ho increases
A True
B False
C Stays the same
D No relationship between the two statistics
12 The expected result of a hypothesis test are calculated under the assumption that the
Null Hypothesis is which of the following:
A True
B False
C Depends on alpha level given
13 We have all the weather conditions for all the days from January 1, 1900 to December 1999. Assume all prediction models are based on the ideas of the Regression model which we studied this semester.
Which is the only year from the selection below, should we choose to make a prediction of weather that will result in the most reliable and valid
prediction?
A 2000
B 2010
C 2020
D 2030
14-
16 A recent study claimed the average cholesterol level for all eighth grade students to be 190 with
? =30 The school nurse feels that this number is too low. Choosing a random sample of 80 students, she finds their average cholesterol to be
197. Respond to the questions below.
14 What would be the Null Hypothesis?
A μ = 80
B μ > 80
C μ = 197
D μ =190
E μ = 30
15 What is the Alternate Hypothesis ?
A μ = 80
B μ > 197
C μ = 197
D μ =190
E μ > 190
16 What is the value of DSM standard deviation?
A 5.48
B 2.18
C 2.14
D 3.35
17 The weights of gadgets components are normally distributed with a mean of 8.08 g and a standard deviation of 0.1 g. Find the TWO weights, one to separate the top 3% and the other to separate the
bottom 3% .
A 8.03 and 8.13
B 7.89 and 8.27
C 7.86 and 8.35
D 8.06 and 8.10
18 The statistic, s, is a good estimate for:
A u
B ?
C ????
D β
19 How is the dispersion of a Normal distribution compare to the dispersion of a T – distribution,
A Normal Distribution is more dispersed than the T distribution
B Normal Distribution is less dispersed than the
T distribution
C Normal Distribution is dispersed in the same way as
the T distribution
20-22 A Democrat develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and the standard deviation is 21.4
20 Using the given information above, construct a 95% confidence Interval for the mean
score of the population of all such subjects.
A 74.6 < u < 77.8
B 69.2 < u < 83.2
C 64;2 < u < 88.2
D 67.7 < u < 84.7
21 How should the sample size change to increase the precision of a confidence interval with a fixed
confidence level?
A Sample size should increase
B Sample size should decrease
C Sample size should stay the same
D There is no relationship between the sample size and precision.
22 If we found Confidence Interval of 45.22 to 75.3 then what would be the Margin of Error?
A 60.25
B 15,03
C 30.08
D 15.04
23 A normal distribution has a mean u = 15.2 and a
standard deviation of ? = 0.9. Find the probability that a score is greater than 16.1
A 0.8413
B 0.1587
C 0.1357
D 0.1550
24 A normal distribution has a mean u = 67.3 and a standard deviation of ? = 9.3 Find P81, which separates the bottom 81%
from the top 19% .
A 0.29
B 0.88
C 70.0
D 75.5
25 Assume the women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.
Find the value of the quartile Q3
A 66.1
B 67.8
C 65.3
D 64.3
26
-35 In 1996, the average monthly credit card balance for a population of VISA cardholders was $791, with a standard deviation of $279.
It was believed that the average balance was expected to be higher in 1997. To prove that belief, a sample of 423 accounts in this population had an average balance of $831.
Does this support the hypothesis that the average balance increased? (Use α = 5%)
26 What is the Null Ho, Hypothesis?
A μ = 791
B μ > 831
C μ = 1996
D μ > 791
E μ = 831
27 What is the Alternate Hypothesis?
A μ = 831
B x < 791
C μ > 831
D μ > 791
E U = 791
28 What type of standard deviation is given in this problem?
A DSM standard deviation
B Sample standard deviation
C Population standard deviation
D Not enough information to determine
29 What is the value of the given standard deviation?
A 279
B 791
C 831
D 1997
30 What is the sample mean outcome?
A 423
B 831
C 791
D 1997
E 279
31 What is the DSM Standard deviation?
A 13.57
B 9.68
C 97.1
D 40.41
E 279
32 To determine the critical cutoff score what part of the textbook table should we use?
A Normal Distribution with z scores for one tail test
B Normal Distribution with z scores for two tail test
C T Distribution with t scores for one tail test
D T Distribution with t scores for two tail test
33 What is the value of the critical cut off z score? (Use α = 5%)
A -1.65
B 1.65
C -2.33
D 2.33
E 1.96
34 What is the z values of the test statistic?
A .99
B -2.95
C 4.13
D 2.95
E .41
35 Formally, `What is the final decision?
A Do Not Reject Ho
B Do Not Reject Ha
C Reject Ho
D Reject Ha
E Neither reject nor Do not reject, since it is a tie.
36-
40 A sociology professor is interested in estimating the mean work hours that a student at his colleg works at a paying job. The Professor randomly selects 300 day
students and calculates that the mean number of hours/week spent at a job is 18.5 hrs with s = 4.
36 What is the population being studied?
A High school students
B College students everywhere
C College students attending the University where the Professor teaches
D All young people between the ages of 16 and 22.
37 What is the population parameter being discussed above?
A Amount of money college students make during a week.
B The number of hours her is college students spend during the week at a paying job
C The number of hours her college students have after working during the week.
D What is the best paying job for college students.
38 What is the value of the best point estimate of the population parameter that the Professor is studying?
A 18.5 hrs/week
B $185/week
C Between 18.5 hrs/ week and 26.5 hrs / week
D 4 hrs / week
39 Using t scores what is the margin of error of a 95% Confidence interval.
A 0.33 hrs /wk
B 0.45 hrs/wk
C 0.52 hrs/wk
D 0.95 hrs/ wk
40 Form a 95% confidence interval for this parameter.
A 18.17 to 18.83
B 18.11 to 18.89
C 18.05 to 18.95
D 16.14 to 20.76
Perception Study Results Table
Male Pop1 Female Pop2
Sample Size 26 22
Sample Mean 32.3 26.5
Sample St. Dev. 28.7 22.8
41 What is the Null Hypothesis?
A u1 – u2 = 0
B u1 – u2 =/= 0
C u1 – u2 > 0
D u1 – u2 < 0
42 What is Ha ?
A u1 – u2 = 0
B u1 – u2 =/= 0
C u1 – u2 > 0
D u1 – u2 < 0
43 Given the assumptions about the populations normality and their population standard deviations being unknown and unequal which hypothesis test procedure
would be best to use?
A Normal Distribution with z scores
B The standard t distribution with t scores.
C The pooled t –test
D The Welch’s t test.
44 For the statistic hypothesis testing procedure chosen in the previous question, how many degree of freedom
should we use?
A 46
B 26
C 22
D 25
E 21
45 What is the value of mean of the sampling distribution of the differences between two means
A u1 – u2 = 0
B
X 1 – X2 = 0
C : u1 – u2 = 5.8
D X 1 – X2 = 5.8
46 Using the statistical hypothesis testing procedure chosen in an earlier question, find the value of the estimate of the standard error of the differences between two means.
A 5.91
B 26.17
C 7.44
D 22.8
47 Is this a one tail test or a two tail test and where is the Rejection region(s) on the graph of the distribution?
A Two tail – both sides
B One tail = right side
C One tail left side
D One tail in the Middle
48 What is/(are) the critical t score(s) to divide the Rejection region(s) from the Non Rejection Region?
A 1.72
B 2.08
C 2.83
D 2.52
49 Calculate the computed t score for the difference
between the two sample means.
A 0
B 0.49
C 0.78
D 3.6
50 What is the final Conclusion for this hypothesis test?
A Reject H0
B Do Not reject H0
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