1 Independent random samples taken at two local malls provid

1.

Independent random samples taken at two local malls provided the following information regarding purchases by patrons of the two malls.

At 95% confidence, test to determine whether or not there is a significant difference between the average purchases by the patrons of the two malls. Determine the value of the test statistic.

Select one:

A. Z = 2.65

B. t = 2.65

C. Z = -2.79

D. Z = 2.45

E. None of the above answers is correct

2.

A school administrator believes that there is no difference in the student dropout rate for schools located in his district and schools located in another district. A random sample of 25 schools in the administrator\'s district was taken. The student dropout rate of the schools in the sample was 24%. A random sample of 30 schools in the other district had a dropout rate of 27%. Give a point estimate of the standard deviation for the difference between the population proportions for the two districts.

Select one:

A. 0.0128

B. 0.0532

C. 0.0871

D. 0.1178

E. None of the above answers is correct

3.

An estimate of the variance of a population based on the combination of two sample results is known as the

Select one:

A. pooled standard deviation

B. matched variance

C. pooled variance estimate

D. None of these alternatives is correct.

4.

The reliability of two types of machines used in the same manufacturing process is to be tested. The first machine failed to operate correctly in 45 out of 300 trials while the second type failed to operate correctly in 50 out of 250 trials. Calculate the standard deviation of the sampling distribution for the difference between the sample proportions.

Select one:

A. 0.0012

B. 0.0326

C. 0.1727

D. 0.134

E. None of the above answers is correct

5.

a.) At 95% confidence, test the above hypothesis. What is(are) the critical value(s) of the test statistic?

Select one:

A. -1.645

B. 1.645

C. 1.96

D. -1.96

E. -1.96 and 1.96

F. None of the above answers is correct

6.

Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. (Let the difference \"d\" be d = A - B.)

If the value of the test statistic is equal to -2.17 and the objective of the test of hypothesis is to determine whether the two machines are different at significance level of 10%, what conclusion should be drawn?

Select one:

A. Reject null hypothesis, the two machines are different

B. Reject null hypothesis, the two machines are not different

C. Fail to reject null hypothesis, the two machines are different

D. Fail to reject null hypothesis, the two machines are not different

E. None of the above answers is correct

	Hamilton Place	Eastgate
Sample Size	80	75
Average Purchase	$43	$40
Standard Deviation	$ 8	$ 6

Solution

Set Up Hypothesis
Null Hypothesis , There Is No-Significance between them Ho: u1 = u2
Alternate Hypothesis, There Is Significance between them - H1: u1 != u2
Test Statistic
X(Mean)=43
Standard Deviation(s.d1)=8 ; Number(n1)=80
Y(Mean)=40
Standard Deviation(s.d2)=6; Number(n2)=75
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =43-40/Sqrt((64/80)+(36/75))
to =2.65
| to | =2.65
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 74 d.f is 1.993
We got |to| = 2.65165 & | t | = 1.993
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 2.6517 ) = 0.01
Hence Value of P0.05 > 0.01,Here we Reject Ho

Q1.
B. t = 2.65