50 people are randomly selected and the accuracy of their wristwatches is checke
ID: 3072936 • Letter: 5
Question
50 people are randomly selected and the accuracy of their wristwatches is checked, with positive errors representing watches that are ahead of the correct time and negative errors representing watches that are behind the correct time. The 50 values have a mean of 104sec and a standard deviation of 166sec. Use a 0.01 significance level to test the claim that the population of all watches has a mean of 0sec.
The test statistic is :
The P-Value is:
The final conclustion is : A. There is not sufficient evidence to warrant rejection of the claim that the mean is equal to 0 B. There is sufficient evidence to warrant rejection of the claim that the mean is equal to 0
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 0
HA : 0
Hypothesis test results:
Hence,
Test statistic = 4.4301
p - Value = 0.0000
Conclusion: There is sufficient evidence to warrant rejection of the claim that the mean is equal to 0. Option B is correct.
Mean Sample Mean Std. Err. DF T-Stat P-value 104 23.475945 49 4.4300666 <0.0001Related Questions
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