Lab 7.pdf: 2017FA-STATx Lab 7.pdf yi HW5 STAT 20 1: Central L × \\ e Statistics

Question

Lab 7.pdf: 2017FA-STATx Lab 7.pdf yi HW5 STAT 20 1: Central L × e Statistics and Probability x e Chegg Study I Guided s x C file:///C/Users/johnw/Downloads/Lab%207.pdf According to CSU Institutional Research, 17% of students at CSU go on to graduate school. Let's assume that 17 is the population proportion (-0.17). Suppose we take a simple random sample 150 CSU seniors who will be graduating this spring and compute the sample proportion of students going to graduate school, p. 3. 2 pts Check thetwo conditions required to assume a normal sampling distributionof the sample proportion Are the conditions met in this study? (1 pt) What is the mean of the sampling distribution of P 5· (2 pts} what is the standard deviation of the sampling distribution of O Type here to search 10/10/2017 4

Explanation / Answer

3) here as n=150 an p=0.17

therefore np >10 and n(1-p) >10

hence both the condition for normal sampling distribution is met.

4) mean of sampling distribution of Pbar =0.17

5)std deviation  of sampling distribution of Pbar = =(p(1-p)/n)1/2 =0.0307

6)P(Pbar>0.14)=1-P(Pbar<0.14) =1-P(Z<(0.14-0.17)/0.0307)=1-P(Z<-0.9781)=1-0.1640 =0.8360

7) here P(Pbar<8/150)=P(Pbar<0.0533)=P(Z<((0.0533-0.17)/0.0307) =P(Z<-3.8039)=0.0001

8) as probability of only 7 students or less then that going to graduate school is very less as we have seen in part (7). Either this sample is extremely rare sample or International reserch numbers are doubtful

please revert for any clarification

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