Question

The mean Verbal SAT score for the population of first students at Radford is 520. The standard deviation of scores in this population is 95. An investigator believes that the mean Verbal SAT of first year psychology majors is significantly greater than the mean score of the population. The mean of a sample of 36 first year psychology majors is 548. Test the investigator's prediction using an alpha level of .05.
Z = 1.768; Critical value = -1.645; Fail to Reject null hypothesis.
Z = 1.768; Critical value = 1.645; Reject null hypothesis
t = 1.768; Critical value = 1.689; Reject null hypothesis
t = -1.768; Critical value = -1.689; Fail to Reject null hypothesis

Answer 1

Answer:

see the answer in the attachment please mark as brainlist

Answer 2

Answer:

option 1

Step-by-step explanation:

Mean ( π)=520

Sample mean( xdash)=548

Sample size (n)=36

(α)alpha=0.05

Standard deviation(sigma)=95

Ho:π is equal to 520

H1:π is not equal to 520

TWO TAILED TEST

z-test for one mean with known population standard deviation used

Alpha =0.05

Critical value tob2 tailed test is Zc=1.96

Rejection area

R={z:|z|>1.96}

Z=x-π/sigma/√n = 1.7684

|z|=1.7684<1.96

The null hypotgesis is not rejected

Using the p-value approach

p=2P(z<-1.7684)=0.076994

Since 0.076994>0.05

We concluded that null hypothesisi is not rejected

Therefore we claims that there is no such evidence that the population mean is different than 520 at alpha 0.05