math teacher claims that she has developed a review course that increases the sc

Question

math teacher claims that she has developed a review course that increases the scores ofstudents on math college entrance exam. Based on data from the that the administrator of the exam scores are normally distributed with teacher obtains a random sample of 2000 students, puts them thwough the review class. and finds mean math score of the 2000 students is 520 with a standard deviation of 119 complete parts (a) through (d) below. (a) State the num and alternative hypotheses. Let w be the mean score. Choose the comect answer below. O A. Ho 513 H1 513 O B. Ho, w 513 H, w 513 O C. Ho: w 513 H1: w 513 O D. Ho 513 H 513 ahypothesis estusng me Pvalue b) Test the hypothesis at the o 0,10 level of significance Is a mean math score of 520 statistically significantly higher than 513? Conduct approach. Find the test statistic Click to select your answer(s) Enter Tab

Explanation / Answer

a) option a is correct

b)std error of mean =std deviation/(n)1/2 =2.661

hence test stat =(X-mean)/std error =(520-513)/2.661=2.6307

p value =0.0043

Yes

c) Yes, every increase.........

d)std error =std deviation/(n)1/2 =5.95

test stat =(X-mean)/std error =(520-507)/5.95 =1.1765

p value =0.1201 for t distribution and 0.1197 for z distribution

No, Not significant

option D

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