Question

The following question is based on scenario 2: Researchers are interested in seeing how sitting for long periods of time can influence cardiovascular health. They ask people how many hours per day they sit, and then they measure their blood pressure to see if they are associated. They expect that as hours spent sitting increases, blood pressure will also increase.

A. What is the best statistical test to use to analyze the hypothesis in scenario 2?

Structural Equation Model

z-test

Independent sample t-Test

Correlation Coefficient

Dependent sample t-Test

Factor Analysis

z-score

One-way ANOVA

B. Which of the following is the null hypothesis for scenario 2?

Ho: µ₁ = µ₂ = µ₃

H₀: X = µ

rxy = 0

Scenario 3. A 5^th grade school teacher believes that she has an exceptionally gifted group of students in her class this year. She learns that the national average score on the 5^th grade annual test is 150, with a standard deviation of 30. She wants to compare her student’s scores to the national average.

A. What is the null hypothesis for scenario 3?

HO: µ1 = µ2

HO: µ1 = µ2 =µ3

r = 0

H0: X = µ

B. What is the alternative hypothesis for scenario 3?

H1: m1 < m2

r ≠ 0

H1: X1 ≠ X2 ≠ X3

H1: X ≠ µ

C. What is the appropriate test statistic to use for scenario 3?

correlation coefficient

regression

z-test

dependent samples t-test

One-way ANOVA

independent samples t-test

Answer 1

Scenario 2:-

Researchers are interested in seeing how sitting for long periods of time can influence cardiovascular health. They ask people how many hours per day they sit, and then they measure their blood pressure to see if they are associated. They expect that as hours spent sitting increases, blood pressure will also increase.

So here we want to find that hours spent sitting increases, blood pressure will also increase.

As one increases other also increases i.e. the positive correlation between two variable.

So we use correlation.

Correlation Coefficient

the null hypothesis for scenario 2:_rxy = 0

Scenario 3.

A 5^th grade school teacher believes that she has an exceptionally gifted group of students in her class this year. She learns that the national average score on the 5^th grade annual test is 150, with a standard deviation of 30. She wants to compare her student’s scores to the national average.

Here we want to find that our sample mean score is equal to population means score(150)

Hypothesis is

H0: X = µ

vs

H1: X ≠ µ

What is the appropriate test statistic to use for scenario 3

z-test