Question

Weights of wrestlers are normally distributed with an average weight 177 pounds and a standard deviation...

Weights of wrestlers are normally distributed with an average weight 177 pounds and a standard deviation of 35 pounds. An researcher gathers a group of 64 people to conduct a study. What is the probability that the average weight of the group will be less than 182 pounds?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 177

standard deviation = = 35

n = 64

= 177

= / n =35 / 64 = 4.375

P( < 182 ) = P(( - ) / < (182-177) /4.375 )

= P(z < 1.14 )

= 0.8729

Probability =0.8729

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7...
The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 bowling balls is selected. What is the probability that the average weight of the sample is less than 11.03 pounds?
The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7...
The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 bowling balls is selected. What is the probability that the average weight of the sample is less than 11.32 pounds? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.
The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7...
The weights of bowling balls are normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. A sample of 36 bowling balls is selected. What is the probability that the average weight of the sample is less than 11.27 pounds? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage. Please explain how to use Ti-84 Plus CE with this
Assume that the men's weight is normally distributed with an average of 172 pounds and a...
Assume that the men's weight is normally distributed with an average of 172 pounds and a standard deviation of 29 pounds. to. Define a variable b. Associate the random variable with a distribution and its parameters c. If a man is selected at random, what is the probability that his weight is greater than 175 pounds? (minitab) D. If a sample of 20 men is chosen at random. What is the probability that the average weight is greater than 175...
Assume that the weights of Lahontan Cutthroat Trout are normally distributed with a population mean weight...
Assume that the weights of Lahontan Cutthroat Trout are normally distributed with a population mean weight of 5 pounds and a standard deviation of 1.2 pounds. (a) What is the probability of catching a fish that weighs less than 4.5 pounds? (b) What is the probability of catching a fish that weighs greater than 5.25 pounds? (c) What is the probability of catching a fish that weighs between 4.5 and 5.25 pounds?
Weights of puppies are approximately normally distributed with a mean (μ )of 42.6 pounds and standard...
Weights of puppies are approximately normally distributed with a mean (μ )of 42.6 pounds and standard deviation ( δ ) of 5.8 pounds. Let X be the weight of a puppy. What is the probability that: a) X < 43 b) X > 42 c) 40 < X <44 Find the weight of a puppy with Z score: d) Z = − 1.52 e) Z = 0.68
​1) X is normally distributed with a mean of 60 and a standard deviation of 12....
​1) X is normally distributed with a mean of 60 and a standard deviation of 12. ​​a) Find the probability that X is less than 42 ​​b) Find the probability that X is more than 70. ​2) Weights of Yellow Labradors are normally distributed with a mean of 55 pounds and a standard ​​deviation of 6.2 pounds. What proportion of Yellow Labradors weigh between 50 and 60 pounds?
Assume that the average weight of an NFL player is 245.7 pounds with a standard deviation...
Assume that the average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but the probability distribution is unknown. a. if a random sample of 32 NFL players is selected, what is the probabilty that the average weight of the sample sill be less than 234 pounds? b. If a random sample of 32 NFL players is selected, what is the probability that the average weight of the sample is between 248 and 254...
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and...
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1200lbs. Find the probability that the weight of a randomly selected steer is greater than 1479lbs. Round your answer to four decimal places.
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs200⁢lbs and...
The weights of steers in a herd are distributed normally. The standard deviation is 200lbs200⁢lbs and the mean steer weight is 900lbs900⁢lbs. Find the probability that the weight of a randomly selected steer is greater than 579lbs579⁢lbs. Round your answer to four decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT