A manufacturer knows that their items have a normally distributed length, with a mean of 13.5 inches, and standard deviation of 3.8 inches. If 15 items are chosen at random, what is the probability that their mean length is less than 12.5 inches? Round to 4 decimal places.

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2 years,…

A: Given problem Given that

Q: A particular fruit's weights are normally distributed, with a mean of 771 grams and a standard…

A: Solution: Let X be the weight of a particular fruit. From the given information, X follows normal…

Q: A particular fruit's weights are normally distributed, with a mean of 513 grams and a standard…

A: The population mean is 513. The population standard deviation is 18. The sample size is 22. We have…

Q: Assume that the blood pressure data is normally distributed with a mean of 70.2 and a standard…

A: The variable x¯ is defined as the mean blood pressure levels. The sample size is 16, mean is 70.2,…

Q: The mean life of pairs of shoes is 40 months with a standard deviation of 8 months If the life of…

A: The random variable X is the life of shoes It is normally distributed. The mean life of the pair of…

Q: Given the mean is 120 minutes and the standard deviation is 30 minutes. What is the probability that…

A: The mean is 120 minutes and standard deviation is 30 minutes.

Q: In a survey of a group of men, the heights in the 20, 29 age group were normally distributed with a…

A:

Q: how much will the probability that the students are aged above 15 years old change?

A:

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: A particular fruit's weights are normally distributed, with a mean of 702 grams and a standard…

A: Introduction: Define X as the random variable of interest here, denoting the weight of a randomly…

Q: Suppose that a category of world class runners are known to run a marathon (26 miles) in an average…

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: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: The salary for workers at a company are normally distributed with a mean of $60,000 and a standard…

A: Solution: Let X be the salary for workers at a company. From the given information, X follows normal…

Q: The mean GPA of university students is 2.3 with a standard deviation of 1.2. If you were to draw 36…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.6…

A: Mean = 11.6 Standard deviation = 2.9 Sample size = 16

Q: Assume that blood pressure readings are normally distributed with a mean of 123 and a population…

A: Solution: Let X be the blood pressure reading. From the given information, X follows normal…

Q: A bank's loan officer rates applicants for credit. The rating are normally distributed with a mean…

A: From the given information,   Mean = 705 Standard deviation = 32 Sample size = 50

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A: We have given information with the usual notation, Let X denote the score of golfers for a…

Q: A small jet can carry up to 43 passengers and 3 crew members. There is a weight restriction of 9200…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.6…

A: As per our guidelines we can solve first question and rest can be reposted. Solution-: Given:…

Q: A particular fruit's weights are normally distributed, with a mean of 598 grams and a standard…

A: Given, mean μ=598 standard daviation is σ=19 Now we have to determine if we pick 22 fruits at…

Q: The mean weight of an adult is 79 kilograms with a standard deviation of 10 kilograms. If 188…

A: Let  X be the random variable from normal distribution with mean (μ) = 79, standard deviation (σ) =…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A pet store has 500 rats whose weights have a mean of 16oz with a standard deviation of 1.1 oz. You…

A: Given Data Population Mean,μ = 16.0 Population Standard Deviation,σ = 1.1 sample…

Q: have a mean GPA of 2.57 with a standard deviation of 0.71. how many of the 850 new students have a…

A: Given that.   X~N( μ , ?)   μ=2.57   , ?=0.71    Z-score =( x - μ )/?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 17.4…

A:

Q: A​ bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: Assume that blood pressure readings are normally distributed with a mean of 123 and a standard…

A:

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X<44)=?

Q: Find the probability that the mean height of the sample is greater than 58 inches.

A: Assume that the height of adult females in the United States is approximately normally distributed…

Q: A particular fruit's weights are normally distributed, with a mean of 376 grams and a standard…

A: given data normal distributionμ = 376σ = 38P(315<x<357) = ?

Q: The net weight of a can of salmon is a random variable with a mean of 6.21 ounces and a standard…

A: Solution

Q: The heights of athletes at a college have mean 69.5 inches and standard deviation 3.3 inches. Find…

A: From the given information,   Mean= 69.5 Standard deviation = 3.3   The objective is to find the…

Q: Women have head circumferences that are normally distributed with a mean of 22.06 in and a standard…

A: For the given data Find p( x bar  < 21.4 ) = ?

Q: 18 men will be tested for the discus throw. if Mu= 112ft and standard deviation= 13ft. find the…

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons.…

A:

Q: The weight of rice is normally distributed. Each bag of rice weighs with a mean of 50 pounds and a…

A:

Q: If you pick 17 fruit at random, what is the probability that their mean weight will be between 574…

A: Normal distribution is also known as the Gaussian distribution. It is very useful in statistics.

Q: In a dorm, the weights of the students are normally distributed with mean 175 lbs and standard…

A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3…

A: Given Information: Mean μ=12.3 years Standard deviation σ=0.8 years.   If you randomly purchase 3…

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.