The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviation of 2 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of 400…

A: Given data Mean = 400 Standard deviation = 100 To find the top 3%, we need to find the z-value…

Q: At a computer manufacturing company, the actual size of computer chips is normally distributed with…

A:

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

A:

Q: An advertising executive wants to estimate the mean amount of time that consumers spend with digital…

A: It is given that confidence level is 0.95, standard deviation is 44 and margin of error E is 4.

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Given that Mean = 6.9 and Standard deviation = 1.5 Formula z = (x - mean)/ SD

Q: A normally distributed set of data has been generated where 50% of the data lies below 97 and 70%…

A:

Q: The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal…

A: We have given that.   X~N( μ , ?^2 )   μ =350 , ? =25   Z-score =( x - μ )/?

Q: The lifetime of light produced by a company is normally distributed with standard deviation of 80…

A: Let X : Lifetime of light produced by a company is normally distributed with  Standard deviation (σ)…

Q: At Intel, the sizes of processor chips have a mean of 1 cm with a standard deviation of 0.2 cm.…

A:

Q: The mean and standard deviation of a population are 200 and 20, respectively. Suppose samples of…

A: Given : μ = 200 , σ= 20 and n= 36

Q: Among health care workers at a local hospital, the average number of vacation days taken per year is…

A: The mean is 5 and the standard deviation is 2.5.

Q: The SAT scores of all freshmen accepted at State University are normally distributed, with a mean of…

A: Let X be the random variable of SAT scores of all freshman. Given Data: E(X)=1050 SD(X)=120 X~…

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Given Let X : The average hours of sleep on a weeknight mean = μ= 6.9  standard deviation = σ= 1.5…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A:

Q: A random sample of 100 male students is drawn from a particular class. The mean and standard…

A:

Q: Last year the revenue for utility companies had a mean of $60 million with a standard deviation of…

A:

Q: In a particular city, the weight of newly born babies is normally distributed with a mean of 3.5 kg.…

A:

Q: An advertising executive wants to estimate the mean amount of time that consumers spend with digital…

A: a) The sample size is 117 and it is obtained below: From the given information, the population…

Q: Find standard deviation of each sampling distribution

A: here  given, According to a gallup survey of boys 77% of boys had played computer games in the past…

Q: As the size of a sample increases, the standard deviation of the distribution of sample means…

A: Here  Standard deviation of sample mean = σn

Q: The length of pregnancies are normally distributed with mean of 268 days and a standard deviation of…

A: Given : Length of pregnancies = X  X is normally distributed  Mean of X = 268 days  Standard…

Q: According to Consumer Expenditures, the average consumer spent $1729 on apparel and services in…

A:

Q: The waist girth of 2,500 employees in a large company follows the normal distribution with mean of…

A:

Q: for a population with a standard deviation of 25 and mean of 400, draw a bell shaped curve, marking…

A:

Q: Nationally, the per capita monthly fuel oil bill is $110. A random sample of 36 cities in the…

A: Let μ denotes the population mean per capita monthly fuel oil bill. The national per capita monthly…

Q: The students of a large university in Luzon were studied regarding their hours of sleep at night.…

A: Given Information :  The students of a large university in Luzon were studied regarding their hours…

Q: The time necessary to complete an examination has a mean of 45 minutes and a standard deviation of 4…

A: Consider that the random variable X defines the time to complete an examination.

Q: The mean length of one-year-old spotted flounder, in millimeters, is 124 with standard deviation of…

A:

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: A normal-shaped distribution with μ = 40 and σ = 8 is transformed into z-scores. Describe the shape,…

A: Normal distribution has a curve with bell shape which is centred at the mean of the distribution.…

Q: The lengths of pregnancies in a small rural village are Normally distributed with a mean of 265 days…

A: Obtain the standard z-score for the random variable X equals 239 days. The standard z-score for the…

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Solution: Let X be the time a patient of a medical center spends waiting for an appointment. From…

Q: The admission committee of AUCA enrolls 60% of those who took the exam. If the scores follow a…

A:

Q: Given a distribution with a mean of 117 and standard deviation of 42. find a value with a 7-score of…

A:

Q: The weight of potato chips in a large-size bag is stated to be 24 ounces. The amount that the…

A:

Q: The mean and standard deviation for the quality grade point averages of a random sample of 28 senior…

A:

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. If a random sample of…

A: Given that  μ= 400 , σ= 50 , n = 25

Q: The length of time it takes to find a parking space at the local grocery store, follows a normal…

A: See the handwritten solution

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: The Drive-thru lane at Chick-fil-a's mean wait time is 7 minutes with a standard deviation of 2…

A: 8. The standard deviation for sampling distribution of means is, σx¯=σn=210=23.16227766=0.6325

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Given that the mean is 35 minutes and standard deviation is 12 minutes. That is, μ=35 and σ=12 Let…

Q: The admission committee of AUCA enrolls 39% of those who took the exam. If the scores follow a…

A:

Q: The mean value of land and buildings per acre from a sample of farms is $1600, with a standard…

A: Given that  Mean value of land and buildings per acre from a sample of farms is $1600 (μ)=$1600…

Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

A: Given that  Population Mean=4.8  Standard deviation=0.75 Sample size=60

Q: The admission committee of AUCA passes 33% of those who took the exam. If the scores follow a normal…

A:

Q: The average length of a phone call for cell phone users in the United States is 8.4 minutes, with…

A:

Q: A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles…

A: Solution:

Q: e distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is…

A: Given that  The distribution is normal. Mean (μ)= $600 Standard deviation (σ) = $120   We know that…

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.