RNR 2102 Statistics
The mean is a measure of the distribution's: - CORRECT ANSWER-center
The variance is a measure of the distribution's: - CORRECT ANSWER-spread
What is the Central Limit Theorem? - CORRECT ANSWER-1) x ~ any
distribution (µ, ∂^2)
2) as n->∞, x(bar)~N (µ, (∂^2)/n)
What is the significance of the Central Limit Theorem? - CORRECT
ANSWER-good for large samples; X bar is normal; can do t or z statistical test
What is the difference between Accepting H0 and Failing to Reject H0? -
CORRECT ANSWER-we fail to reject the null because there is not enough
evidence for it to be rejected, not because it is true
If you fail to reject the null hypothesis, what else can you do be able to reject H0
at the same α level? - CORRECT ANSWER-a one-tailed t-test
True/False? For a two-tailed test, the null hypothesis is rejected when
|tcalculated| < ttabulated - CORRECT ANSWER-False
True/False? When the 95% confidence interval for µ contains c, a test if µ = c will
be rejected at the 5% level. - CORRECT ANSWER-False
At the same α level, it is ________ (easier, more difficult) to reject H0 for a
one-tailed test as compared to a two-tailed test - CORRECT ANSWER-easier
For a two-tailed test, if the critical t value from the t-table is 2.01, and the
calculated t value is -2.34, then we should ______ (reject, fail to reject) the null
hypothesis. - CORRECT ANSWER-reject
A sample of 41 catfish was caught, and the average length is 16.1 inches. If the
variance is 30, perform the 5% test that the average length is equal to 14.5
inches. - CORRECT ANSWER-fail to reject
The mean is a measure of the distribution's: - CORRECT ANSWER-center
The variance is a measure of the distribution's: - CORRECT ANSWER-spread
What is the Central Limit Theorem? - CORRECT ANSWER-1) x ~ any
distribution (µ, ∂^2)
2) as n->∞, x(bar)~N (µ, (∂^2)/n)
What is the significance of the Central Limit Theorem? - CORRECT
ANSWER-good for large samples; X bar is normal; can do t or z statistical test
What is the difference between Accepting H0 and Failing to Reject H0? -
CORRECT ANSWER-we fail to reject the null because there is not enough
evidence for it to be rejected, not because it is true
If you fail to reject the null hypothesis, what else can you do be able to reject H0
at the same α level? - CORRECT ANSWER-a one-tailed t-test
True/False? For a two-tailed test, the null hypothesis is rejected when
|tcalculated| < ttabulated - CORRECT ANSWER-False
True/False? When the 95% confidence interval for µ contains c, a test if µ = c will
be rejected at the 5% level. - CORRECT ANSWER-False
At the same α level, it is ________ (easier, more difficult) to reject H0 for a
one-tailed test as compared to a two-tailed test - CORRECT ANSWER-easier
For a two-tailed test, if the critical t value from the t-table is 2.01, and the
calculated t value is -2.34, then we should ______ (reject, fail to reject) the null
hypothesis. - CORRECT ANSWER-reject
A sample of 41 catfish was caught, and the average length is 16.1 inches. If the
variance is 30, perform the 5% test that the average length is equal to 14.5
inches. - CORRECT ANSWER-fail to reject
