(a) In general, higher confidence levels provide unbiased estimates. (b) The margin of error in an interval estimate of the population mean is a function of sample size, variability of the population, and level of significance. (c) If the null hypothesis is rejected in hypothesis testing, the sample size must have been too small. (d) The probability that the continuous random variable takes on exactly a specific value is zero. (e) A positive value of z indicates that the data has a negative mean. (f) The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the same as level of significance. (g) The closer the sample mean is to the population mean, the larger the sampling error. (h) If the null hypothesis is rejected at the 5% level of significance, it will always be rejected at the 10% level. (i) The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the probability theory. (j) In order to compute the p-value, the level of significance does not need to be known.
Determine each of the following statements is True or False.
(a) In general, higher confidence levels provide unbiased estimates.
(b) The margin of error in an interval estimate of the population mean is a
variability of the population, and level of significance.
(c) If the null hypothesis is rejected in hypothesis testing, the sample size must have been too small.
(d) The
(e) A positive value of z indicates that the data has a negative mean.
(f) The probability that the
contain the actual value of the population parameter being estimated is the same as level of
significance.
(g) The closer the sample mean is to the population mean, the larger the sampling error.
(h) If the null hypothesis is rejected at the 5% level of significance, it will always be rejected at the
10% level.
(i) The fact that the sampling distribution of sample means can be approximated by a normal
probability distribution whenever the sample size is large is based on the probability theory.
(j) In order to compute the p-value, the level of significance does not need to be known.
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