Question

A research study was conducted to examine the difference between older and younger adults on perceived life satisfaction. Twenty older adults (over the age of 70) and fifteen younger adults (between 20 and 30 years of age) were given a life satisfaction test known to have high reliability and validity. Scores on the measure range from 0 to 60, with high scores indicative of high life satisfaction and low scores indicative of low life satisfaction. A hypothesis test was conducted to determine if there is sufficient evidence to suggest that older adults have a higher average life satisfaction than younger adults. 1. What are the degrees of freedom of the distribution of the test statistic? 2. What is the critical value of the test, at a 1% level of significance? 3. Calculate the test statistic. 4. Use the t-distribution table to determine the highest level of significance (in decimal form) at which the null hypothesis will not be rejected. [Round your answer to 4 decimal places] The data is as follows: Older Adults Younger Adults 52 20 26 35 35 28 29 33 39 40 45 34 38 22 52 35 22 26 25 37 39 42 51 24 46 28 55 26 46 35 57 47 44 51 28

          A research study was conducted to examine the difference between
older and younger adults on perceived life satisfaction. Twenty
older adults (over the age of 70) and fifteen younger adults
(between 20 and 30 years of age) were given a life satisfaction
test known to have high reliability and validity. Scores on the
measure range from 0 to 60, with high scores indicative of high
life satisfaction and low scores indicative of low life
satisfaction. A hypothesis test was conducted to determine if there
is sufficient evidence to suggest that older adults have a higher
average life satisfaction than younger adults.
1. What are the degrees of freedom of the distribution of the
test statistic?
2. What is the critical value of the test, at a 1% level of
significance?
3. Calculate the test statistic.
4. Use the t-distribution table to determine the highest level
of significance (in decimal form) at which the null hypothesis will
not be rejected. [Round your answer to 4 decimal places]
The data is as follows:
Older Adults
Younger Adults
52
20
26
35
35
28
29
33
39
40
45
34
38
22
52
35
22
26
25
37
39
42
51
24
46
28
55
26
46
35
57
47
44
51
28

Added by David P.

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