Q1. If a null hypothesis is rejected at a significance level of 0.01, it will ____________ be rejected at a significance level of 0.05

a. always

b. sometimes

c. never

Q2. Everything else being constant, increasing the sample size decreases the probability of committing a type II error.

True or False

Q3. The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution

True or False

Q4. The standard deviation of the sampling distribution of the sample mean is the same as the population standard deviation according to the Central Limit Theorem.

True or False

Q5. If a population is known to be normally distributed, then it follows that the sample standard deviation must equal population standard deviation.

True or False

Q6. For a hypothesis test about a population proportion or mean, if the level of significance is less than the p-value, the null hypothesis is rejected.

True or False

Q7. The power of a statistical test is the probability of not rejecting the null hypothesis when it is true.

True or False

Q8. The sample standard deviation is an unbiased estimator of the population standard deviation.

True or False

Q9. In a simple linear regression model, the coefficient of determination not only indicates the strength of the relationship between independent and dependent variable, but also shows whether the relationship is positive or negative.

True or False

Q10. If events A and B are independent, then P(A|B) is always equal to zero.

True or False