The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. find more than 7 months and Find P67, which separates the bottom 67% from the top 33%.

Q: . What is the probability that the student will get into a college whose entrance score is 550?

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Q: students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally…

A:

Q: The gestation period for human births can be taken as normally distributed with a mean of 256 days…

A:

Q: The length of human pregnancies from conception to birth varies according to a distribution that is…

A: Normal distribution:   Sketch the graph the Normal curve. The graph of the Normal distribution is…

Q: The mean height of students in a class is 152 cm. The mean height of boys is 158 cm with a standard…

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Q: he lengths of pregnancies are normally distributed with a mean of 268 days and a standard of…

A: mean=268 S.D=15

Q: sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A:

Q: The time required to complete a school achievement test was found to be normally distributed, with a…

A:

Q: heights of adult women in the United States are normally distributed with a mean of 65 inches and a…

A: The z score can be calculated as: z=x-μσ The required z score that is associated with the top 10% or…

Q: The mean age of a sample of 25 people who were playing the slot machines is 48.7 years, and the…

A: n1=25 , x¯1=48.7, s1=6.8n2=35 , x¯2=55.3, s2=3.2

Q: The duration of gestation in healthy humans is approximately normally distributed with a mean of 280…

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Q: If an adult male is told that his height is within 2 standard deviations of the mean of the normal…

A: If an adult male is told that his height is within 2 standard deviations of the mean.

Q: The U.S. Bureau of Labor statistics reports that the average annual expenditure on food and drink…

A: Given Information: Mean μ=$5700 Standard deviation σ=$1500 To find the percentage of families who…

Q: The weight of newborn babies is normally distributed, with a mean of 3.3 kilograms and a standard…

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Q: A set of wrist watch prices are normally distributed with a mean of 76dollars and a standard…

A: From the provided information, Mean (µ) = 76 Standard deviation (σ) = 10 X~N (76, 10) Here X be a…

Q: manufacturer is producing metal rods whose lengths are normally distributed with a mean of 65.0 cm…

A: Population Mean,μ = 65 Population Standard Deviation,σ = 0.3

Q: Suppose that the body temperatures for normal and healthy adults follow a normal distribution with…

A: Obtain the temperature that this clinic will consider it as fever. The temperature that this clinic…

Q: for a population with a standard deviation of 5 and mean of 48, draw a bell shaped curve, marking…

A: Given data, Mean=48 sd=5 Draw a bell shaped curve?

Q: The principal decided that the top 30% of the class with the highest grades in statistics will be…

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Q: The length of pregnancies are normally distributed with mean of 268 days and a standard deviation of…

A: Given : Length of pregnancies = X  X is normally distributed  Mean of X = 268 days  Standard…

Q: A​ half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches.…

A: Given that: X is normal Distributed with mean µ = 64.7 and standard deviation σ = 2.88 By using…

Q: The scores for a standardized reading test are found to be normally distributed with a mean of 300…

A: Given : mean = μ = 300 standard deviation = σ = 40 sample size = n = 490

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: The heights of two year old females is approximately normally distributed with a mean of 33.7 inches…

A: Solution: Let X be the heights of two year old females. From the given information, X follows normal…

Q: The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation…

A: Let  x denote the length of pregnancies. Given that the lengths of pregnancies are normally…

Q: The heights of male students is normally distributed with a mean of 170 cm and a standard deviation…

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Q: A set of final examination grades in an introductory statistics course is normally​ distributed,…

A: First we will have to calculate the value of Z for both the students, larger the value of z , better…

Q: LED lamp has a mean usage of 750 hours with standard deviation of 50 hours. If LED lamp usage is…

A: Provided information is,  A LED lamp has a mean usage of 750 hours with standard deviation of 50…

Q: Suppose that people height (in centimeters) are normally distributed, with a mean of 170 and a…

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Q: In a recent awards ceremony, the age of the winner for best actor was 37 and the age of the winner…

A: From the given information, Age of actor=37μactor=47.3σactor=7.2 Z score for Actor is,…

Q: The heights of all women in the United States are known to be normally distributed with a mean of 63…

A: According to the given information, we have Given that the heights of all women in the United States…

Q: t is known that the average time required to complete a test exam is 80 minutes and the standard…

A: Given Information: Mean μ=80 min Standard deviation σ=10 min. To find how many minutes should the…

Q: How many of the people surveyed will have a weight between 130 and 140lbs?

A: Here the mean weight is 135 lbs with a standard deviation of 5 lbs.   Use normal distribution for…

Q: The mean of the winning scores of a bowling tournament over the last 10 years was 279, with a…

A: The formula to compute z score is,  The probability is computed using standard normal table.

Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: Given:   American men 69.8 2.66 American women 64.5 2.56

Q: The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Given: Population mean and standard deviation: Also given, P(X < x) = 0.03 We have to find…

Q: The average age of senators in the 108th Congress was 58 years. If the standard deviation was 11…

A: Average or mean (μ) = 58 years and standard deviation (σ) = 11 years  Then, We will find the z…

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A:

Q: Brooklyn earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She…

A: Here we are to assume that scores on each exam are normally distributed.   For exam A, Brooklyn…

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A: Man  69.3 2.67 Woman 64.4 2.51

Q: he scores in a test conducted to 500 students are normally distributed with a mean of 110 and a…

A: Given that  The scores in a test conducted to 500 students . The scores are normally distributed…

Q: me that the heights of women are normally distributed with a mean of 62.9 inches and a standard…

A: To calculate the 75th percentile of a normal distribution, we used the formula as: X=μ+Zσ Where 'X'…

Q: he pregnancy length in days for a population of new mothers can be approximated by a normal…

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Q: f the heights of women are normally distributed with a mean of 64 inches and a standard deviation of…

A: Here Mean is given that Mean=64 inchS.D= 1

Q: The winner for Best Male Actor is 35 years old and winn3er for Best Female Actress is 47.  The mean…

A: The z-score for male actor is, z=x-μσ=35-45.15.9=-10.15.9=-1.71 The z-score for male actor is -1.71.…

Q: Suppose the midterm exam score for 100 students at UPC had a mean of 70 and a standard deviation of…

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Q: According to a study, the salaries of registered nurse are normally distributed with a mean of 56310…

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Q: The empirical rule states that the percentage of observations in a data set (provided that the data…

A: Empirical Rule: The percentage of values lies between one standard deviation from the mean is 68%.…

Q: on the test was 450 and the standard deviation was 50.  If the board wants to set the passing scores…

A: According to the sum, the board of examiners that administers the real estate broker’s examination…

Q: The average of the final exam grades of a course attended by four hundred students is calculated as…

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.