Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

(AP Statistics - Will give brainliest) The weight of apples at the grocery store follows a Normal distribution with a mean of μ = 5 ounces and a standard deviation of σ = 1 ounce. Suppose we pick nine apples at random from the basket and find their total weight, W. Which of the following statements describes the random variable W?

The random variable W is Normal, with a mean of five ounces and a standard deviation of one ounce.
The random variable W is Normal, with a mean of 45 ounces and a standard deviation of three ounces.
The random variable W is Normal, with a mean of five ounces and a standard deviation of three ounces.
The random variable W is binomial, with a mean of 45 ounces and a standard deviation of nine ounces.
The random variable W is binomial, with a mean of five ounces and a standard deviation of nine ounces.

Sagot :

MrRoyal

The random variable W is Normal, with a mean of 45 ounces and a standard deviation of three ounces.

How to describe the random variable?

The given parameters are:

  • Sample size, n = 9
  • Population mean, μ = 5 ounces
  • Standard deviation, σ = 1 ounce

The mean of the 9 apples is:

μ = 5 ounces * 9

This gives

μ = 45 ounces

The variance of the 9 apples is:

σ² = 1 ounces * 9

This gives

σ² = 9 ounces

Take the square root of both sides, to calculate the standard deviation.

σ = 3 ounces

Since, the variable W is normal; the description of the variable W is (b)

Read more about normal distribution at:

https://brainly.com/question/4079902

#SPJ1

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.