memepage736
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

HI HELP PLEASE
The height of female students in Cromartie High is normally distributed. If 95% of females are
between 57.6 and 70.4 inches tall centered about the mean, find the average height and standard
deviation for female students at Cromartie High.

HI HELP PLEASE The Height Of Female Students In Cromartie High Is Normally Distributed If 95 Of Females Are Between 576 And 704 Inches Tall Centered About The M class=

Sagot :

Using the Empirical Rule, it is found that the mean is of 64 inches and the standard deviation is of 3.2 inches.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, hence the mean is given by:

M = (57.6 + 70.4)/2 = 64.

57.6 is two standard deviations below the mean, hence the standard deviation is found as follows:

57.6 = 64 - 2s.

2s = 6.4

s = 3.2.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.