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Please answer all questions 10. You are testing H 0 : = 100 against H a : < 100

ID: 1123966 • Letter: P

Question

Please answer all questions

10. You are testing H0: = 100 against Ha: < 100 based on an SRS of 17 observations from a Normal population. The t statistic is 2.9.


The degrees of freedom for this statistic are  

11. You are testing H0:=100H0:=100against Ha:<100Ha:<100with degrees of freedom of 24. The t statistic is 2.15.


The P-value for the statistic falls between __and___ .

12. You have an SRS of 15 observations from a Normally distributed population.


What critical value (±0.001) would you use to obtain a 99% confidence interval for the mean of the population

Explanation / Answer

Solution:-

10) Since population distribution is normal. So given sample size of 17, the degree of freedom is = (n-1) = 17-1 = 16

11) Degree of freedom = 24

t statistic = 2.5

The P-value is given by = 0.042 (for two tail) and 0.021 (for one tail) at 0.05 level of significance.

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