Question

In: Statistics and Probability

The following case is for Questions 1-4: A study considers whether the mean score of a...

The following case is for Questions 1-4:

A study considers whether the mean score of a college entrance exam for students in 2019 (Group 1) was higher than the mean score in 2018 (Group 2). A random sample of 25 students who took the exam in 2019 and a random sample of 25 students who took the exam in 2018 were selected. Assume α=0.1.

Sample Size Mean Standard Deviation

2019: n = 25 = 497 s= 102

2018: n = 25 = 485 s= 98

Difference: n = 25 = 12 s= 20

Question 1:

Frame the null hypothesis and alternative hypothesis:

(a) Ho: µ1=µ2 Ha: µ1>µ2

(b) Ho: µ1=µ2 Ha: µ1<µ2

(c) Ho: µ1=µ2 Ha: µ1≠µ2

(d) Ho: µ1>µ2 Ha: µ1=µ2

Question 2:

What is the case of this question?

(a) Large Independent Sample Mean

(b) Small Independent Sample Mean

(c) Paired Difference Case

(d) Large Independent Sample Proportion

Question 3:

What is the degree of freedom?

(a) 24

(b) 25

(c) 48

(d) 49

Question 4:

What is the test statistic?

(a) 4.16

(b) 3.0

(c) 0.42

(d)24.36

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