A bottler of drinking water fills plastic bottles with a mean volume of 999 millimeters and a standard deviation 5 mL. The fill volumes are normally distributed. what proportion of bottles has volumes between 992 mL and 998mL?

Q: A group of 30 students were sampled and measured their height. The average height was 168cm, with a…

A: Obtain the weight represents the 5th percentile. The weight represents the 5th percentile is…

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data…

A:

Q: The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words…

A: Mean = 125 Standard deviation = 24

Q: The mean of a normal disiribution is 50 and standard deviation is 12.5. Calculate the 60th, 65th and…

A: Given,mean(μ)=50standard deviation(σ)=12.5

Q: A bottler of drinking water fills plastic bottles with a mean volume of 999 milliliters (mL) and…

A: Let "X" be the fill volumes of the bottles in mL.

Q: The mean height of men in the U.S. is 69.1 inches with a standard deviation of 2.9 inches.…

A: It is given that the mean is 69.1 and standard deviation is 2.9.

Q: The average weight of newborn babies is bell-shaped with a mean o 3325 grams and standard deviation…

A: Normal probability is a type of continuous probability distribution that can take random values on…

Q: Calculate the standard deviation

A:

Q: The mean speed of a sample of vehicles along a stretch of highway is 67 miles per hour, with a…

A: From the provided information, Mean (µ) = 67 miles per hour Standard deviation (σ) = 2 miles per…

Q: Explain the percentage slabs under the Standard Deviation Rule?

A: The percentage of slabs under the standard deviation rule or empirical rule is discussed as follows:

Q: The effect size is a measure of the magnitude of a treatment effect in standard deviation units.…

A: Given that, The effect size is a measure of the magnitude of a treatment effect in standard…

Q: The stopping distance of a cortain car traveling at 60 miles per hour follows an approximately nomal…

A: As per our guidelines, we are allowed to answer only one question per query, Thanks, Please post…

Q: A data set has size of 40. How many observations lie within two standard deviations of either sides…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: Compute the Average Deviation.

A:

Q: A coffee company packs coffee marked as 250 g. A large number of coffee packs were weighed and the…

A: Given data,Mean μ=255sd      σ=2.5P(X<250)=?

Q: What is the standard deviation of the average fill volume of 100 cans?

A: We have given that the fill volume of cans are independent, normal random variables. The standard…

Q: ) Approximate the mean and standard deviation for temperature.

A: (a) The mean for temperatures is, Temperature Days(f) Midpoint(x) fx 50 - 59 4 54.5 218 60 -…

Q: If a data set has a mean of 80 and a standard deviation of 10, calculate + 1.5 standard deviations

A: Here, the data set has a mean of 80 and a standard deviation of 10.

Q: The mean speed of a sample of vehicles along a stretch of highway is 64 miles per​ hour, with a…

A: Given, μ=64σ=4P(52<X<76)=?

Q: A bottler of drinking water fills plastic bottles with a mean volume of 998 milliliters (mL) and a…

A: Given:  µ = 998 mL  σ = 7 mL

Q: The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally…

A:

Q: What is the difference between what the z score measures and what the standard deviation measure?

A: z score is standard score and the formula for finding z score is,

Q: During 1 week, an overnight delivery company found that the weights of its parcels were normally…

A: A normal distribution is called a standard distribution if; 1. 68% of the values of the random…

Q: Find the range and standard deviation for the data items in the histogram below. 5 4 Frequency

A: From the histogram, The frequency table is, Data Frequency 10-20 2 20-30 5 30-40 5 40-50…

Q: The annual commissions per salesperson employed by a retailer of mobile communication devices…

A: Obtain the Z-score for the random variable $32000.   The Z-score for the random variable $32000 is…

Q: . The average number of calories in a bar is 250 and has a standard deviation of 15. The number of…

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: The fill volume of an automated machine used for filling cans of water is normally distributed with…

A: Consider, X be the random variable that shows the filling cans of water ( volume) which is normally…

Q: Calculate the correct mean and standard deviation.

A: Here use standard deviation and mean formula

Q: Define the term standard deviation?

A: Standard deviation: The standard deviation indicates by how much each observation differs from a…

Q: For borrowers with good credit scores, the mean debt for revolving and installment accounts is…

A: Given Information : For borrowers with good credit scores, the mean debt for revolving and…

Q: In a normal distribution, find the proportion of the population within three fifths of a standard…

A: We have to find out given proportion..

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: The Rubber Tree company produces medium bouncy balls. The average diameter of the medium bouncy…

A:

Q: Find the mean and standard deviation

A: Uniform Distribution :  The uniform distribution is a type of continuous probability distribution…

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

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

Q: A quantitative data set has a size 50. At least how many observations lie within 3 standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: Determine the mean and the standard deviation.

A: We have Given a binomial Distribution that is our random variable X~b(n,p) with parameter n=50,…

Q: An agronomist measured the height of 134 canola plants. The mean height was 214 cm and the standard…

A:

Q: The daily water usage per person in Davao City is normally distributed with a mean of 18 gallons and…

A: Given information: Let X be the random variable denoting the daily water usage per person in Davao…

Q: A bottler of drinking water fills plastic bottles with a mean volume of 994 millimeters (mL) with a…

A: We want to find the probability  P(x<995) Given that  Mean=μ=994 Standard deviation=σ=5

Q: The finished inside diameter of a piston ring is normally distributed with a mean of 10 cm and a…

A: The mean of the diameter of the piston ring is 10 cm. The standard deviation of the piston ring is…

Q: In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard…

A: In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard…

Q: Find the mean and standard deviation of the original set of data.

A:

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

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: A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68,…

A: Explanation:Here given the standard deviation and mean value and find the area for a peanut  butter…

Q: The weights of tablets are normally distributed with mean 254 mg and standard deviation 4 mg.…

A: Given that  The weights of tablets are normally distributed with mean 254 mg and standard deviation…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Given that, Mean = 20 Standard deviation = 5

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.