A2. Supply responses T (true) or F (false) to each of the following:

_____(a) The (random) number of heads obtained in 60 flips of a bent coin can be described by the binomial probability law.

_____(b) If you flip a fair coin (p = 0.5) 100 times, you are more likely to get 48 heads than to get 52 heads.

_____(c) The standard deviation of the sample average increases as the sampleXsize n increases.

_____(d) The Central Limit Theorem allows us to claim, in certain cases, that the distribution of the sample average is approximately normally

Xdistributed.

_____(e) If the sample size n is 5 or more, the standard error of the mean is usually approximately equal to the unknown population .

_____(f) If the sample size is 30 or more, then the probability is at least 90% that the sample average will be less than the true-but-unknown population mean.

_____(g) If the sample size n is 5 or more, the standard deviation of the sample total exceeds the standard deviation of the sample average.

_____(h) 95% of the probability in a standard normal distribution is found between the values z = -1.96 and z = 1.96.

_____(i) The probability that the average of 20 values will be within 0.4 standard deviations of the population mean exceeds the probability that the average of 40 values will be within 0.4 standard deviations of the population mean.

_____(j) If is the average of n values sampled from a normal population withXmean , and if c is any positive number, then P[ > c ] increases asX

n gets large.