Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the height of kindergarten children are normally distributed with a mean,μ, of 97 cm and a standard deviation,σ, of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?

Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…

A:

Q: A statistics professor gave a final exam to a class of 30 students. The exam scores are normally…

A: Given,mean(μ)=75standard deviation(σ)=10

Q: Suppose a small paint manufacturing company has a daily production that is normally distributed with…

A: Solution: It is given that a small paint manufacturing company has a daily production that is…

Q: Suppose that the exam scores of a statistics class were normally distributed with a mean of 94 and…

A: Solution: Let X be the exam score of a statistics class. From the given information, X follows…

Q: A particular fruit's weights are normally distributed, with a mean of 668 grams and a standard…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A particular fruit's weights are normally distributed, with a mean of 486 grams and a standard…

A:

Q: Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of the variability in…

A: Given, Steel rod length are normally distributed with mean 25 cm and standard deviation 0.07.

Q: he cost of laptops is normally distributed with a mean of $750 and a standard deviation of $60. What…

A: GivenMean(μ)=750standard deviation(σ)=60

Q: Steel rods are manufactured with a mean length of 27 centimeter​ (cm). Because of variability in the…

A: Given,mean(μ)=27standard deviation(σ)=0.06

Q: The mean rate for cable t.v.from a sample of 80 households was $29 per month with a standard…

A:

Q: A statistics test has a mean of 60 and a standard deviation of 10 while an accounting test has a…

A: Given information Statistics test Mean µ = 60 Standard deviation σ = 10

Q: A company produces plastic parts for an automobile manufacturer. The diameter of a plastic gear they…

A: Let X be a continuous random variable of diameter of a plastic gear (in​ mm) is normally​…

Q: A particular fruit's weights are normally distributed, with a mean of 305 grams and a standard…

A: Given: Formula: Let "X" be the weight of fruits in grams.

Q: A parenting magazine reports that the average amount of wireless data used by teenagers each month…

A: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ=6:…

Q: he average height for a man in California was 177 cm in 2021. If height follows a normal…

A: given data, normal distribution, μ=177σ=10p(180<X<190)=?

Q: A particular fruit's weights are normally distributed, with a mean of 361 grams and a standard…

A: From the provided information,

Q: If an espresso machine out-pour is normally distributed with the mean of 0.9 ounces and standard…

A: Let  X be the random variable from normal distribution with mean (μ) = 0.9 and standard deviation…

Q: A particular fruit's weights are normally distributed, with a mean of 230 grams and a standard…

A: The provided information is:

Q: The heights of women in a particular community are normally distributed with a mean of 65 inches and…

A: We have to find given proportion..

Q: A particular fruit's weights are normally distributed, with a mean of 621 grams and a standard…

A: It is given that the fruits weights follow normal distribution with mean 621 and standard deviation…

Q: A particular fruit's weights are normally distributed, with a mean of 649 grams and a standard…

A: Let  be the fruit's weight.Mean: Standard deviation: i.e.

Q: A parenting magazine reports that the average amount of wireless data used by teenagers each month…

A: Given Hypothesized mean = 7 Gb sample mean , x = 6.2 Gb sample standard deviation , s = 1.7 Gb level…

Q: A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard…

A: Let "x" be the weight of the fruit in grams. Sketch the normal curve and shade the area of 0.18…

Q: Suppose that weights of 5th grade elementary girls are normally distributed with mean µ = 64 lbs and…

A:

Q: The fuel efficiency of cars currently registered in the Commonwealth of Virginia is normally…

A: X follows a Normal distribution with mean = 24 and S.D = 6 Then z=(x-mean)/SD = (x-24)/6  follows…

Q: A particular fruit’s weights are normally distributed, with a mean of 712 grams and a standard…

A: Given,mean(μ)=712  gramsstandard deviation(σ)=28  grams

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: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given information- Population mean, µ = 67 inches Population standard deviation, σ = 3 inches We…

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A: Probability distributions are of two types, discrete and continuous distributions. Normal…

Q: 150 mg/DL and a standard deviation of 42 mg/DL. Health experts define a level of 200 mg/DL c more as…

A: It is given asMean = 150Standard deviation = 42

Q: population, it was found that the diastolic blood pressure is normally distributed with a mean 81.5…

A:

Q: Suppose the heights of women at a college are approximately Normally distributed with a mean of 65…

A: The objective of this question is to find the height that corresponds to the 40th percentile in a…

Q: A doctor in the oncology department of a hospital surveyed the breathing rateof cancer patients. The…

A: We need to apply chebychev's theorem and Empirical rule.

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A: Given that, The heaviest 9% of fruits weight more than the number of grams is

Q: Most water treatment facilities monitor the quality of their drinking water on an hourly basis. One…

A: Given that sample size is 49, sample mean is 8.42 and sample standard deviation is 0.16.

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.