3. A sociologist will conduct a two-sample t-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelor's degrees and people with master's degrees. From a random sample of 32 people with a bachelor’s degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a master's degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population means (master's degree minus bachelor's degree) ? (58,000–55,000) t = 4,000 3,500 28 32 (58,000–55,000) t 4,0002, 3,5002 28 32 (58,000–55,000) t = 4,0002 3,5002 28 32 (58,000–55,000) 4,000+3,500 28+32 (58,000–55,000) E 4,0002 +3,5002 28+32
3. A sociologist will conduct a two-sample t-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelor's degrees and people with master's degrees. From a random sample of 32 people with a bachelor’s degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a master's degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population means (master's degree minus bachelor's degree) ? (58,000–55,000) t = 4,000 3,500 28 32 (58,000–55,000) t 4,0002, 3,5002 28 32 (58,000–55,000) t = 4,0002 3,5002 28 32 (58,000–55,000) 4,000+3,500 28+32 (58,000–55,000) E 4,0002 +3,5002 28+32
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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Transcribed Image Text:3.
A sociologist will conduct a two-sample t-test for a difference in means to investigate whether there is a
significant difference, on average, between the salaries of people with bachelor's degrees and people with
master's degrees. From a random sample of 32 people with a bachelor’s degree, the average salary was
$55,000 with standard deviation $3,500. From a random sample of 28 people with a master's degree, the
average salary was $58,000 with a standard deviation of $4,000.
With a null hypothesis of no difference in the means, which of the following is the test statistic for the
appropriate test to investigate whether there is a difference in population means (master's degree minus
bachelor's degree) ?
(58,000–55,000)
A
3,500
+
28
4,000
32
(58,000–55,000)
B
4,0002
3,5002
28
32
(58,000–55,000)
t =
3,5002
+
28
4,0002
32
(58,000–55,000)
| 4,000+3,500
28+32
(58,000–55,000)
t
E
| 4,0002 +3,5002
28+32
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