A study is conducted to test the following hypothesis regarding a math exam: Ho:

Question

A study is conducted to test the following hypothesis regarding a math exam:

Ho: The mean score of the exam is 30 (=30)

H naught: The mean score on the exam is more than 30(>30)

The experimenter will select one exam randomly and look at the score. Suppose that the real distribution of scores on the exam is approx. normal with a standard deviation of 2. a)The randomly selected exam had a score of 35. What is the p-value?

b) If the researcher decided on a significance level of 1%, would she accept or reject the null?

c)What is the researchers conclusion regarding the average score on the exam?

Explanation / Answer

mu = 30 , x = 35 , s = 2 , n =1

a) test statistic:

z = (x - mean) / (s/sqrt(n))

= ( 35 - 30) / ( 2/sqrt(1))

= 2.5

Now, we need to find p value using z statistic = 2.5

p value =  0.00621.

b) As p value less than significance level so we reject the null hypothesis.

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