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: From the provided information, Mean (µ) = 195 cm Standard deviation (σ) = 8.9 cm Let X be a random…

Q: n for 25 randomly selected distances is greater than 203.20 cm. c. Why can the normal distribution…

A: Let X be the random variable such that reach distances of adult females. The overhead reach…

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: 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 195 cm and a…

A: The normal distribution is the most useful theoretical distribution for continuous variables.  For…

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 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 195 cm and a…

A: given data, normal distributedμ=195σ=8.6we have to find out the given probabilities.

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 195 cm and a…

A: Use excel formula "=NORM.S.DIST(1.1628, TRUE)" to find the probability.

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

A:

Q: Suppose that the mean value of interpupillary distance (the distance between the pupils of the left…

A: (3) Answer:- Given, Population mean, µ = 50 mm. Population standard deviation, σ = 2.5 mm.  Using…

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: According to the American Automobile Association, the average cost of a gallon of regular unleaded…

A:

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 200 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 200 cm and a…

A: The mean is 200 and the standard deviation is 8.

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

A: Given Information :  The overhead reach distances of adult females are normally distributed with…

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: Suppose the total cholesterol levels of all women 20 or older in U.S. have the average of μ=170μ=170…

A:

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: 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 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 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 205 cm and a…

A: Given that  Mean = M =  205 , Standard deviation = SD = 8.9

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

A: The provided information is  µ=205 cm σ=7.8 cm…

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 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: 1. According to a website the mean number of apps on a smartphone in the United States is 90. Assume…

A: See attached photo belowExplanation:For parts A-F : I draw all the steps in one normal curveIn your…

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

A: According to the given information, we have Mean = 195 Standard deviation = 7.8

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

A: The provided information is  µ=205 cm σ=7.8 cm…