Question

The population proportion of success is 5% and the intended sample size is n=220n=220. Before drawing a sample from the population, you first want to describe the expected sampling distribution for the sample proprtion.  Give answers in decimal format (as opposed to fractions or percentages).

Give the mean for the distribution of sample proportions:
       μˆp=μp^=

Give the standard deviation for the distribution of sample proportions:
       σˆp=σp^=

Classify the shape of the distribution of sample proportions in this context:

• not normal
• nearly normal

On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 401 pounds and a standard deviation of 66 pounds. The cow transport truck holds 7 cows and can hold a maximum weight of 3080. If 7 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 3080? (This is the same as asking what is the probability that their mean weight is over 440.)

Answer 1