Question

In a study of the effect of college student employment on academic performance, the following summary...

In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use μemployed − μnot employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)

STUDENTS WHO ARE EMPLOYED

Sample Size 176

Mean GPA 3.22

Standard Deviation 0.485

STUDENTS WHO ARE NOT EMPLOYED

Sample Size 116

Mean GPA 3.33

Standard Deviation 0.514

t =

df =

P =

Does this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed? Use a significance level of 0.05. Yes or No

Homework Answers

Answer #1
group 1 group 2
sample mean x = 3.220 3.330
std deviation s= 0.485 0.514
sample size n= 176 116
std error se=s/√n= 0.037 0.048
degree freedom=(se12+se22)2/(se12/(n1-1)+se22/(n2-1))= 236
Point estimate =x1-x2= -0.110
standard error of difference Se=√(S21/n1+S22/n2)= 0.0601
test statistic t =(x1-x2o)/Se= -1.8298
p value : = 0.0343 from excel: tdist(1.8298,236,1)

from above:

t =-1.83

df =236

p value =0.034

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a study of the effect of college student employment on academic performance, the following summary...
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use ?employed ? ?not employed. Round your test statistic to two decimal places, your df down to the nearest...
A study was conducted to estimate the effect of college student employment on academic performance. In...
A study was conducted to estimate the effect of college student employment on academic performance. In a random sample of 15 working students, the mean GPA was 2.4 with a standard deviation of 0.05. In a random sample of 13 nonworking students, the mean GPA was 2.3 with a standard deviation of 0.03. Assume the populations are normal with equal variances. Round your critical value to three decimals. Enter your answers rounded to four decimal places. (a). The pooled sample...
A study compares students who use a website and students who do not use the website....
A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public Midwestern university. Although the samples were not selected...
A study compares students who use a website and students who do not use the website....
A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public Midwestern university. Although the samples were not selected...
A study in the Journal of Leisure Research investigated the relationship between academic performance and leisure...
A study in the Journal of Leisure Research investigated the relationship between academic performance and leisure activities. Each in a sample of 159 high school students was asked to state how many leisure activities they participated in weekly. From the list, activities that involved reading, writing, or arithmetic were labeled "academic leisure activities." Some of the results are listed below: Mean Standard Deviation GPA 2.96 0.71 Number of leisure activities 12.38 5.07 Number of academic leisure activities 2.77 1.97 Knowing...
Do male college students spend more time than female college students using a computer? This was...
Do male college students spend more time than female college students using a computer? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 female students from the same university kept a diary of how he or she spent time over a three-week period. For the sample of males, the mean time spent...
Do male college students spend more time than female college students using a computer? This was...
Do male college students spend more time than female college students using a computer? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 female students from the same university kept a diary of how he or she spent time over a three-week period. For the sample of males, the mean time spent...
Do male college students spend more time than female college students using a computer? This was...
Do male college students spend more time than female college students using a computer? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 female students from the same university kept a diary of how he or she spent time over a three-week period. For the sample of males, the mean time spent...
To determine whether living in an off-campus residence affects an undergraduate student’s academic achievement at Longwood...
To determine whether living in an off-campus residence affects an undergraduate student’s academic achievement at Longwood University, samples of 50 on-campus residents and 50 off-campus residents were drawn randomly and independently from the Longwood undergraduate student body. The GPA for the on-campus residents had mean 2.81 and variance 0.32, while the GPA for the off-campus students had a mean of 2.72 and variance 0.45. In this problem, you will conduct a two-sample z-test to determine if the data indicates that...
To determine whether living in an off-campus residence affects an undergraduate student’s academic achievement at Longwood...
To determine whether living in an off-campus residence affects an undergraduate student’s academic achievement at Longwood University, samples of 50 on-campus residents and 50 off-campus residents were drawn randomly and independently from the Longwood undergraduate student body. The GPA for the on-campus residents had mean 2.81 and variance 0.32, while the GPA for the off-campus students had a mean of 2.72 and variance 0.45. In this problem, you will conduct a two-sample z-test to determine if the data indicates that...