A study is conducted to evaluate the effectiveness of a weight loss program. A group of 20 participants undergoes the program, and their weights are recorded before and after completing the program. The table below shows the weights (in kilograms) of a sample of five participants:

Participant	Before (kg)	After (kg)
1	80	75
2	65	62
3	72	70
4	68	67
5	90	85

What is the number of pairs of data in this study?

Question 1Answer

a.

5

b.10

c.15

d.

20

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A researcher wants to investigate whether there is a relationship between educational attainment and job satisfaction. The researcher collects data from a sample of individuals from different educational backgrounds and asks them to rate their job satisfaction on a scale of 1 to 10. The researcher plans to analyze the data to determine if educational attainment is associated with job satisfaction. Based on this scenario, which statistical test would be appropriate to examine the relationship between educational attainment and job satisfaction?

Question 2Answer

a.Chi-square test for independence

b.t-test for independent samples

c.ANOVA

d.Correlation analysis

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When conducting a hypothesis test of a single population mean with an unknown variance and small sample size (n<30), what test will you use?

Question 3Answer

a.z-test

b.t-test

c.p-test

d.f-test

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A survey conducted claims that more than 50% of students prefer studying in the morning. To investigate this claim, a random sample of 200 students is taken, and 110 of them indicate a preference for morning study. Based on this information, can we conclude that more than 50% of students prefer studying in the morning?

Question 4Answer

a.yes, there is evidence to support the claim that more than 50% of students prefer studying in the morning.

b.no, there is not enough evidence to support the claim that more than 50% of students prefer studying in the morning.

c.it is inconclusive based on the given information.

d.it is conclusive based on the given information.

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A scatterplot of X and Y variables is provided below. Describe the relationship between X and Y

Question 5Answer

a.there is a strong positive linear relationship between X and Y.

b.

there is a strong negative linear relationship between X and Y.

c.there is no linear relationship between X and Y.

d.

there is a linear relationship between X and Y.

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A scatterplot of X and Y variables is provided below. Describe the relationship between X and Y

Question 6Answer

a.there is a strong positive linear relationship between X and Y.

b.there is a strong negative linear relationship between X and Y.

c.

there is no linear relationship between X and Y.

d.

there is a linear relationship between X and Y.

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In linear regression, what is the primary goal or objective of finding the "best-fit" line?

Question 7Answer

a.minimizing the sum of squared residuals.

b.maximizing the coefficient of determination (R-squared).

c.minimizing the correlation coefficient.

d.maximizing the slope of the line.

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We are provided below the JASP output of a linear regression with sales as the response variable and adverts (advertisements investment) as the explanatory variable.What is the equation of the regression line based on the output below:

Question 8Answer

a.

y = 134.140 + 0.096x

b.

=134.140 + 0.096x

c.

=193.2 + 0.010x

d.

y = 134.140 + 0.096x

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Which statistical technique is used to make predictions about one variable (Y) based on another variable (X) when there appears to be a linear relationship between them?

Question 9Answer

a.

Hypothesis testing

b.

ANOVA

c.

Linear regression

d.

Chi-squared test

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Given the data below, compute the chi-square (X²)

	Col1	Col2	Total
Row1	100	150	250
Row2	200	50	250
Total	300	200	500

Question 10Answer

a.83.34

b.100.34

c.

93.93

d.102.33

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The summary statistics of a study between two variables (y and x) is provided below. Calculate the intercept (b₀) of the regression line based on this data:

Sy	9.6
Sx	4
R	0.73
	68.4
	141.6

Question 11Answer

a.

y = 121.76 + 10.75x

b.

=21.76 + 1.75x

c.

=11.76 + 5.75x

d.

y = 21.76 + 1.75x

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In a statistical hypothesis test, the p-value represents the probability of obtaining the observed test statistic or a more extreme result, assuming that the null hypothesis is true.

Question 12Answer

a.True

b.False

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We are provided below the JASP output of a linear regression with sales as the response variable and adverts (advertisements investment) as the explanatory variable. What is?

Question 13Answer

a.0.331

b.0.578

c.0.335

d.

0.336

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What is the degree of freedom for a chi-square test of homogeneity for data in a 10-by-five table (R=10 and C=5)?

Question 14Answer

a.9

b.36

c.4

d.26

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A hypothesis test is conducted with an =0.05. What is the probability of type I error?

Question 15Answer

a.0.01

b.0

c.0.05

d.0.04