Question

In: Statistics and Probability

Question 5 (1 point) A high school math teacher believes that male and female students who...

Question 5 (1 point)
A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students:

Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31
Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21

Test the teacher's claim.

What is the p-value?

Question 5 options:

0.6268


0.0407


0.7223


0.0521

Solutions

Expert Solution

Claim : Male and female students who graduated from the school perform equally well on SAT math test

Let , be the population mean of SAT score of male.

be the population mean of SAT score of female.

So, Hypothesis is ,

Two tailed test.

Le't use TI-84 to find P-value.

Steps -1 : Enter given data in calculator ( STAT --> Edit ---> Enter data in L1 and L2 )

Steps -2 : Press STAT ---> TESTS ---> 2-SampTTest

Input :

Highlight Calculate and hit Enter.  

P-value = 0.7223


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