You are testing H0: μ = 100 against Ha: μ < 100 based on an SRS of 21 observations from a Normal population. The data give x̄ = 9.1 and s = 3.6.
The value of the t statistic (±0.01) is _______
Solution :
Test statistic = t
= (
-
) / s /
n
= (9.1 - 100) / 3.6 /
21
= -115.71
t = -115.71
You are testing H0: μ = 100 against Ha: μ < 100 based on an SRS of 21 observations from a Normal population
You are testing H0:μ=100H0:μ=100 against Hα:μ<100Hα:μ<100 based on an SRS of 1717 observations from a normal population. The data gives ¯x=6.9x¯=6.9 and s=3.2s=3.2 . What is the value of the tt statistic? Provide your answer with precision to two decimal places. tt statistic:
You are testing H0: u=100 against HA: u>100 based on an SRS of 16 observations from a Normal population. The t-statistic is t = 2.13 1. The degrees for the t statistic are: A. 15 B. 16. C. 17 2. The p-value for the statistic in the previous exercise: A. falls between 0.05 and 0.10 B. falls between 0.01 and 0.05 C. is less than 0.01
3. You are testing H0: u 500 against Ha: u < 500 based on an SRS of 16 observations from a Normal population. The data give-=498 and s-4. The value of the t statistic is (c) 2 (b)4 (a) 16 500
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You are conducting a significance test of H0: μ = 5 against Ha: μ > 5. After checking the conditions are met from a simple random sample of 30 observations, you obtain t = 2.35. Based on this result, describe the p-value. The p-value falls between 0.15 and 0.2. The p-value falls between 0.025 and 0.05. The p-value falls between 0.01 and 0.02. The p-value falls between 0.005 and 0.01. The p-value is less than 0.005.
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