The number of thunderstorms in Florida in a calendar year is normally distributed with a mean of 80, and a standard deviation is 12. A random sample of 8 years is selected.  a. Find the probability that the mean of this sample is between 72 and 88 thunderstorms.  b. Find the probability that the mean of this sample is greater than 75 thunderstorms.

Q: (A2) if the standard error of the mean is 10 for N=12, what is the standard error of the mean for…

A: Given (A2): SE=10 for N=12 (A2): SE= 50, for N=25

Q: 1. The heights of 200 plants in a garden follow a normal distribution with a mean of 72.3 cm with a…

A: Solution

Q: 8. The reading speed of sixth-grade students is approximately normal, with a mean speed of 135 words…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X…

A: Solution:From the given information, normal distribution with population mean as 35 and standard…

Q: 14. The golf scores for a school team were normally distributed with a mean of 68 and a standard…

A:

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

A: Note: Please repost part d as i can answer only 3 subparts as per my policy. Given data,μ=1252σ=129

Q: n a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A: Given that, Mean = 22.9 Standard deviation = 6.7

Q: a. How many standard deviations away from the mean is a beetle with mandible length of .44 mm? b.…

A: A z-score is known as the standard score that determines how much the data point deviates from the…

Q: A random sample of 45 home theater systems has a mean price of $139.00. Assume the population…

A: Given that  Random sample size (n) =45 Mean price (x¯)= $139 Population standard deviation…

Q: A pharmaceutical company claims that a drug is effective in treating 90% of people having severe mig…

A: Given information: The percentage of people having severe migraine headaches is 90%. That is, p=0.90…

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: Suppose that the average amount of ice cream that children eat at birthday parties is 3.6 oz, with a…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A:

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X <…

A:

Q: 1. The average grade of 2nd year students majoring in Civil Engineering is normally distributed with…

A: NOTE- AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY      Here Given For  Civil…

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: Given data ,u=9.6σ=1.8n=36P9&lt;x&lt;10=?

Q: 9) In a class of 30 students, how many students failed the test (below 64), if the mean grade on a…

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&lt;44)=?

Q: b) The American Automobile Association reports that the average time it takes to respond to an…

A: Given  μ=38, σ=9.002 and n=80

Q: If the average low temperature of a winter month in Rochester, NY is 16° and the standard deviation…

A: The Chebyshev’s inequality theorem states that of the data values falls inside the k standard…

Q: A hypothetical distribution for a population of test scores has a mean of 60.4, a median of 62.8,…

A: According to the given information in this question We need to find standard deviation of sampling…

Q: 2. Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean…

A: Given that, Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given,mean(μ)=8.4standard deviation(σ)=1.8sample size(n)=40

Q: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth…

A: From the given information, the null and alternative hypotheses are: Null hypothesis: H0: μ ≤…

Q: ccording to the National Association of Colleges and Employers, the 2015 mean starting salary for…

A:

Q: The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4…

A: Let , X be the lifespan of a laptop battery. X follows Normal distribution with , Mean = μ = 4 years…

Q: The commuting time for a student to travel from home to a university campus is Normally distributed…

A: Let X be the commuting time for a student to travel from home to a university campus is Normally…

Q: In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6,…

A:

Q: The amount of rain falling in Waimea Canyon State Park, Kauai is normally distributed with a mean of…

A:

Q: Mitsubishi which operates and manages car rentals for DMMMSU employees found that the tire lifetime…

A: Given For the first question μ=50000σ=3500   For the second question  μ=50σ=6

Q: Suppose the time people take to find a parking spot at the annual State Fair is normally distributed…

A:

Q: Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 45…

A: According to the given information, we have Mean = 45 Standard deviation = 15 Sample size, n = 36

Q: In a given year, the average annual salary of an NFL football player is $189,000 with a standard…

A:

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: From the given information, x¯=9.6σ=1.8n=36

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: Sweet Rush is an ice cream shop chain that has locations all across the nation, Customers at Sweet…

A: Solution-: Given: μ=1.40,σ=0.85,n=10 We find, (a) μX¯=? (b) σX¯=?

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 92inches and a standard…

A: Given data: The given mean is xm=92 inches. The given standard deviation is σ=0.6. (a) The given…

Q: The volume of cracker boxes are normally distributed, with a mean of 7 oz and a standard deviation…

A: It is given that:

Q: The monthly In distributed, with mean of $100 standard deviation of $13. Find the probability that a…

A:

Q: The average student loan debt for collge graduates is$25,950. Suppose that that distribution is…

A:

Q: Suppose you sample one value from a uniform distribution with a = 0 and b = 20. a) What is the…

A: Let the random variable X follows uniform distribution on interval [a = 0, b= 20]   The PDF of…

Q: Assuming that student incomes from employment in industry during the day are normally distributed…

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: Suppose that, on average, electricians earn approximately µ = $54,000 per year in the United States.…

A: Given information- Population mean, µ = $54,000 Population standard deviation, σ = $12,000 Sample…

Q: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth…

A: From the given information, the null and alternative hypotheses are: Null hypothesis: H0: μ ≤…

Q: A fitness instructor at a large gym would like to know if the individuals that take fitness classes…

A: Morning steps mean should be greater than Evening

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 60…

A:

Q: c. What is the probability that exactly ten of the 45 luxury cars sold are silver? d. What is the…

A: It is given that n=45 and p=0.191.

Q: Assume that IQ scores are normally distributed, with a mean of 100 points and a standard deviation…

A:

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.