In an exam attended by 1000 people, the average of the grades is 60 and the standard deviation is 14.7, showing a normal distribution. 55 samples of n=25 people were taken from this population to the returned lottery. How many of these 55 samples averaged in the range of [57-59]. 5- O a) 16 O B) 42 O C) 32 O D) 21 O TO) 12

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A: Given,n=15∑ix.f=110∑ix2 .f=1235

Q: A sampie of size n=90 is drawn from a population whose standard deviation is o = 12.

A: Given,standard deviation(σ)=12sample size(n)=90α=1-0.99=0.01α2 =0.005z0.005 =2.58

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A:

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A: 11) a) Given information: μ6=45.8, σ6=1.4μ14=64.3, σ14=2.8 x6 = 47 By applying normal distribution:-…

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A: Givenn=25standard error=2

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A: a) Given,n=36σm=12σ=?σm=σn12=σ36σ=72

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Q: What is the standard deviation of the he final exam grade distribution for all students in the…

A: Given grade (x) probability (p)  x*p x2  x2 *p 0 0.03 0 0 0 1 0.08 0.08 1 0.08 2 0.17 0.34…

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A: The number of classes is given by Sturge's formula n=1+3.322log(N)=1+3.322*log(100)=7.644≈8 Interval…

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Q: IS 37,764. Assume a normal distribution with o=$510 alation and the correction factor can be…

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Q: The appropriate interval width for a random sample of 100 observations that fall between 50 and 250…

A: We find the number of intervals using the Sturge's formula n=1+3.322log(n)=1+3.322*log(100)=7.644≈8…

Q: 19. The standard deviation of, known as the standard error of thể 0.5477 b. 0.0547 5.477 a. C. d.…

A: We have given that  Sample proportion p^= 40%=0.40 Sample size n=80

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A: Emeperical rule  P(u-3σ <X<u+3σ )=99.7% P(u-2σ <X<u+2σ )=95% P(u-σ <X<u+σ )=65%

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A: From the provided information, The mean of the data values 1, 2, 5, 6 can be obtained as:

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A: GivenMean(μ)=67standard deviation(σ)=6

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Q: If an entire population with μ = 60 and o = 8 is transformed into z-scores, then the distribution of…

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Q: e that the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: Mean =63.6Standard deviation = 2.5Sample size = 100

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A: According to our guidelines we can answer only three subparts and rest can be repost.

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Q: For a sample of n=16 scores, what is the value of the population standard deviation (o) necessary to…

A: Given, n = 16 a) σm = 8 σm = σn8 = σ16σ = 8 * 4σ = 32

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Q: Jumbo shrimp are those that require 10 to 15 shrimp to make a pound. Suppose that the number of…

A: From the information, the number of jumbo shrimp in a 1-pound bag averages m = 12.5 witha standard…

Q: For a normally distributed population with a mean of u = 70 and a standard deviation of o = 10, what…

A: According to the given information, we have Mean = 70 Standard deviation = 10 Sample size, n = 64