Answer:
Answers explained below
Step-by-step explanation:
Let X be the random variable that ages of pennies.
Also given that distribution of X is skewed to the right.
Given that,
mean = 7.4 years
standard deviation, sd = 3.3 years
Discuss the mean, standard deviation, and shape of the sampling distribution of sample means of the ages of pennies for each of the given sample sizes.
<u>For n = 5,
</u>
the mean of the sampling distribution of mean = 7.4
sd of the samplong distribution of mean = 3.3 / sqrt(5) = 1.48
Shape of the distribution is positively skewed.
<u>For n= 15
</u>
the mean of the sampling distribution of mean = 7.4
sd of the samplong distribution of mean = 3.3 / sqrt(15) = 0.85
Shape of the distribution is positively skewed.
<u>For n = 40
</u>
the mean of the sampling distribution of mean = 7.4
sd of the samplong distribution of mean = 3.3 / sqrt(40) = 0.52
Shape of the distribution is bell shaped or normal distribution.
