Find the area, square unit, to the nearest thousandth of the standard deviation between the given z-scores. Z equals 1.12 and z equals 1.73.

Q: the manager of a small dry cleaner employs six people. as part of their personal file, she asked…

A: Given data 12.7,  24.5, 40.4, 30.8, 22.5, 15.6

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: given data, normal distribution , μ=100σ=15we have to find out the shaded region for the given…

Q: Find the z-score for the value 62, when the mean is 56 and the standard deviation is 2. O A. z=3.00…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Suppose you select a sample of 2,000 high school seniors' verbal SAT scores. The mean and standard…

A:

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: At the shot put event the mean was a throw of 44.22 feet, with a standard deviation of 3.65 feet.…

A:

Q: Find the z-score for the value 82, when the mean is 98 and the standard deviation is 3. OA. 2= -567…

A: From the provided information, Mean (µ) = 98 Standard deviation (σ) = 3 X~N (98, 3)

Q: Find the​ z-score for the value 87​, when the mean is 82 and the standard deviation is 8. A. z=−0.96…

A: Given,mean(μ)=82standard deviation(σ)=8and the value(x)=87

Q: Mean 255, x is 230 and z score is -2 find standard deviation

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Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Let X be IQ score  from normal distribution with mean (μ) = 100 and standard deviation (σ) = 15

Q: At McMeck High School they decided to calculate the average GPA of all 950 students.  The average…

A:

Q: You are estimating the mean size of farms in New Hampshire.  You want your 95% CI to have a margin…

A: The formula for the sample size is as follows:

Q: A medical lab tested a sample of 8 vials of blood for acidity on the pH scale.  Use this data to…

A:

Q: a bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean…

A: We have to find 60th percentile.

Q: In the following cases, show that the p.d.f. of Y is not a member of complete family. 1. Y: N (0,…

A: A test statistic is said to belong to the family of completeness only when it follows the conditions…

Q: Calculate the average (mean) of the data shown, to two decimal places x 29.2 4 9.9 5.9 21.4

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Q: Tom scored a 125 on a measure of math ability and a 42 on a measure of verbal ability.The means and…

A:

Q: The mean score on the ACT test was 23.7 and the standard deviation was 5.8. The distributions of…

A: Given: Mean = μ = 23.7 Standard deviation = σ = 5.8

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: normal distribution μ = 100σ = 15 P(85<x<110) = ?

Q: Which of the following z scores are above the mean? Choose all that apply.     0     1.35…

A: For normal distribution, the mean is equal to 0

Q: A distribution of values is normal with a mean of 235 and a standard deviation of 14.4. Find P63,…

A:

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: What proportion of z scores lie between -3 and +3 in the height in inches data set

A: We have to calculate P(-3 < Z < 3)

Q: what percent of the total population is found between the mean and the z-score given? z=3.58

A: We have given that. Standard normal.  X~N( 0 , 1 )   μ =0  , ? =1   Z-score =( x - μ )/?   z= 3.58

Q: Apply Chebyshev’s rule to solve Exercises. A quantitative data set has size 80. At least how many…

A: The size of the data set is 80.

Q: The amount of sodium was measured for a sample of 30 different breakfast cereals.  The sample mean…

A: Givensample size(n)=30Mean(x¯)=220standard deviation(s)=77x=408

Q: A distribution of values is normal with a mean of 204.2 and a standard deviation of 39.2. Find P84,…

A: Given: A distribution of value is normal with mean of 204.2 A standard deviation of 39.2 It is…

Q: The average number of strawberries that come in a pint is 27.9, with a standard deviation of 7.8.…

A:

Q: The manager of a department store wants to estimate the average amount of money a customer will…

A:

Q: Test Score Frequency 90 80 4 70 60 6 50 3

A:

Q: For each item, show ALL calculations. High density lipoprotein (HDL) in healthy males follows a…

A:

Q: . A survey by the National Retail Federation found that women spend on average R146.on a Saturday…

A: given data normal distributionμ = 146σ = 29.44P(x<190)= ?

Q: Mean is 235, standard deviation is 52, what is the percentile of a raw score of 28

A: Mean Standard deviation

Q: At McMeck High School they decided to calculate the average GPA of all 950 students. The average GPA…

A: Given data, n = 950 x = 2.38σ = 0.59Here confidence interval is not givenSo assuming 90% C.I…

Q: The average number of strawberries that come in a pint is 27.9, with a standard deviation of 7.8.…

A:

Q: According to the bookstore, 79% of students sell their used books back to the bookstore after the…

A: Givensample size (n) = 75p=0.79

Q: Find the percent of area under a normal curve between the mean and the given number of standard…

A:

Q: The weights for new born babies is approximately normally distributed with the mean of 5.4 pounds…

A:

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 233 cm.…

A:

Q: Sofia wants to determine the average household expenditure on lawn care products per year. She…

A: Population standard deviation σ = 19.2The confidence interval = 0.95Significance level (α) = 1-…

Q: mean 40,756 standard deviation 7000. find the proportion that are greater than 40,000.

A: Mean = 40756Standard deviation = 7000P(X > 40000) = ?

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.