The onesample t statistic for a test of Ho 0 Ha 0 based

The one-sample t statistic for a test of Ho : = 0 Ha : < 0 based on n=15 observations has the value t= 1.82 A) What are the degrees of freedom for this statistic? B) What is the P-value for this test? C) Is the level t=1.82 significant at the 5% level? Is it significant at the 1% level?

Solution

a)

df = n - 1 = 15 - 1

df = 14 [ANSWER]

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b)

As t = -1.82, left tailed, df = 14,

P = 0.045100872 [ANSWER]

[I assumed you used t = -1.82, since this is a left tailed test. Left tailed test have negative t values.

If you really mean t = 1.82, then P = 0.954899128.]

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c)

If you mean t = -1.82, YES, IT IS SIGNIFICNAT AT 0.05 LEVEL, as P < 0.05. [ANSWER]

NO, IT IS NO SIGNIFICANT AT 0.01 LEVEL, since P > 0.01. [ANSWER]

[If you really mean t = 1.82, it is not significant in both cases.]

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