The weight of the eggs produced by a certain breed of hen is Normally distributed with mean 62 grams (g) and standard deviation 4 grams. Calculate the probability that 12 randomly selected eggs have an average weight between 62 g and 65 g. Explain how the Normality check is met for this problem.

a
It’s reasonable to believe that this breed of hen has produced more than 120 eggs.
b
The Normality check is met because n > 30.
c
The Normality check is met because the population of egg weights is Normal.
d
None of the above statements are true.
Question 4 (1 point)
Companies are interested in the demographics of those who listen to the radio programs they sponsor. Previous data found for a particular radio show found that 30% of listeners were female. The radio station collects data from an SRS of 200 listeners to see if they’ve been able to increase the proportion of female listeners. Assuming that the true proportion of female listeners is still 30%, what is the mean for the sampling distribution of p-hat?

Answer =

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Question 5 (1 point)
Companies are interested in the demographics of those who listen to the radio programs they sponsor. Previous data found for a particular radio show found that 30% of listeners were female. The radio station collects data from an SRS of 200 listeners to see if they’ve been able to increase the proportion of female listeners. Assuming that the true proportion of female listeners is still 30%, what is the standard deviation of the sampling distribution of p-hat? Round your answer to 3 decimal places.

Answer =

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Question 6 (1 point)
Companies are interested in the demographics of those who listen to the radio programs they sponsor. Previous data found for a particular radio show found that 30% of listeners were female. The radio station collects data from an SRS of 200 listeners to see if they’ve been able to increase the proportion of female listeners. In the sample, 80 of the 200 listeners were female. Assuming that the true proportion of female listeners is still 30%, how likely would it be to obtain these results? Round your answer to 3 decimal places.

Answer =

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Question 7 (1 point)
Companies are interested in the demographics of those who listen to the radio programs they sponsor. Previous data found for a particular radio show found that 30% of listeners were female. The radio station collects data from an SRS of 200 listeners to see if they’ve been able to increase the proportion of female listeners. In the sample, 80 of the 200 listeners were female. Does this provide sufficient evidence to suggest that the proportion of female listeners has increased from 30%?

a
Yes, it is very unlikely that we would obtain this data if only 30% of listeners are female.
b
No, these results are likely due to random chance.
c
There is no way to tell with this information.