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26 . In a survey of 80 males, 45 had played an organized sport growing up. Of the 70 females surveyed, 25 had played an organized sport growing up. We are interested in whether the proportion for males is higher than the proportion for females. The correct conclusion is that:

  1. there is insufficient information to conclude that the proportion for males is the same as the proportion for females.
  2. there is insufficient information to conclude that the proportion for males is not the same as the proportion for females.
  3. there is sufficient evidence to conclude that the proportion for males is higher than the proportion for females.
  4. not enough information to make a conclusion.

27 . From past experience, a statistics teacher has found that the average score on a midterm is 81 with a standard deviation of 5.2. This term, a class of 49 students had a standard deviation of 5 on the midterm. Do the data indicate that we should reject the teacher’s claim that the standard deviation is 5.2? Use α = 0.05.

  1. Yes
  2. No
  3. Not enough information given to solve the problem

28 . Three loading machines are being compared. Ten samples were taken for each machine. Machine I took an average of 31 minutes to load packages with a standard deviation of two minutes. Machine II took an average of 28 minutes to load packages with a standard deviation of 1.5 minutes. Machine III took an average of 29 minutes to load packages with a standard deviation of one minute. Find the p -value when testing that the average loading times are the same.

  1. p -value is close to zero
  2. p -value is close to one
  3. not enough information given to solve the problem


Use the following information to answer the next three exercises: A corporation has offices in different parts of the country. It has gathered the following information concerning the number of bathrooms and the number of employees at seven sites:

Number of employees x 650 730 810 900 102 107 1150
Number of bathrooms y 40 50 54 61 82 110 121

29 . Is the correlation between the number of employees and the number of bathrooms significant?

  1. Yes
  2. No
  3. Not enough information to answer question

30 . The linear regression equation is:

  1. ŷ = 0.0094 − 79.96 x
  2. ŷ = 79.96 + 0.0094 x
  3. ŷ = 79.96 − 0.0094 x
  4. ŷ = − 0.0094 + 79.96 x

31 . If a site has 1,150 employees, approximately how many bathrooms should it have?

  1. 69
  2. 91
  3. 91,954
  4. We should not be estimating here.

32 . Suppose that a sample of size ten was collected, with x ¯ = 4.4 and s = 1.4. H 0 : σ 2 = 1.6 vs. H a : σ 2 ≠ 1.6. Which graph best describes the results of the test?

There are 4 curves that display the P-value for a Test of a Single Variance. Graph (a) shows two tails shaded for chi-square = 6.89. Graph (b) shows two tails shaded for chi-square = 1.96. Graph (c) shows two tails shaded for chi-square = 11.03. Graph (d) shows two tails shaded for chi-square = 2.23.

Sixty-four backpackers were asked the number of days since their latest backpacking trip. The number of days is given in [link] :

# of days 1 2 3 4 5 6 7 8
Frequency 5 9 6 12 7 10 5 10

33 . Conduct an appropriate test to determine if the distribution is uniform.

  1. The p -value is>0.10. There is insufficient information to conclude that the distribution is not uniform.
  2. The p -value is<0.01. There is sufficient information to conclude the distribution is not uniform.
  3. The p -value is between 0.01 and 0.10, but without alpha ( α ) there is not enough information
  4. There is no such test that can be conducted.

34 . Which of the following statements is true when using one-way ANOVA?

  1. The populations from which the samples are selected have different distributions.
  2. The sample sizes are large.
  3. The test is to determine if the different groups have the same means.
  4. There is a correlation between the factors of the experiment.

Practice final exam 2 solutions

Solutions

1 . b. parameter.

2 . a.

3 . c. seven

4 . c. 0.02

5 . c. none of the above

6 . d. 100 140

7 . a. ≈ 0

8 . b. The values for x are: {1, 2, 3,..., 14}

9 . c. 0.9417.

10 . d. binomial

11 . d. 8.7

12 . a. –1.96

13 . a. 0.6321

14 . d. 360

15 . b. N ( 72 , 72 50 )

16 . a. 3 9

17 . d.

18 . b. 5.5

19 . d. 6.92

20 . a. 5

21 . b. 0.8541

22 . b. 0.2

23 . a. –1.

24 . c. matched pairs, dependent groups.

25 . d. Reject H 0 . There is sufficient evidence to conclude that there is a difference in the mean scores.

26 . c. there is sufficient evidence to conclude that the proportion for males is higher than the proportion for females.

27 . b. no

28 . b. p -value is close to 1.

29 . b. No

30 . c. y ^ = 79.96 x – 0.0094

31 . d. We should not be estimating here.

32 . a.

33 . a. The p -value is>0.10. There is insufficient information to conclude that the distribution is not uniform.

34 . c. The test is to determine if the different groups have the same means.

Questions & Answers

limitations of simple random sampling
pratyaksh Reply
how can l calculate G. M from the following size 125 133 141 173 182 frequency 7 5 4 1 3
Stancy Reply
how they find mean population
Joy Reply
parts of statistics
Edwin Reply
what is a mean?
Onele Reply
given the sequence 128,64,32 find the 12th term of the sequence
Shehu Reply
12th number is 0.0625
Thangarajan
why do we use summation notation to represent set of observations
MICHAEL Reply
what is the potential outlier ?
Anik Reply
A pharmaceutical company claims that their pain reliever capsule is 70% effective. But a clinical test on this capsule showed 65 out of 100 effectiveness
jelly Reply
Part of statistics
charls Reply
how to find mean population
Dawit Reply
what is data value
Ravneet Reply
what is relative frequency
Adeyemi Reply
liner regression analysis
Swathy Reply
Proper definition of outlier?
Sumbal Reply

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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