Answer:
Step-by-step explanation:
Given that a study A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 20.3 pounds and a standard deviation of 3.7 pounds
Sampling is done for 94 people
According to central limit theorem if random samples are taken for large sizes, the sample mean would follow a normal distribution with mean = population mean.
Hence expected mean value of the sampling distribution = 20.3 ±margin of error
provided samples are drawn at random
Margin of error for 95% = 1.96(3.7/sqrt 106) =0.704
Hence mean of sample would lie between
(19.596, 21.004)
= (19.60,21.00)