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

Question

A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u 516 The teacher obtains a random sample of2000 students, puts them through the review class, and finds that the mean math score ofthe 2000 students is 523 with a standard deviation of 117, Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let be the mean score. Choose the correct answer below. O A. Ho: 516, H1: w 516 O B. Ho: 6, H 516 H 516 O D. Ho: H 516, H H 516 (b) Test the hypothesis at the a 0.10 level of significance. Ils a mean math score of 523 statistically significantly higher than 516?Conduct a hypothesis test using the value approach. nd the test statistic. Round to two decimal places as needed ndthe P-value. The P-value is (Round to three decimal places as needed.)

Explanation / Answer

1)a)option C is correct

std error =std deviation/(n)1/2 =2.6162

hence test stat tc =(X-mean)/std error =(523-516)/2.6162=2.6756

for above p value =0.004

sample mean statistically higher: yes

c) No

d)for sample size n=375

std error =6.042

hence test stat =1.1586

p value =0.123

no it is not significantly higher

conclusion : option C is correct

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