Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a standard deviation of 18 inches. Find the probability that the mean annual precipitation during 35 randomly picked years will be less than 101.8 inches.

Q: The average birth weight of elephants is 220 pounds. Assume that the distribution of birth weights…

A: Solution-: Given: μ=220,σ=50 We want to find the birth weight of elephants at the 90th percentile.

Q: an exam score has a mean of 506 and a standard deviation of 100. What exam score corresponds to a…

A: μ  = 506 , σ = 100  Z~ N(0,1)

Q: UPPOSE THE LIFETIMES OF TV TUBES ARE NORMALLY DISTRIBUTED WITH A STANDARD DEVIATION OF 1.1 YEARS.…

A: GIVEN DATA : lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years…

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A: The hypothesized mean is 2.1.

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A:

Q: You are to write down on a piece of paper the number of credits you are taking this semester. Your…

A: Give the general format for solving this problem as below. Summarize the recorded date of number of…

Q: The average age of vehicles registered in the United States is 96 months. Assume the population is…

A:

Q: The ages of the members of a popular ski club is normally distributed with a mean of 46 years and a…

A: Given that the ages of the members of a popular ski club is normally distributed with a mean of 46…

Q: The time it takes a student to walk from the dorm to the chemistry lab follows roughly a Normal…

A: Let X be the time it takes a student to walk from the dorm to the chemistry lab which follows normal…

Q: According to data for a​ population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: An educational study to be conducted requires a test score in the middle 40% range. If the mean is…

A: Let us assume X=score Given that X follows a normal distribution with mean= 100 and standard…

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

A: It is an important part of statistics. It is widely used.

Q: scores are normally distributed with mean 500 and standard deviation 100. Julie scores 650. Her…

A: Consider X be the random variable representing the SAT scores. X follows normal distribution with…

Q: The time taken to boil a kettle is normally  distributed with a mean of 94 seconds and  a standard…

A: The provided information is  µ=94 σ=6 P(-a<X<a)=0.40…

Q: mean number of customers arriving at a restaurant during a 15-minute period is 9. Find the standard…

A: Given that :   The mean number of customers arriving at a restaurant during a 15-minute period is 9.…

Q: Find the indicated probability. The lengths of humpback whales' pregnancies are normally…

A: x = length of human pregnancies Mean μ = 330 standard deviation (σ) = 25

Q: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a…

A:

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: the mean weight of a group of boys is 145 lb, with a standard deviation of 4lb. if the weights are…

A:

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. Assume the scores…

A: Solution

Q: Each year students in a local school district write a national examination. The average on this…

A: Average of a dataset is the mean value of the observations in the data and it is computed by…

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

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: The average time a person spends shopping in a grocery store is 43 minutes.  If the time is normally…

A: Given:  The average time a person spends shopping in a grocery store is 43 minutes.  The time is…

Q: If the scores follow normal distribution with the mean of 84 and a standard deviation of 7, find…

A:

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

A: X follows a Normal distribution with mean = 267 and S.D = 16 Then z=(x-mean)/SD = (x-267)/16…

Q: The average rainfall, recorded to the nearest hundredth of a centimeter, in New York City, for the…

A: Let X be the random variable from normal distribution with mean or average (μ) = 9.32 and standard…

Q: 95% of 80 night students scored between 70% and 80% on a quiz. If this data is normally distributed,…

A: Given: Total number of students n=80.             let X  denote the marks of students then,  X ~N(µ,…

Q: The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches…

A: Let x¯ denotes the mean annual snow falling during 25 randomly picked years. The mean is 80, and…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.2…

A:

Q: normal distribution has a mean of 80 and a standard deviation of 14. Determine the value above which…

A: Given that  X~N(μ= 80 , σ= 14 ) μ= 80 , σ= 14 Formula for Z-score Z=(X-μ)/σ

Q: The mean height of trees in the forest of Zambales is 42 ft and the standard deviation is 3 ft.…

A:

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

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: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: Given Data Population Mean,μ = 0.45 Population Standard Deviation,σ = 0.05

Q: If the normal operating life of a car is considered to be 150,000 miles, with a standard deviation…

A: The probability that a car will last 200,000 miles is calculated as follows:

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.