answer the following question with complete solution, graph and answer just like in the example given 1. A random sample of 49 business establishments shows that the averagemonthly water consumption is 35 cubic meters with a standarddeviation of 5 cubic meter. Test the hypothesis that the averagemonthly water consumption is 34 cubic meters at 1% level ofsignificance. Solution:It is a one-tailed test since the alternative hypothesis uses the symbolfor greater than (>). And since o is known and n 2 30, we will use z-test. Thelevel of significance is 0.05.From Table 1, the z-critical value is 1.645.Thus, we have:71.5 – 701.5z =80.8V100z = 1.8751.645z-critical valueThe computed z-value is 1.875 which is greater than the criticalvalue of 1.645. Therefore, we reject the null hypothesis and support andaccept the alternative hypothesis that the population mean is greaterthan 70.Example 2:Consider the following given information. Use a = 0.01. Interpret the result.Null HypothesisAlternative HypothesisI = 124.5Ho: µ = 127Ha: μ < 127µ = 127n = 12s = 5

1) The given problem is to test whether the average monthly water consumption is 34 cubic meters.…

1. A random sample of 49 business establishments shows that the average monthly water consumption is 35 cubic meters with a standard deviation of 5 cubic meter. Test the hypothesis that the average monthly water consumption is 34 cubic meters at 1% level of significance.

1. A random sample of 49 business establishments shows that the average monthly water consumption is 35 cubic meters with a standard deviation of 5 cubic meter. Test the hypothesis that the average monthly water consumption is 34 cubic meters at 1% level of significance.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

answer the following question with complete solution, graph and answer just like in the example given

1. A random sample of 49 business establishments shows that the average
monthly water consumption is 35 cubic meters with a standard
deviation of 5 cubic meter. Test the hypothesis that the average
monthly water consumption is 34 cubic meters at 1% level of
significance.

Solution:
It is a one-tailed test since the alternative hypothesis uses the symbol
for greater than (>). And since o is known and n 2 30, we will use z-test. The
level of significance is 0.05.
From Table 1, the z-critical value is 1.645.
Thus, we have:
71.5 – 70
1.5
z =
8
0.8
V100
z = 1.875
1.645
z-critical value
The computed z-value is 1.875 which is greater than the critical
value of 1.645. Therefore, we reject the null hypothesis and support and
accept the alternative hypothesis that the population mean is greater
than 70.
Example 2:
Consider the following given information. Use a = 0.01. Interpret the result.
Null Hypothesis
Alternative Hypothesis
I = 124.5
Ho: µ = 127
Ha: μ < 127
µ = 127
n = 12
s = 5

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