Given a normal distribution with a mean of 130, and a standard deviation of 4.5, find the value of a normal variable X whose corresponding standard score is z = -2.5. Note: Write the exact answer in the space provided.

Q: the mean is 146, and standard deviation is 35. A score of 251 is how many z-scores above the mean?

A:

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Given information Mean µ = 25 pounds Standard deviation σ = 3 pounds Z = -2

Q: Find the proportion of Normally distributed observations with a zz-score below -1.53.

A: It is given that the z-score below -1.53.

Q: Let X = (5400 4900 6300 6700 )T be the estimates in dollars for the cost of replacing a roof on…

A: Given:                  X=5400, 4900, 6300, 6700 A sample mean refers to the average of a set of…

Q: Find the proportion of Normally distributed observations with a zz-score above 0.84. Give your…

A: Let Z be the random variable from normal distribution with z-score above 0.84 then we will find the…

Q: Determine the following and shade the area of interest under the curve for each problem. Make sure…

A: Given : The mean weight of a single onion was 0.5 lb with a standard deviation of 0.03 lb.

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

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

A: We have given that the scores are normally distributed with mean 100 and standard deviation 15.

Q: The average GPA at Torrance High School (THS) is 3.20 with a standard deviation of 0.2. Trevor…

A:

Q: Find the proportion of Normally distributed observations with a zz-score below 3.48. Give your…

A: Let Z be the random variable from standard normal distribution with mean (μ) = 0 standard deviation…

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Scores on the SAT form a normal distribution with a mean score of 500 and a standard deviation of…

A: a) The mean is 500 and the standard deviation is 100.

Q: The grades on a geometry midterm at Oak have a mean of u = 74 and a standard deviation of o = 4.0.…

A: Given  mean (μ)=74 and x =70 standard deviation (σ)=4.0 Find the z-score ?

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: NOTE: Since we only answer up to 3 subparts , we will answer the first 3. Please resubmit the…

Q: You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s…

A: Standard deviation(s)=2.3 miles

Q: The measure of dispersion which shows the variation about the mean

A: we need to answer question using the concept of Measures of Dispersion

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

A: Given data normally distributed with mean of 100 and standard deviation of 15.From the given graph,…

Q: The measurements are 465, 589, 526, 602, 486, 542, 472, 689, and 643. Find the mean and the standard…

A: obtain the mean of the data:The mean for the given data can be obtained by entering the…

Q: o these calculations using Excel, a graphing calculator, or an app. Type the data in different…

A: The number of observations is 6.

Q: 2. The height of an adult male is known to be normally distributed with of mean of 69 inches and a…

A: X~N( μ , ?^2 )    μ =69     , ? = 2.5   Z-score =( x - μ )/?

Q: Hargrove Wood Products is a wood products company with lumber, plywood, and paper plants in several…

A:

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

A: IQ scores are normally distributed, Mean = 100 Standard deviation = 15

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

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

A: GIVEN DATA  normal distribution  μ=100σ =15 area to the right of x = 0.55 x = ?

Q: Find the proportion of Normally distributed observations with a z-score above -1.93. Give your…

A:

Q: The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of…

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

Q: Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout.…

A: Let X: the length of trout caught in Pyramid LakeGiven that,Mean length(μ) = 19 inches.Sample…