Question

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.5 pounds and a standard deviation of 6.9 pounds.

1a) If a sampling distribution is created using samples of the amounts of weight lost by 62 people on this diet, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.

1b) If a sampling distribution is created using samples of the amounts of weight lost by 62 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

2) Suppose the horses in a large stable have a mean weight of 1128lbs, and a standard deviation of 58lbs. What is the probability that the mean weight of the sample of horses would be greater than 1136lbs if 37 horses are sampled at random from the stable? Round your answer to four decimal places.

3) Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.9 and a mean diameter of 200 inches. If 78 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 199.8 inches? Round your answer to four decimal places.

4) Suppose cattle in a large herd have a mean weight of 1228lbs and a variance of 8100. What is the probability that the mean weight of the sample of cows would differ from the population mean by less than 9lbs if 115 cows are sampled at random from the herd? Round your answer to four decimal places.

Answer 1