Question

(a) Holding all other values constant, increasing the sample size increases the power of a hypothesis test. (True/False)

(b) If a 95% confidence interval (CI) for μ is (52, 58), then 95% of the population values are between 52 and 58. (True/False)

(c) If the population distribution (X dist.) is normal, then the sampling distribution of X̅ is normal for a random sample of
any size. (True/False)

(d) A 95% confidence interval for μ was computed to be (30, 35). The margin of error equals 5. (True/False)

(e) If the null hypothesis is not rejected, there is strong evidence that the null hypothesis is true. (True/False)

(f) Holding all other values constant, decreasing alpha (α) increases the power of a hypothesis test. (True/False)

(g)If samples are selected from the same population, the quantities X̅ and S will vary from sample to sample. (True/False)

Answer 1

(a) Holding all other values constant, increasing the sample size increases the power of a hypothesis test.

TRUE

(b) If a 95% confidence interval (CI) for μ is (52, 58), then 95% of the population values are between 52 and 58.

TRUE

(c) If the population distribution (X dist.) is normal, then the sampling distribution of X̅ is normal for a random sample of
any size.

FALSE

This holds for sample size > 30

(d) A 95% confidence interval for μ was computed to be (30, 35). The margin of error equals 5.

FALSE

The margin of error is 5/2 = 2.5

(e) If the null hypothesis is not rejected, there is strong evidence that the null hypothesis is true.

FALSE

If the null hypothesis is not rejected, there is strong evidence that the null hypothesis is false

(f) Holding all other values constant, decreasing alpha (α) increases the power of a hypothesis test.

FALSE

(f) Holding all other values constant, decreasing alpha (α) decreases the power of a hypothesis test.

(g)If samples are selected from the same population, the quantities X̅ and S will vary from sample to sample.

TRUE