Step 1 From the provided information, Sample size (n) = 30 Sample mean (x) = 111 Sample standard deviation (s) = 1.7 Since, the population standard deviation is unknown, therefore, the t distribution will be use Step 2 The hypotheses are as follow: Ho:H = 120 HaiH # 120 Confidence level = 95% Level of significance (a) = 1- 0.95 = 0.05 The value of the test statistic can be obtained as: x - µ t = S

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could you please explain step 3 how did they get 0.00001

Step 1
From the provided information,
Sample size (n) = 30
%3D
Sample mean (X) = 111
Sample standard deviation (s) = 1.7
Since, the population standard deviation is unknown, therefore, the t distribution will be use
Step 2
The hypotheses are as follow:
Ho:H = 120
Ha:H # 120
Confidence level = 95%
Level of significance (a) = 1- 0.95 = 0.05
The value of the test statistic can be obtained as:
x µ
S
Transcribed Image Text:Step 1 From the provided information, Sample size (n) = 30 %3D Sample mean (X) = 111 Sample standard deviation (s) = 1.7 Since, the population standard deviation is unknown, therefore, the t distribution will be use Step 2 The hypotheses are as follow: Ho:H = 120 Ha:H # 120 Confidence level = 95% Level of significance (a) = 1- 0.95 = 0.05 The value of the test statistic can be obtained as: x µ S
|
t =
S
111–120
1.7
30
= -28.9971
The test statistic value is -28.9971.
Step 3
The degree of freedom = n - 1= 30 – 1= 29
The p value of the test statistic at 29 degrees of freedom from the t value table is 0.00001 which
is less than level of significance therefore, the null hypothesis would reject and it can be
concluded that there is sufficient evidence to support the claim that the machine is not
working properly.
Transcribed Image Text:| t = S 111–120 1.7 30 = -28.9971 The test statistic value is -28.9971. Step 3 The degree of freedom = n - 1= 30 – 1= 29 The p value of the test statistic at 29 degrees of freedom from the t value table is 0.00001 which is less than level of significance therefore, the null hypothesis would reject and it can be concluded that there is sufficient evidence to support the claim that the machine is not working properly.
Expert Solution
Step 1

Given:

Test Statistics = -28.9971

degree of freedom =29

Obtained p value = 0.00001

 

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