Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. If a random sample of 35 football players is taken, what is the probability that that the random sample will have a mean more than 210 pounds?

Sagot :

We know that

• The mean is 200 pounds.

,

• The standard deviation is 25 pounds.

,

• The random sample is 35.

First, let's find the Z value using the following formula

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

Let's replace the mean, the standard deviation, and x = 210.

[tex]Z=\frac{210-200}{25}=\frac{10}{25}=0.4[/tex]

Then, using a p-value table associated with z-scores, we find the probability

[tex]P(x>210)=P(Z>0.4)=0.1554[/tex]

Therefore, the probability is 0.1554.

The table used is shown below

View image MariameX717450
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.