12.  The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 214.80 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 204.20 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A:

Q: - Using a significance level of a = 0.10, find the critical value(s). . Should we reject Ho or…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a…

A: given mean =197.5cmstandard deviation =8.3the sample size n=25it follows normal distribution the…

Q: a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the…

A: Given X=212.50 Mean=200 Standard deviation=8.9

Q: 4. Assume the annual snowfall in the village of Thalhammer follows a normal distribution with a mean…

A: Given Mean = 185 cm and standard deviation = 36 cm

Q: a. Find the probability that an individual distance is greater than 217.50 cm. b. Find the…

A: a. The random variable X defined as the distances of adult females which follows the normal…

Q: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a…

A: The question is about normal dist. Given : Popl. mean distance ( μ ) = 197.5 cm Popl. std. deviation…

Q: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a…

A: Mean()=197.5standard deviation()=8.9

Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…

A: a. Probability that an individual distance is greater than 217.5 cm: The probability that an…

Q: The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a…

A: Given ,μ = 197.5 , σ = 8.3 Z = x-μσ~N(0,1)

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: Mean = 200 Standard deviation = 7.8

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cr and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A: Consider that X is a random variable defined as the overhead reach distance of adult.

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A: Given : Population Mean,μ = 202.5 Population Standard Deviation,σ = 7.8

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A: Normal distribution is the type of continuous distribution. It distribute the data in bell shaped…

Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…

A: Given : μ = 205 σ = 8.6

Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5cm and a…

A: a.Suppose the random variable x defines the overhead reach distance of an adult female.

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A:

Q: A variable of a population has a mean of µ = 82 and a standard deviation of G = 18. a. Identify the…

A:

Q: a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four…

A: It is given that  Mean = 200 Standard deviation = 7.8 Sample size = 25

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A: Step 1: Given informationMean = 205.5Standard deviation = 7.8The distribution is normal probability…

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A: Given that Mean =195  Standard deviation =8.6  We have to find a... Probability that an individual…

Q: probability that the mean for 25 randomly selected distances is greater than 200.30 cm. the normal…

A: Given Mean=202.5cm Standard deviation =8.6cm

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A: Mean = 195 Standard deviation = 8

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A: Consider a random variable X, defined that  then the z-score for X is, For a sample of size n, the…

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A: Assume, X be the random variable representing overhead reach distances (in cm) of adult females It…

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A: given data  normal distributionμ =202.5σ = 7.8

Q: 14. The salaries of employees in a large company are normally distributed with a mean of $s0,000 and…

A: We have, Mean μ = $50000 and Standard deviation σ = $4000     Z-Score formula:  Z = (X – μ)/σ

Q: he overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A: Let, X denotes overhead reach distances of adult females mean = μ = 202.5  standard deviation = σ =…

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…

A: a. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A: (a)   Obtain the probability that an individual distance is greater than 215.00 cm.   The…

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: The known values are, μ=200,σ=8.3,n=20 (a) The probability that an individual distance is greater…

Q: he overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A:

Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…

A: Since the total area under the normal curve is 1. therefore area to the left of z=1.6145 under the…

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: Mean()=200standard deviation()=8.6

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A: μ=205.5, σ=8 Scores are Normally distributed.

Q: The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a…

A: Given data, mean =  = 205 standard deviation =  = 8.3

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: From the provided information, Mean (µ) = 200 Standard deviation (σ) = 7.8 X~N (200, 7.8) Here X be…

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A: Given that, Mean() = 205.5standard deviation () = 7.8X ~ N ()= N(205.5,7.8)