# Z-score Statistics Mathematics & Economics Math Problem (Math Problem Sample)

Question1. Cheap mart retailer

Let µ1 be the average bill for cheap mart and µ2 be for other retailer.

Claim: the average bill for identical item will not be less at any other retailer except the cheap mart.( µ2 > µ1)

a. Hypothesis

H0: µ2≤ µ1 vs: The average bill for identical item will be less at any other retailer except the cheap mart.

H1: µ2> µ1. The average bill for identical item will not be less at any other retailer except the cheap mart

b. P-value

The p-value for our one tail is 0.487771069

c. Decision at 0.05 level of significance

Since our z critical one tail(1.6449) is greater than z calculated(0.0307) we fail to reject null hypothesis.

Thus the decision is that, the average bill for identical item will be less at any other retailer except the cheap mart.

d. Decision at 0.01 level of significance

Z-score statistics

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Question1. Cheap mart retailer

Let µ1 be the average bill for cheap mart and µ2 be for other retailer.

Claim: the average bill for identical item will not be less at any other retailer except the cheap mart.( µ2 > µ1)

* Hypothesis

H0: µ2≤ µ1 vs: The average bill for identical item will be less at any other retailer except the cheap mart.

H1: µ2> µ1. The average bill for identical item will not be less at any other retailer except the cheap mart

* P-value

The p-value for our one tail is 0.487771069

* Decision at 0.05 level of significance

Since our z critical one tail(1.6449) is greater than z calculated(0.0307) we fail to reject null hypothesis.

Thus the decision is that, the average bill for identical item will be less at any other retailer except the cheap mart.

* Decision at 0.01 level of significance

Since our z critical one tail(2.3263) is greater than z calculated(0.0307) we fail to reject null hypothesis.

Thus the decision is that, the average bill for identical item will be less at any other retailer except the cheap mart.

Question2: assistantship

Let µ1 be student assistant for S field of study and µ2 be student assistant for A field of study

Belief: student assistantship is same for all major .( µ2 = µ1)

Level of significance 5%

* Hypothesis

H0: µ2 = µ1, the student assistant is same for S and A fields of study vs

H1: µ2 ≠µ1,the student assistant is not same for S and A fields of study

* P-value

lefttopp-value= 0.00

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