Week Four Problems Complete the following problems from the textbook and submit them as a Word file. When appropriate, you may use either Excel or Megastat to complete (see tutorials in chapter...

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Answer To: Week Four Problems Complete the following problems from the textbook and submit them as a Word file....

Robert answered on Dec 22 2021
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Week Four Problems
Complete the following problems from the textbook and submit them as a Word file. When appropriate, you may use either Excel or Megastat to complete (see tutoria
ls in chapter appendices).
Solution:
a) Null Hypothesis H0: μ≤42
Alternative Hypothesis H1: μ>42
b) We find the test statistics
Z = (X-bar - µ)/ (σ/√n)
= (42.954 – 42)/ (2.64/√65)
= 0.954/0.3275
= 2.91
As it is a right tailed test, critical value at
Z (0.10) = 1.282, Z-statistics > 1.282 reject Ho
Z (0.05) = 1.645, Z-statistics > 1.645, reject Ho
Z (0.01) = 2.33, Z-statistics > 2.33, reject Ho
Z (0.001) = 3.09, Z-statistics < 3.09, fail to reject Ho
c) Using Z-tables
P [Z > 2.91] = 1 – 0.9982
= 0.0018
P-value < a = 0.10, reject Ho
P-value < a = 0.05, reject Ho
P-value < a = 0.01, reject Ho
P-value > a = 0.001, fail to reject Ho
At 10%, 5%, 1%, level of significance, there is sufficient evidence to reject the null hypothesis.
We can conclude that the mean composite satisfaction rating exceeds 42.
Answer:
Z-test is used under the following conditions:-
1) When population standard deviation is known.
2) When sample size is large.
t-test is used under the following conditions:-
1) When population standard deviation is unknown.
2) When sample size is small (less than 30).
MEGASTAT OUTPUT
Chi-square Contingency Table Test for Independence
France Germany U.K. Total

Straight line
15
0
25
40
Declining B 1
1
1
3
D & S
10
25
0
35
Total
26
26
26
78
50.89
chi-square
4
df
2.35E-10
p-value
Since the p- value is less than 0.05), we have sufficient evidence to reject Ho and accept Ha.
We can conclude that the depreciation method is not independent of country.
Solution:
a) For a χ2...
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