Instructions: Choose the number of the correct statistical procedure (test) for
ID: 3155893 • Letter: I
Question
Instructions: Choose the number of the correct statistical procedure (test) for the problem listed below. Use the information to set up the appropriate null hypothesis and give the type of the response variable. Choices of tests include:
1-sample z-test about a proportion (1)
1-sample t-test about a mean (2)
2-sample z-test about two proportions (3)
2-sample t-test about two independent means (4)
paired t-test about average difference of two means (5)
Nonparametric test about medians (6)
t-test about a slope of a regression line (7)
Chi-square test (8)
A shoe manufacturer asked one of his researchers to find out how to guess what the length of a person’s left foot would be using his/her height. The researcher came up with the following data on 12 people:
Length of Left foot 17.5 24.0 29.0 25.5 20.0 22.5 32.0 28.0 24.5 26.5 27.0 25.0
Height of Person 63 63 72 63 65 61 77 76 64 64 65 62
What statistical test should be used to see how the two variables are related?
Explanation / Answer
As the problem is how to "find out how to guess what the length of a person’s left foot would be using his/her height", then to predict values, we should use regression, so
OPTION 7: t-test about a slope of a regression line (7) [ANSWER]
Here,
Ho: Beta1 = 0 [ANSWER]
where Beta1 = the true slope of the regression.
The response variable here is a slope.