question archive 1) Suppose X has a normal distribution and you run a hypothesis test with Ho: u = 8 and Ha: u > 8
1) Suppose X has a normal distribution and you run a hypothesis test with Ho: u = 8 and Ha: u > 8
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1) Suppose X has a normal distribution and you run a hypothesis test with Ho: u = 8 and Ha: u > 8. You collect a random sample of n = 11 values, and you find your test statistic is t = 2.50. What two values does the p-value lie between on the t-table?
2) Suppose X has a normal distribution and you run a hypothesis test with Ho: u = 8 and Ha: u not equal to 8. You collect a random sample of n = 11 values, and you find your test statistic is t = 2.50. What two values does the p-value lie between on the t-table?
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Answer:
1) ->
Degree of freedom = n - 1 = 11 - 1 = 10
Test statistics (t) = 2.50
From the t-distibution table,
P(t10 > 2.228) = 0.025
P(t10 > 2.764) = 0.01
Note: Since this is one tailed test, we should see the p-value corresponding to one-tail.
Hence p-value lies between 0.01 and 0.025.
2) ->
Degree of freedom = n - 1 = 11 - 1 = 10
Test statistics (t) = 2.50
From the t-distibution table,
P(t10 > 2.228) = 0.05
P(t10 > 2.764) = 0.02
Note: Since this is two tailed test, we should see the p-value corresponding to two-tail.
Hence p-value lies between 0.02 and 0.05.
T-distribution table
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