Question
In: Statistics and Probability
Test the claim that the true population mean is statistically equal to 40, given a sample...
Test the claim that the true population mean is statistically equal to 40, given a sample of 150 observations for which the mean is 41.6. Assume that the true population standard deviation is 9, and test at the .01 level of significance. Provide a complete solution using the classical approach
Solutions
Expert Solution
This is the two tailed test .
The null and alternative hypothesis is
H0 : 
= 40
Ha :
40
Test statistic = z
= (
- 
) / 
/ 
n
= (41.6 - 40) / 9 /
150
= 2.177
Test statistic = 2.177
= 0.01
Critical value = 2.326
Fail to reject the null hypothesis .
orchestra answered 2 years agoRelated Solutions
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3). You are given the claim that the mean of a population is not
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that you know the
population standard deviation is 4 cm, and the population
distribution is approximately
normal. To test this claim, you take a random sample as
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You wish to test the claim that the first population mean is not
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Sample #2
80.8
78.4
96.5
55.2
74.6
53.8
57.1
43.8
108.1
65.1
57.8
85.7
69.5
89.5
93.0
98.7
75.1
98.0
87.9
76.7
78.0
88.8
84.0
96.9
76.7
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You wish to test the claim that the first population mean is not equal to the...
You wish to test the claim that the first population mean is not
equal to the second population mean at a significance level of
α=0.005α=0.005.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain the following two samples of data.
Sample #1
Sample #2
100.7
93.4
98.6
83.3
98.6
99.1
83.0
91.4
104.9
81.0
99.6
79.1
75.2
79.0
74.8
83.1
86.4
82.6
65.1
65.9
82.0
81.0
81.8
95.3
80.0
92.0
80.6
What is the test statistic for this sample?
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Test the claim that the paired sample data is from a population
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A 19 17 36 32 20
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Given the following random sample from a normally distributed population, test the claim that the population...
Given the following random sample from a normally distributed
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deviation greater than 9.2, using a 5% level of significance. Show
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hypotheses. B) Find the critical value(s). C) Calculate the test
statistic. D) Make the decision to reject the null hypothesis or
not. E) State the conclusion.
Sample:
51 53 65
47 63 73
35 54 64
57 64...
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A.
H0: μ= 51,800
Ha: μ≠ 51,800
B.
H0:μ≤ 51,800
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C.
H0: μ ≥ 51,800
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D.
H0: μ ≠...
Test the claim about the population mean, mu, at the given level of significance using the...
Test the claim about the population mean, mu, at the given
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Test the claim about the population mean, μ, at the given level of significance using the...
Test the claim about the population mean, μ, at the given
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Identify the null and alternative hypotheses.
Calculate the standardized test statistic.
Determine the critical value(s). Select the correct choice
below and fill in the answer box to complete your choice.
A. The critical values are plus or minus ?
B. The critical value is ?
Test the claim about the population mean, muμ , at the given level of significance using...
Test the claim about the population mean,
muμ ,
at the given level of significance using the given sample
statistics. Claim:
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alphaαequals=0.060.06 ;
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x overbarxequals=38.738.7 ,
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Identify the null and alternative hypotheses. Choose the correct
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A.
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B.
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C.
Upper H 0H0 :
muμequals=4040
Upper H Subscript aHa :...
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