Question

In: Math

Assume that a researcher is interested in finding out the relationship between standardized test scores and...

  1. Assume that a researcher is interested in finding out the relationship between standardized test scores and household income. Seven participants have been randomly selected and their ACT Composite score and household income are reported. By performing a test, can you conclude that there is a significant relationship between household income and ACT Composite score? State your null and alternative hypotheses. Please show all of the required steps. Use the data in the table below. Assume α = .05 (20 points)

Income (in thousands)

ACT Composite score

30

16

21

18

24

18

59

21

55

23

105

25

35

26

Solutions

Expert Solution

S.No X Y (x-x̅)2 (y-y̅)2 (x-x̅)(y-y̅)
1 30 16 289.0000 25.0000 85.0000
2 21 18 676.0000 9.0000 78.0000
3 24 18 529.0000 9.0000 69.0000
4 59 21 144.0000 0.0000 0.0000
5 55 23 64.0000 4.0000 16.0000
6 105 25 3364.0000 16.0000 232.0000
7 35 26 144.0000 25.0000 -60.0000
Total 329 147 5210.0000 88.0000 420.0000
Mean 47.000 21.000 SSX SSY SXY

since test statistic does not falls in rejection region we fail to reject null hypothesis
we do not have have sufficient evidence to conclude that, t there is a significant relationship between household income and ACT Composite score

Related Solutions

Assume that a researcher is interested in the relationship between hours of sleep and anxiety. Eight...
Assume that a researcher is interested in the relationship between hours of sleep and anxiety. Eight individuals are randomly selected and the amount of hours slept and anxiety scores are measured. The scores are reported in the following table. Calculate the correlation coefficient. Use α = .05 to conduct a hypothesis test on correlation. Hours of sleep Anxiety score 5.5 55 6 47 8 45 7.25 50 8.5 35 7 39 8.75 39 9 36 *SHOW WORK FOR THIS PROBLEM...
A school is interested in whether its student's scores on a standardized test exceed the national...
A school is interested in whether its student's scores on a standardized test exceed the national average. The national average is 40 (μ = 40) and the standard deviation is 8 (cr = 8). To determine this, the school officials administer the test to a sample of 16 (n = 16) students and obtain a mean score of 44 (M = 44). Perform a z-test to determine whether the students in the school differ significantly from the national average. Perform...
A researcher is interested to learn if there is a relationship between the level of interaction...
A researcher is interested to learn if there is a relationship between the level of interaction a women in her 20s has with her mother and her life satisfaction ranking. Below is a list of women who fit into each of four level of interaction. Conduct a One-Way ANOVA on the data to determine if a relationship exists. State whether or not a relationship exists and why or why not. Explain in as much detail as possible. No Interaction Low...
A researcher is interested to learn if there is a linear relationship between the hours in...
A researcher is interested to learn if there is a linear relationship between the hours in a week spent exercising and a persons life satisfaction. The researchers collected the following data from a random sample, which included the number of hours spent exercising in a week and a ranking of life satisfaction from 1 to 10 ( 1 being the lowest and 10 the highest). Participant Hours of Exercise Life Satisfaction 1 3 1 2 14 2 3 14 4...
A sports researcher is interested in determining if there is a relationship between the number of...
A sports researcher is interested in determining if there is a relationship between the number of home wins depends on the sport. A random sample of 200 games is selected and the results are given below. Football Basketball Soccer Baseball Home team wins 30 20 15 35 Visiting team wins 20 30 35 15 What is the test statistic value for the above data? A 4 B 10 C 20 D None of the above
A sports researcher is interested in determining if there is a relationship between the number of...
A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 633 games is selected and the results are given below. Conduct test of hypothesis to test the claim that the number of home team and visiting team wins is independent of the sport. Use a=0.05. Football BasketBall Soccer Baseball Hometeam Wins 89 165 91 49 Visiting Team Wins 60 89 52...
A researcher is interested to learn if there is a linear relationship between the hours in...
A researcher is interested to learn if there is a linear relationship between the hours in a week spent exercising and a person’s life satisfaction. The researchers collected the following data from a random sample, which included the number of hours spent exercising in a week and a ranking of life satisfaction from 1 to 10 ( 1 being the lowest and 10 the highest). PLEASE help in SPSS. Participant Hours of Exercise Life Satisfaction 1 3 1 2 14...
[6 marks] A researcher was interested in finding out whether Moral Reasoning could be enhanced if...
[6 marks] A researcher was interested in finding out whether Moral Reasoning could be enhanced if students were taught using Moral Dilemmas. Subjects were given a Moral Reasoning Test before the treatment (using moral dilemmas) and after the treatment and the results are shown in Table 1 below. Table 1 : Mean Moral Reasoning Score Before and After Teaching Using Moral Dilemmas N Mean Std. Deviation Std. Error Mean Pretest 30 18.50 5.33 0.97 Posttest 30 23.86 4.75 0.87 Describe...
A researcher is interested in determining whether there is a relationship between the weekly number of...
A researcher is interested in determining whether there is a relationship between the weekly number of room air-conditioning units sold and the time of year. What type of descriptive chart would be most useful in performing this analysis? Explain your choice.
A researcher is interested in a possible relationship between height and the time it takes to...
A researcher is interested in a possible relationship between height and the time it takes to run a 100 meters. With a random sample of 57 people, the researcher finds a Pearson correlation coefficient r = − 0.492. Group of answer choices A. There is a very strong correlation between these variables. As height increases, generally the 100-meter run time decreases. B. There is a very strong correlation between these variables. As height increases, generally the 100-meter run time increases...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT