c. What is the probability that the sample mean will be between 39 and 48minutes?
5. The amount of bleach a machine pours into bottles has a mean of 36 oz. with astandard deviation of 0.15 oz. Suppose we take a random sample of 36 bottlesfilled by this machine. a. The probability that the mean of the sample exceeds 36.01 oz. is __________.
b. The probability that the mean of the sample is less than 36.03 is __________.
c. The probability that the mean of the sample is between 35.94 and 36.06 oz. is__________.
d. The probability that the mean of the sample is between 35.95 and 35.98 oz. is__________.
e. So, 95% of the sample means based on samples of size 36 will be between__________ and __________.
6. To use the normal distribution to approximate the binomial distribution, weneed ____ and ____ to be at least 5.
7. T Assume that house prices in a neighborhood are normally distributed withstandard deviation $20,000. A random sample of 16 observations is taken. Whatis the probability that the sample mean differs from the population mean by morethan $5,000?