26. What test statistic for comparison of two means will be used if the sample size is above. A. t-test B. F-test D. ANOVA C. 2-test

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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26. What test statistic for comparison of two means will be used if the sample size is above 30?
A. t-test
B. F-test
D. ANOVA
C. 2-test
27. What test statistic can be used when the population variance is known?
A. t-test
B. F-test
D. test of hypothesis
C. z-test
28. When should you use the z-test?
1. When you are testing for a population mean
II. When the population standard deviation is given
III. When the sample or population standard deviation is given.
IV. When the sample standard deviation is given and samples is greater than or equal to 30.
A. I and II
C. I, II & INV
B. I and IV
D. I and III
For items no. 29-36. Mr. Motas wants to estimate the average grade of all Grade 11 STEM students (3 sections) in Physical Science subject. He
randomly selected 3 students from each section. The list of grades is as follows: 85, 80, 78, 76, 34, 84, 86, 90, 83. He wants to test if the average
grades of the students is greater than the population mean of 85 (Ha: µ> 85) at 5% level of significance.
29. What is the average grade of the Grade 11 STEM students in their Physical Science subject?
A. 81
D. 84
B. 82
C. 83
30. What is the sample size?
A. 9
B. 10
C. 83
D. 84
31. What is the estimate standard
deviation use the whole number for squared difference (use the rounded off value of the sample mean in your
computation)?
A
18.38 B. 16.33
C. 4.29
D. 4.04
32. What is the probability of committing a Type I error?
A.
0.05
B. 0.10
C. 0.025
D. 0.01
33. What test statistic will be used?
B. z-test
C. F-test
D. cannot be determined
A. t-test
34. What will be your computed value using the test statistic in no. 35?
A. 1.399
B.-1.399
C. -1.481
D. 1.481
35. What is the critical value of the test statistic used?
A. 2.306
B. 2.262
C. 1.860
D. 1.960
36. What will be the decision for right tailed test?
A. Since the computed value is greater than the tabular value Mr. Motas rejects the null hypothesis.
B. Since the computed value is less than the tabular or critical value Mr. Motas rejects the null hypothesis.
C. Since the computed value is greater than the critical value, Mr Motas fails to reject the null Hypothesis
D. Since the computed value is less than the critical or tabular value, Mr. Motas fails to reject null hypothesis.
For items 37-39. A recent study says that online students spent 4 hours a day in the computer with a standard deviation of 30min. Mrs. Lazo
randomly selected a sample of 36 online students from a normally distributed population of students with 3.5 hrs. average time spent in computer.
Using a 5% level of significance would you conclude that the statement in the recent study is correct?
37. What is the appropriate test statistic to be used?
A. t-test
B. z-test
C. F-test
D. cannot be determined
38. What is the computed and critical value of the test statistic used?
A. Z com = -1
B. Z.com = 1
D. t com = 1
Z tab= 2.575
Z tab=2.575
t tab=2.438
T tab= 2.438
39. What will be the decision?
A. Reject Ho
B. Fail to Reject Ho
C. Cannot be determined
40. Which of the following set of values DO NOT satisfy the assumptions for the hypothesis test for population proportion?
A. n=100 and p-20% B. n=60 and q = 10%
C. n=25 and p=40%
D. None of the above
For item nos. 41-42. A sample of 100 students were selected at random from the Grade 12 students of CVLIS and 18 said to be working students.
Test the hypothesis that less than 20% of the population are working students using
41. Determine the correct computed and tabular value.
= 0.05.
α
A. Z com = -0.5
B. Z com = 0.5
C. Z com = -0.3
D. t com = 0.3
Z tab=-1.645
Z tab=1.645
Z tab= 1.960
42. What will be the decision?
A. Reject Ho
B. Fail to Reject Ho
C. Cannot be determined
C. t com =-1
Ttab-1.960
Transcribed Image Text:26. What test statistic for comparison of two means will be used if the sample size is above 30? A. t-test B. F-test D. ANOVA C. 2-test 27. What test statistic can be used when the population variance is known? A. t-test B. F-test D. test of hypothesis C. z-test 28. When should you use the z-test? 1. When you are testing for a population mean II. When the population standard deviation is given III. When the sample or population standard deviation is given. IV. When the sample standard deviation is given and samples is greater than or equal to 30. A. I and II C. I, II & INV B. I and IV D. I and III For items no. 29-36. Mr. Motas wants to estimate the average grade of all Grade 11 STEM students (3 sections) in Physical Science subject. He randomly selected 3 students from each section. The list of grades is as follows: 85, 80, 78, 76, 34, 84, 86, 90, 83. He wants to test if the average grades of the students is greater than the population mean of 85 (Ha: µ> 85) at 5% level of significance. 29. What is the average grade of the Grade 11 STEM students in their Physical Science subject? A. 81 D. 84 B. 82 C. 83 30. What is the sample size? A. 9 B. 10 C. 83 D. 84 31. What is the estimate standard deviation use the whole number for squared difference (use the rounded off value of the sample mean in your computation)? A 18.38 B. 16.33 C. 4.29 D. 4.04 32. What is the probability of committing a Type I error? A. 0.05 B. 0.10 C. 0.025 D. 0.01 33. What test statistic will be used? B. z-test C. F-test D. cannot be determined A. t-test 34. What will be your computed value using the test statistic in no. 35? A. 1.399 B.-1.399 C. -1.481 D. 1.481 35. What is the critical value of the test statistic used? A. 2.306 B. 2.262 C. 1.860 D. 1.960 36. What will be the decision for right tailed test? A. Since the computed value is greater than the tabular value Mr. Motas rejects the null hypothesis. B. Since the computed value is less than the tabular or critical value Mr. Motas rejects the null hypothesis. C. Since the computed value is greater than the critical value, Mr Motas fails to reject the null Hypothesis D. Since the computed value is less than the critical or tabular value, Mr. Motas fails to reject null hypothesis. For items 37-39. A recent study says that online students spent 4 hours a day in the computer with a standard deviation of 30min. Mrs. Lazo randomly selected a sample of 36 online students from a normally distributed population of students with 3.5 hrs. average time spent in computer. Using a 5% level of significance would you conclude that the statement in the recent study is correct? 37. What is the appropriate test statistic to be used? A. t-test B. z-test C. F-test D. cannot be determined 38. What is the computed and critical value of the test statistic used? A. Z com = -1 B. Z.com = 1 D. t com = 1 Z tab= 2.575 Z tab=2.575 t tab=2.438 T tab= 2.438 39. What will be the decision? A. Reject Ho B. Fail to Reject Ho C. Cannot be determined 40. Which of the following set of values DO NOT satisfy the assumptions for the hypothesis test for population proportion? A. n=100 and p-20% B. n=60 and q = 10% C. n=25 and p=40% D. None of the above For item nos. 41-42. A sample of 100 students were selected at random from the Grade 12 students of CVLIS and 18 said to be working students. Test the hypothesis that less than 20% of the population are working students using 41. Determine the correct computed and tabular value. = 0.05. α A. Z com = -0.5 B. Z com = 0.5 C. Z com = -0.3 D. t com = 0.3 Z tab=-1.645 Z tab=1.645 Z tab= 1.960 42. What will be the decision? A. Reject Ho B. Fail to Reject Ho C. Cannot be determined C. t com =-1 Ttab-1.960
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