3. The scores on a test approximate a normal distribution with a mean score of 72 and a standard deviation of 9. Approximately what percent of the student taking the test received a score greater than 90?

Q: B. The weights of crates of apples are normally distributed with a mean of 26.4 pounds and a…

A: Given: Population mean μ=26.4 Population standard deviation σ=3.1 Raw score (X) = 31.6

Q: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.…

A: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.

Q: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

A: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

Q: The scores on a psychology exam were normally distributed with a mean of 50 and a standard deviation…

A:

Q: What is the mean of a distribution that has a standard deviation of 16.5 if a PERFORMANCE value of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: consider a normal distribution with a mean of 500 and a standard deviation of 50. a. Below what…

A: Data given  X~N(μ=mean=500, standard deviation=σ=50)

Q: What percent of data points fall in the range of z=-1.5 and z=1.5 standard deviations of the mean

A: From the provided information, The range is between z = -1.5 to z = 1.5

Q: 3. Suppose the mean blood glucose of a population of adults is 162 with a standard deviation σ=58.…

A: Given that, n=36,μ=162σ=58 The mean and standard deviation of sample mean is,

Q: 1. The scores on a test have a mean of 100 and a standard deviation of 15. If a personnel manager…

A: Formula : Z =(X - μ)/σ

Q: 1. Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What…

A: Note: As per guidelines we are supposed to solve only 1 question at a time. Please repost the other…

Q: 4. The Fresha Tea Company pack tea in bags marked as 250 g. A large number of packs of tea were…

A: Let X denotes the weight of tea in a pack. We are given    μx=255  &  σx= 2.5 A pack will be…

Q: In a certain distribution of​ numbers, the mean is 80 with a standard deviation of 3. At least what…

A:

Q: Given that a set of scores have a normal distribution, a mean of 74, and a standard deviation of 5:…

A:

Q: In a population with mean 50 what standard deviation score would have a score of X=45

A:

Q: Suppose that your class took a test and the mean score was 86% and the standard deviation was 4%.If…

A: It is given that the mean is 86 and standard deviation is 4.

Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: Suppose you have a set of observations that follow a normal distribution with a mean  μ   and…

A: Solution-: Let, X= be the random variable Given: mean=μ,SD=σ We find, (a) P[X-μ<1.75σ]=? (b)…

Q: If the mean is 8, then the mean absolute deviation of the scores 10 9 3 8 10 is?

A: Given mean (μ) = 8 Then Mean Absolute Deviation is given by  1n∑xi-μ

Q: 2. Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean…

A: Given that, Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If…

Q: A normal distribution has a mean of 60 and a standard deviation of 20. Barbara's score is 40. What…

A: It is given that the Normal distribution has a mean 60 and a standard deviation of 20.  Suppose X be…

Q: A data set with roughly a bell-shaped distribution has mean 45 and standard deviation 12.…

A: The percentage of the observations lie between 33 and 57 is obtained below:Let X be an observation…

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Given Information: If a distribution of test scores is normal, with a mean of 78 and a standard…

Q: 1. Assume that the IQ scores of SHS students in The College of Maasin follow a normal distribution…

A:

Q: The test scores for a very large statistics class have a bell-shaped distribution with a mean of 72…

A: We have given that  X~N(mu, sigma^2) mu = 72  Z-score =(x-mu )/sigma

Q: Suppose that the price of an item is normally distributed with a mean of 50 and a standard deviation…

A:

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…

A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08   X~ Normal μ, σ2   To…

Q: 19. If the mean is 19 and a standard deviation is 3.7 for a normally distributed variable, what is…

A: Here we need to find the z score corresponding to 14.9.

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: If a distribution of test scores is normal, Mean = 78 Standard deviation = 11

Q: 4. Assuming a standard normal distribution, if the mean of a set of da the standard deviation was 8,…

A: Note: According to Bartleby guidelines, expert solve only one question and maximum 3 subpart of the…

Q: Suppose the distribution of typing speeds in words per minute for experienced typists can be…

A:

Q: A quantitative data set has mean 19 and standard deviation 2. Approximately what percentage of the…

A: Given that, A quantitative data set with, Mean = 19 Standard deviation = 2

Q: Suppose x is a value in a normal distribution, with a mean of 12, and standard deviation of 4, What…

A: Given: x=4μ=12σ=4 The z score of x=4 is obtained as follows: Z=x-μσ=4-124=-84=-2 Thus, the z-score…

Q: If a normal distribution has a mean of 18.0 and a standard deviation of 1.2, what value is at the…

A: We have given that normal distribution has a mean of 18.0 and a standard deviation of 1.2.

Q: The mean in a given set of data is 10.00 and the population standard deviation is 2.50. If the data…

A: The kth percentile implies the value, below which k of the total observations lie.

Q: If the mean of p hat equals 0.28 and the standard deviation of p hat is 0.07, what is the percent of…

A:

Q: A quantitative data set has mean 15 and standard deviation 2. At least what percentage of the…

A: It is given that the mean is 15 and standard deviation is 2.

Q: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: 9. Given that IQ scores are approximately normally distributed with a mean of 100 and standard…

A:

Q: The data set has mean 30 and standard deviation 4. Approximately what percentage of the observations…

A: The provided information are: Population mean (µ) = 30 Population standard deviation (σ) = 4

Q: A data set is normally distributed with a mean of 6363 and a standard deviation of 10.4.10.4. What…

A: Let X be the data value which follows normal distribution with mean 63 and standard deviation 10.4.…

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: A normally distributed data set has a mean of O and a standard deviation of 2. What is the percent…

A:

Q: 3. The annual per capita consumption of ice cream (in pounds) in the Philippines can be approximated…

A:

Q: The data set has mean 15 and standard deviation 2. Approximately what percentage of the observations…

A:

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of…

A:

Q: 16. Suppose that the vehicle speeds at an interstate location have a normal distribution with a mean…

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: In a distribution with a mean of 80 and a standard deviation of 8, what percentage of number would…

A: a. The mean is 80, and standard deviation is 8. The percentage of number would be less than 64 or…

Q: What proportion of a normal distribution corresponds to z scores greater than -0.82?   Question 10…

A: According to the given information, we have Z score = -0.82 (Right tailed)

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.