The number of miles a certain type of brake pad will last is normally distributed with a mean of 42000 miles and standard deviation 2560 miles. Find the probability that, if you install this type of brake pad, it will last more than 39568 miles. P(X > 39568) =  *4 decimal places. *Note: all z-scores must be rounded to the nearest hundredth.

Q: The mean score on a standardized test is 540 with a standard deviation of 55. What percent of…

A: Given mean= 540 Standard deviation=SD= 55 We have to find the z value of 625.

Q: Round each z-score to the nearest hundredth. A data set has a mean of x = 218 and a standard…

A: Given , x = 218    , σ = 40 We know , z-score = x-xσ

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

A:

Q: How tall is a woman in the 3rd percentile?

A: Let X be the height of adult women in the US. Given that, X ~  N(mean=64.5, sd=3.1) To find the…

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Yoga mats have lengths with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Given,mean(μ)=69.0standard deviation(σ)=2.8

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: Scores on a test are normally distributed with a mean of 123 and a standard deviation of 20. What…

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Q: The graph depicts IQ scores of 102 and 128, normally distributed with mean 100 and standard…

A: Solution: Let X be the IQ score. From the given information, X follows normal distribution with mean…

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Given Information: Mean μ=69.0 inches Standard deviation σ=2.8 inches. To find the z-score of a man…

Q: The lives (in hours of continuous use) of 100 randomly selected flashlight batteries are: Interval…

A: According to the given data, first form the following table:IntervalFrequency(fi)Midpoint(xi…

Q: Energy consumption for single family comes is a mean of 1050kw and standard deviation of 218kw. Find…

A: Given information- Population mean, μ = 1050 kw Population standard deviation, σ = 218 kw We have to…

Q: The mean always has a z-score (value) →

A: When the data is converted into z scores, the mean will always end up being zero.

Q: does the range and standard deviation remain unchanged because the addition of 7 is a constant so…

A: given data  mean = 74 median = 76.5 range = 65 standard deviation = 11 add 7 points to each score…

Q: It is possible to have a standard deviation of -1 for some data set? True or False

A: See the below solution

Q: people where sampled and their heights were recorded, it was discovered mean height was 5 feet and…

A: Given that  Population mean μ =5 feet 6.3 inches =66.3 1feet=12 inches  5feet=12×5=60+6.3=66.3…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. What IQ do you need to…

A: IQ is normally distributed with a mean of 100 and a standard deviation of 15.

Q: A distribution of values is normal with a mean of 187.9 and a standard deviation of 71.2. Find P80,…

A:

Q: A data set has a mean of 70.7 and a standard deviation of 6.2. The score of 69, is how many standard…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: The area of the shaded region is (Round to four decimal places as needed.)

A: mean = 100 standard deviation = 15

Q: Round each z-score to the nearest hundredth. A data set has a mean of  x = 4079  and a standard…

A:

Q: HumanPregnancy Norm STEM Assume that the length of human pregnancies from conception to birth varies…

A: Mean(µ) = 266 Standard deviations (σ) = 16 X ~ N (µ, σ )= N ( 266,16)

Q: et's assume that the height of adult women in the United States follow a normal distribution with…

A: given data, normal distributionμ=64.5σ=3.197.5th percentile for given data=?

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: For the distribution (specified to be normal) of the hourly wage (in ) for manufacturing workers in…

Q: Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard…

A:

Q: For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the…

A:

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

A: normal distribution curve is given μ = 100σ = 15area shaded to the left of 120.

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: A half-century ago, the mean height of women in a particular country in their 20s was 63.1 inches.…

A:

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.8…

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Q: TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013…

A: given  mean μ=2.24 standard deviation σ=1.2 n=80

Q: The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5…

A: Solution: Let X be the age of senator. From the given information,

Q: Find the are of the shaded region. The graph depicts the iq scores of adults and those normally…

A:

Q: Given a distribution with a mean of 117 and standard deviation of 42. find a value with a 7-score of…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.