Asked Nov 25, 2019

Two groups of students are given a problem solving a test and the results are compared. Determine whether there is no difference between the means. Use the p value mathod. 

mathemetics majors mean = 83.6 s1= 4.3 n1= 36 

computer science majors mean = 79.2 s2= 3.8 n2= 36 


Expert Answer

Step 1

The hypotheses are given below:


Image Transcriptionclose

Null hypothesis: H 4=42 Alternative hypothesis: H

Step 2

Step-by-step procedure to obtain the test statistic using MINITAB software:

  • Choose Stat > Basic Statistics > 2 sample t.
  • Choose Summarized data.
  • In first, enter Sample size as 36, Mean as 6, Standard deviation as 4.3.
  • In second, enter Sample size as 36, Mean as 2, Standard deviation as 3.8.
  • Choose Options.
  • In Confidence level, enter 95.
  • In Alternative, select Not equal.
  • Click OK in all the dialogue boxes.

Output obtained using MINITAB software is given below:


Image Transcriptionclose

Two-Sample T-Test and Cl Method Hmean of Sample s mean of Sample 2 Difference: -pa Equal variances are not assumed for this analysis Descriptive Statistics Sample Sample 1 36 83.60 Sample 2 36 79.20 N Mean StDev SE Mean 4.30 0.72 3.80 0.63 Estimation for Difference 95% CI for Difference Difference 4.400 (2.492, 6.308) Test Ho: H-0 Null hypothesis Alternative hypothesis Hi 0 T-Value DF P-Value 4.60 68 0.000

Step 3

From the output, the test statistic is 4.60 and the p-value is 0.000.



Image Transcriptionclose

If p-value significance level, reject the null hypothesis. If p-value significance level, do not reject the null hypothesis.


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in



Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval...

A: Introduction:The 100 (1 – α) % confidence interval for the population proportion, p is: (p̂ – (zα/2­...


Q: The following data represent the muzzle velocity​ (in feet per​ second) of rounds fired from a​ 155-...

A: (a) Reason why the data is matched-pairs data:The data shows that the muzzle velocity of rounds fire...


Q: To determine whether caffeine consumption affectsthe ability to solve math problems, a researcher ha...

A: According to the provided question, a study was conducted to test the caffeine consumption affects t...


Q: Women N Mean Standard Deviation New Drug 40 38.88 3.97 Placebo 41 39.24 4.21 Men N Mean St...

A: From the given information, the claim of the test is testing whether there a significant difference ...


Q: The library board of directors believes that at most half of alllibrary customers borrow ebooks, and...

A: It is given that the population proportion; P is 0.5. It is found that 80 of 150 customers borrow. T...


Q: Assume that the differences are normally distributed. Complete parts ​(a) through ​(d) below.   ...

A: The values of the d are –1.8, –0.7, –2.1, –3.9, –1.2, –2.4, –3.3, 0.8.


Q: If the sample size is 30 and the mean score for group one is 5.6, mean score for group two Is 7.8, a...

A: Given data and calculation is shown below


Q: A group of researchers surveyed 58 people when they first started using Facebook (the researchers ca...

A: Paired t-test:The paired t-test, also known as the “dependent t-test”, is a statistical procedure to...


Q: 3. The number of broken bobble heads found on a bobble head production line every week follows a nor...

A: From the provided information, the mean (µ) and standard deviation (σ) are 10 and 2 respectively.A. ...