Question

Asked Oct 26, 2019

Assume that a national fitness study reports that 5% of millenials exercise daily. Suppose that a researcher surveys a random sample of 300 millenials regarding their daily exercise habits. Assume that X is a binomial random variable that represents the number of millenials in the sample who exercise daily.

Compute the mean μ and standard deviation σ of the sampling distribution of X. Report μ as a whole number and σ as a decimal precise to two decimal places.

Step 1

**Solution: **We are given that a random variable X that represents the number of millenials in the sample who exercise daily follows binomial distribution.

Also we are given that 5% of millenials exercise daily and that a researcher surveys a random sample of 300 millenials regarding their daily exercise habits.

Therefore, we have:

Step 2

We are required to find the mean μ and standard deviation σ of the sampling distribution of X.

We know that the mean and standard deviation of binomial distribution and is given below:

Step 3

Therefore, the mean μ and standard deviation σ o...

Tagged in

Q: Will you show me step by step how to answer this?

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows...

Q: Identify the parameter n in the following binomial distribution scenario. A basketball player has a ...

A: Solution:Binomial distribution:The binomial distribution gives the probability of number of successe...

Q: ________ breaks down the primary question into sub-problems and makes the primary question testable....

A: Primary question:In research project, primary questions represent the entire reason for the study. T...

Q: The number of 911 calls in Butte, Montana, has a Poisson distribution with a mean of 10.0 calls a da...

A: The Poisson distribution:A discrete random variable X is said to have a Poisson distribution with pa...

Q: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as t...

A: From the given information the p-value is 0.026. Assume the level of significance as 0.05. the claim...

Q: Identify the appropriate level of measurement represented in each of the following questionnaire ite...

A: A categorical variable represents data types that can be split into groups. There are two types of C...

Q: In a sample of 250 student GPAs, the mean is 3.25 with a standard deviation of 0.22. Use the Empiric...

A: From the given information, there are 250 student GPAs with the sample mean 3.25 and the standard de...

Q: A special deck of cards has 5 green cards , and 3 yellow cards. The green cards are numbered 1, 2, 3...

A: According to the provided data, there are 5 green cards and 3 yellow cards.The green cards are numbe...

Q: Nielsen Media Research identified Empire and the Big Bang theory as the two top-ratedprime-time tele...

A: The null and alternative hypothesis are shown below:H0: p = 0.50.That is, there is no difference in ...