QUESTION 1 5 points Save Answer The mean city wide exam score for the population

Question

QUESTION 1 5 points Save Answer The mean city wide exam score for the population of first year students high school students is u 600 An investigator wishes to test if the mean SAT of first year psychology majors is significantly different from the mean score of the population. The mean of a sample of 100 randomly selected first year psychology majors is Xbar 624 with a standard deviation 100 (alpha 0.05) State your null and alternative hypothesis. Hnuli u population u psych students Halt upopulation u psych students Hnull u population u psych students Halt upopulation u psych students Hnull u population u psych students Halt upopulation u psych students none of the above QUESTION 2 5 points Save Answer Calculate the value of the Standard Error for the means of sample size 100 of Psychology Majors QUESTION 3 5 points Save Answer Calculate the value of the critical t or z score (you chose which is appropriate based on whether the population or sample distribution is known) for the above problem. QUESTION 4 5 points Save Answer Calculate the t value for this hypothesis test hint: it's a two sided hypothesis test) QUESTION 5 5 points Save Answer Calculate the p value for this hypothesis test hint: it's a two sided hypothesis test). Hint using Excel p tdist(t, deg of freedom. tai

Explanation / Answer

1)

Hnull = mu population = mu psych students
Halt = mu population not equal to mu psych students

2)

SE = (s/sqrt(n))
= ( 100 / sqrt(100))
= 10

3)

Critical value for 0.05 = +/- 1.984

4)

t = ( x bar - mean) / ( s/sqrt(n))
= ( 624 - 600)/( 100/sqrt(100))
= 2.4

5)

p value is calculated using t = 2.4 , df = 99

p value = .0182

6)

we accept the null hypothesis.

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