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11 pages/≈3025 words
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APA
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Mathematics & Economics
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Math Problem
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English (U.S.)
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Z-score Statistics Mathematics & Economics Math Problem (Math Problem Sample)

Instructions:

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

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Content:


Z-score statistics
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Subject:
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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