3. The following random sample of weekly student expenses in dollars is obtained
ID: 3331242 • Letter: 3
Question
3. The following random sample of weekly student expenses in dollars is obtained from a normally distributed population of undergraduate students with unknown parameters.
68
56
76
75
62
81
72
69
91
84
49
75
69
59
70
53
65
78
71
87
71
74
69
65
64
a) Conduct the appropriate statistical test in SPSS to verify the claim that the average weekly student expenses is different than 74 dollars using an alpha level of 5%. Insert a copy of the table of the statistical test you ran.
b) What can you conclude about the claim? Make sure to support your conclusion by referencing the appropriate statistics from the test.
68
56
76
75
62
81
72
69
91
84
49
75
69
59
70
53
65
78
71
87
71
74
69
65
64
Explanation / Answer
we can provide a solution through open source statisitcal tools such as R
the snippet is as follows
data <- c(68,
56,
76,
75,
62,
81,
72,
69,
91,
84,
49,
75,
69,
59,
70,
53,
65,
78,
71,
87,
71,
74,
69,
65,
64)
### perform the 1tail test
t.test(data,mu=74,alternative = "two.sided")
The results are
t.test(data,mu=74,alternative = "two.sided")
One Sample t-test
data: data
t = -1.9309, df = 24, p-value = 0.06539 ## as the p value is not less than 0.05 , hence we fail to reject the null hypothesis and conclude that mean of the data is not different from 74 dollars
alternative hypothesis: true mean is not equal to 74
95 percent confidence interval:
65.97278 74.26722
sample estimates:
mean of x 70.12
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