The time to make a batch of plastic bottles is normally distributed with a mean of 45 seconds. New machinery has been installed in an effort to reduce this time. A sample of 38 batches made on the new machinery was found to have a mean of 40 seconds. Assume a standard deviation of 7 seconds.

Q: The number of ants in a group is normally distributed with a mean of 67.0 and a standard deviation…

A: Let X be the random variable for the number of ants in a group. Given that, X~N(μ=67.0, σ=83.64)…

Q: The weights of newborn baby boys are normally distributed with a mean of 3.33 kg and a standard…

A: GivenMean(μ)=3.33standard deviation(σ)=0.40

Q: Find the time it takes the fastest 24.2% of the college students to find a parking spot in the…

A: The length of time it takes college students to find a parking spot in the library parking lot…

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Given Mu=63 Standard deviations=5

Q: A researcher measures the lengths of 3-year-old yellow perch in a fish hatchery and finds that they…

A: From the provided information, Mean (µ) = 17.2 Standard deviation (σ) = 3.4 X~N (17.2, 3.4)

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: The life of a battery is normally distributed with mean 70 hours with a standard deviation of 10…

A: Given, μ = 70 σ = 10 Z = X-μσ

Q: According to National Health Survey heights of men are normally distributed with mean of μ=69.0…

A: The standard deviation is obtained below Critical value: From the standard normal distribution…

Q: The lengths of pregnancies are normally distributed with a mean of 280 days and a standard deviation…

A:

Q: The nails produced by a machine are assumed to have a mean of 5.0 cm. A random sample of 80 nails…

A: Null hypothesis: H0: µ=5. Alternative hypothesis: H1:µ>5. This is a right tailed test. Here, the…

Q: Suppose that striped dolphin lengths are normally distributed with a population standard deviation…

A: The formula for the minimum sample size is as follows: Here, zα/2 is the critical value at 95%…

Q: In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a…

A: X~N(μ=25,σ=4)

Q: A fire department in a rural county reports that its response time to fires is approximately…

A: Consider that a random variable x, defines the response time to fires.

Q: If two dice are rolled simultaneously. find the probability that: Prompts the sum is 9 the sum is…

A:

Q: The weight of oranges growing in an orchard is normally distributed with a mean weight of 8 oz. and…

A: From the given information        Mean , μ=8 Standar deviation σ=1.5 We have to find how many orange…

Q: A banker finds that the number of times people use automated-teller machines (ATMs) in a year are…

A: Solution-: Given:μ=40,σ=11.2 We want to find  the proportion of customers who use ATMs between 30…

Q: determine the percent of batteries that can be expected to require repair or replacement under…

A: Let X be the random variable that breakdown times. Given that, X ~ N(μ=50, σ=6) The warranty on a…

Q: During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate…

A: Given, Mean, μ=156 Standard deviation,σ=15

Q: The combined SAT scores for students at a local high school are normally distributed with a mean of…

A: X follows a Normal distribution with mean = 1497 and S.D = 293 Then z=(x-mean)/SD = (x-1497)/293…

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: Women's height are normally distributed with a mean of 63.7 inches and a standard deviation of 2.9.…

A:

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 659 grams and a standard…

A: From the provided information, Mean (µ) = 659 grams Standard deviation (σ) = 7 grams Let X be a…

Q: statues, their weights are normally distributed. Suppose 99.7% of the time, the statues weigh…

A: From the given information we find the mean and SD.

Q: A trucking company determined that the distance traveled per truck per year is normally​…

A: Normal distribution

Q: The middle 55% of jobs should be within what range of times?

A: here given, mean = 50 minute standard deviation  = 6 minute

Q: The daily sleep duration among college students is normally distributed with a mean of 7.13 hours…

A: Solution

Q: A candy store sells about 8 million pieces of candy per day with a standard deviation of 300,000…

A: Given : Let X : Number candy that they sell in a given day           μ = 8 million i.e   Mean (μ) =…

Q: A fruit-canning company produces 250ml pineapple juice cans at its bottling plant. The population…

A: Given that, The population standard deviation for volume of pineapple juice filled in the cans is,…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A:

Q: The number of potholes in any given 1 mile stretch of freeway pavement in pennsylvania has a…

A: The empirical rule  for a normal distribution: 68% of the data are within ± 1 standard deviation…

Q: The time required for nurses to learn a particular task are found to be normally distributed with a…

A: Given information- Population mean, μ = 18.4 minutes Population standard deviation, σ = 2.7 minutes…

Q: Women's height are normally distributed with a mean of 64.7 inches and a standard deviation of 3.1.…

A: Given that.   X~N( μ , ?)   μ=64.7     , ?=3.1   Z-score =( x - μ )/?

Q: a life time of a certain brand of tires is approximately normally distributed with a mean of 42,500…

A: Given information- Population mean, µ = 42,500 miles Population standard deviation, σ = 3200 miles…

Q: All the houses in Stanton county have a mean size of 1650 square feet with a standard deviation of…

A:

Q: A banker finds that the number of times people use automated-teller machines (ATMs) in a year are…

A: The mean is 40 and the standard deviation is 11.

Q: The shape of the distribution of the time required to get an oil change at a 15-minute oil-change…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A construction zone on Interstate 15 has a speed limit of 40 mph.  The speeds of vehicles passing…

A: Given,mean(μ)=44standard deviation(σ)=3

Q: Suppose that the amount of time that takes place for the Bureau of Internal Revenue(BIR) to send…

A:

Q: tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small…

A: * SOLUTION :-

Q: A manufacturing process produces packages of walnuts. The package weights follow a normal…

A:

Q: The luggage weight for individual air travelers on some specific route have a mean of 80 pounds and…

A: Given information: The luggage weight for individual air travelers on a specific route, measured in…

Q: The shape of the distribution of the time required to get an oil change at a 20-minute oil-change…

A:

Q: At Pacific Freight Lines, bonuses are given to billing clerks when they complete 300 or more freight…

A: Given information Mean µ = 270 Standard deviation σ = 16 proportion of the time should a randomly…