Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.