In testing H0:μ=77 versus Ha:μ≠77 for some population, a random sample of 17 observations from a normally distributed population with unknown standard deviation yielded a test statistic of 2.638. The p-value for this test is
Select one:
a. 0.0041
b. between 0.005 and 0.010
c. between 0.01 and 0.02
d. 0.0082
e. impossible to determine based on the given information.
Solution :
The null and alternative hypothesis is ,
H0 : = 77
Ha : 77
This is the two tailed test,
Test statistic = t = 2.638
n = 17
degrees of freedom = n - 1 = 17 - 1 = 16
P(t > 2.638) = 1-P (t < 2.638) = 1 - 0.9910 = 0.0090
P-value = 2 * P(t > 2.638)
P-value = 2 * 0.0090
P-value = 0.0180
c. between 0.01 and 0.02
In testing H0:μ=77 versus Ha:μ≠77 for some population, a random sample of 17 observations from a...
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