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

Solutions

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