Part II (Chapter 8 and 9) Due Aug, 15, 2004)
Q1) A random sample of n =100 from a binomial population produced X = 60 successes. Answer the following 
1.	Calculate the point estimate of P
            Point estimator of p: = 60/100 =0.60
2.	Calculate the margin of error in estimating the binomial proportion P
Margin of error : 
3.	Construct 90% confidence interval for P.
90% confidence interval for the population proportion p :

Q2) A random sample of n = 49 observations possessed a mean = 30 and a standard deviation s = 5. Answer the following
    1. Determine the point estimate for
1) Point estimator of m: = 30
2) Margin of error : 
3) 93% confidence interval for the population mean m :

Q3) A random sample of n = 64 observations from a quantitative population produce a mean = 16 and a standard deviation s =10. If we want to test  
, vs. 

1) The test statistic is: 

2) Critical values are: z0.025 = -1.96 and z0.975 = 1.96

3) p-value = P(Z < -3.2) + P(Z > 3.2) = 2P(Z<-3.2)= 2(0.0005) = 0.001 
                    p-value < a = 0.05, then H0 is rejected

Q4) A manufacturer produces washing machines in two colors, white and green. Of the first 400 washing machines sold, 160 were white.
n =400, xwhite = 160
1) Point estimator of p: = 160/400 =0.40
Margin of error: 
2) The test statistic is: 

3) p-value = P(Z > 2.04) = 1-P(Z<2.04)= 0.0207
                    p-value < a = 0.025, then H0 is rejected

Q5) The following table gives the prices in JD of a sample of 40 mathematics books in Jordan.
4.2   4.4   4.0   3.3   5.7   3.9    3.7   4.6
3.9   4.0   5.5   3.4   3.7   3.1    4.0   3.8
4.6   3.2   3.5   3.8   4.3   3.9    3.3   4.8
4.0   3.2   4.2   3.0   4.8   4.3    5.2   3.4
2.5   3.5   3.9   4.3   2.9   4.1    3.3   2.8
= 3.90, s=0.71036
1) Point estimator of m: = 3.90
2) 95% confidence interval for the population mean m :

3. Test, vs. . Use =0.01
The test statistic is: 

Critical values are: z0.025 = -1.96 and z0.975 = 1.96
Reject H0 if z>1.96 OR z<-1.96
Z=-0.89 > -1.96 then H0 is not rejected. 

Or we can use p-value approach: 
p-value = P(Z < -0.89) + P(Z > 0.89) = 2P(Z<0.89)= 2(0.1867) = 0.3734
                    p-value > a = 0.01, then H0 is NOT rejected