The quality control manager at a computer manufacturing company believes that the mean life of a computer is 120 months, with a standard deviation of 10 months.   If he is correct, what is the probability that the mean of a sample of 90 computers would differ from the population mean by less than 0.85months? Round your answer to four decimal places.

Q: The mean per capita income is 20,436 dollars per annum with a standard deviation of 839 dollars per…

A: Given Information: Population mean (u) = 20436 dollars Standard Deviation (s) = 839 dollars Sample…

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given information Mean µ = 150 Standard deviation σ = 10

Q: The operation manager at a tire manufacturing company believes the mean mileage of a tire is

A:

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: A data set has a mean of 60.4 and a standard deviation of 5.2    Is a value of 45 unusual? Is a…

A: From the provided information, Mean (µ) = 60.4 Standard deviation (σ) = 5.2 X~N (60.4, 5.2)

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Let X be a continuous random variable is normally​ distributed with a mean of 150 and a standard…

Q: A marketing researcher for a phone company surveys 176 people and finds that the proportion of…

A: From the provided information, Sample size (n) = 176 Proportion (p) = 0.11

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The sampling distribution of sample mean follows the normal distribution, if the population is…

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

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

Q: Given a distribution with a mean of 90 and a standard deviation of 10, what is the probability of…

A: Given Information: μ=90 σ=10 x1=85 x2=110

Q: The reading speed of second grade students is approximately normal with a mean of 90 words per…

A: Given data,μ=90σ=10P(X>95)=?

Q: A production manager at a wall clock company wants to test their new wall clocks. The designer…

A: Solution: Given information: n= 48 Sample size  μ=17 Population mean σ=4 Population standard…

Q: The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152…

A: Here mean = 1152 and SD = 84. z=(x-mean)/SD = (x-1152)/84

Q: A marketing researcher for a phone company surveys 184 people and finds that the proportion of…

A:

Q: For a measure of  body weight, converted to z or standard scores, what is the probability of having…

A: Solution For standard normal distribution, Mean=0  & standard deviation = 1. Find:

Q: Suppose a probability and statistics class took an exam that had a mean of 60 and a standard…

A: Given, E(X)=60 SD(X)=12   After 10 Point curve Let Y be new variable.

Q: A psychologist knows from past research that the personality trait neuroticism is approximately…

A: 0given Mean=20 Standard deviation=4

Q: The College Board National Office recently reported that in 2011–2012, the 547,038 high school…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from…

A:

Q: At a customer service call center for a large company, the number of calls received per hour is…

A:

Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Q: The iPhone battery capacity is normally distributed with a mean of 4 years and a standard deviation…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: f the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what…

A:

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: The empirical rule relates the standard deviation of a population to the probability of where a data…

A:

Q: Runzheimer International publishes data on overseas business travel costs. It reports that the…

A: The standard deviation will be obtained as given below:

Q: In order to set rates, an insurance company is trying to estimate the number of sick days that full…

A:

Q: According to the Centers of Disease Control and Prevention (CDC), the aging of the U.S. population…

A: GivenAn average person makes four visits a year to doctor's offices and hospitalsλ=412        i.e.,…

Q: The sum of deviation scores in any distribution (population or sample) is always equal to 0.…

A: Let us take an example.   Let X be random variable    we know that Meanx¯=∑xn Therefore, ∑x=nx¯

Q: If it is known that the mean time between eruptions at Old Faithful is 96 minutes with a standard…

A: Given that standard deviation of 12 minutes

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

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

Q: If the grades on a statistics test are normally distributed with a mean of 80 and a standard…

A: The probability is equal to the area under the curve of normal distribution. So the probability that…

Q: A waitress believes the distribution of her tips has a model that is slightly skewed to the right​,…

A: a) The probability that she will earn at least $350 is obtained below: From the given information,…

Q: The mean cost of a five pound bag of shrimp is 50 dollars with a standard deviation of 6 dollars.…

A: Given information Mean (µ) = 50 Standard Deviation(σ) = 6 Sample size (n)= 40 probability that the…

Q: A typical children has an average IQ score of 115 with a standard deviation of 40. If 25 randomly…

A:

Q: Ten years after graduation, the salaries of Heriot-Watt University graduates are Normally…

A: Given that.   X~N( μ , ?^2 )   μ=55000    , ?=11000   Z-score =( x - μ )/?

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X<=65)

Q: The mean number of words per minute (WPM) typed by a speed typist is 123 with a standard deviation…

A: We have to find given probability.

Q: The Real Estate Group NY reports that the mean monthly rent for a one-bedroomapartment without a…

A: Given : Mean monthly rent , μ =   $2750  standard deviation , σ = $650 Sample size = n  = 100…

Q: the CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: . If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

A:

Q: If a gambler places a bet on the number 7 in​ roulette, he or she has a​ 1/38 probability of…

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: Consider X be a random variable which follows normal distribution indicates the number of miles…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 7.3…

A: Given,   Mean = 7.3 Standard deviation = 0.6 Sample size = 36   The objective is to find the…

Q: The CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns…

A: Given data,Mean(μ) = 273SD σ = 100

Q: According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about…

A: a. In a Boston Globe story, it is states that out of 6 Americans, 1 has blue eyes.  The sample size,…

Q: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

A:

Q: The president of a college wants to determine the mean number of units that college students take…

A: From the given information, the population standard deviation is 2.1 units, the confidence level is…

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.