NOTE: Do NOT use the online normal calculator - Use the EMPIRICAL RULE to complete the problems in this section. In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 59 and a standard deviation of 11. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 26 and 92? Do not enter the percent symbol.

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: When Tallulah runs the 400 meter dash, her finishing times are normally distributed with a mean of…

A:

Q: If a sample has a mean of 150 and a standard deviation of 9, what is the value in the data set that…

A: Given,mean(μ)=150standard deviation(σ)=9Z-score=1.58

Q: when samples of size 25 are collected from a normal population that has a mean of 100 and a standard…

A: The sample standard deviation (s) is equal to the ratio of standard deviation of the population σ…

Q: For a population with mean 80 and standard deviation 6, what is the z-score corresponding to X = 68…

A: Given :Population mean u=80Standard deviation σ=6X=68

Q: If the average mid twenties male weighs 169lbs. and a weight of 150 is in the 31st. percentile, what…

A: We are given,Mean = μ = 169X = 150Percentile = 31st

Q: For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means…

A: Given, Mean μ = 75 Standard deviation σ = 12 sample size n = 16

Q: Assuming that the heights of college women are normally distributed with mean 62 inches and standard…

A:

Q: For a population with mean 90 and standard deviation 10, what is the z-score corresponding to X =…

A:

Q: From the empirical rule we can deduce that, for any distribution, 95% of the observations fall…

A:

Q: Given a normally distributed data set whose mean is 35 and whose standard deviation is 6.3, what…

A: The random variable X follows normal distribution. The population mean is 35. The population…

Q: When Boubacar commutes to work, the amount of time it takes him to arrive is normally distributed…

A: we have to find out given probability ...

Q: In a mid-size company, the distribution of the number of phone calls answered each day by each of…

A:

Q: Assume that the heights of women are normally distributed with a mean of 64.9 inches and a standard…

A: Given: Heights of women = X X follows Normal distribution with mean 64.9 inches and standard…

Q: If the manager of a bottled water distributor wants to​ estimate, with 90​% confidence, the mean…

A: According to the provided information,

Q: The salaries of 300 employees of a certain factory in Baguio City have a mean of P6,500 and a…

A:

Q: For a population with a standard deviation of 20, what is the zscore corresponding to a score that…

A: The population standard deviation is 20. The z-score corresponding to a score that is 5 points below…

Q: Suppose the scores of students on an exam are normally distributed with a mean of 454 and a standard…

A:

Q: If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that…

A:

Q: Consider a sample with a mean of 500 and a standard deviation of 100. What are thez-scores for the…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a…

A: Given: Meanμ=1500Standard deviationσ=250

Q: The Royal Bank of Canada net income averaged $60 million per year with a standard deviation of $15…

A: If n<30 and population standard deviations are unknown then t-test is used. Here  n=9 Standard…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…

A: Given: μ=62 minutesσ=18 minutes

Q: If research samples 28 college students and wants to compare the sample mean of 8 to the population…

A: From the provided information, Sample size (n) = 28 Sample mean (x̄) = 8 Population mean (µ) = 12…

Q: A company pays their employees an average of $52,500 per year. If the standard deviation for the…

A: Given : A company pays their employees an average of $52,500 per year. If the standard deviation for…

Q: In 1970, adults who were 18 years or more had a mean systolic blood pressure (SBP) of 148 mm Hg.,…

A: Given that in 1970 adults who were 18 years or more had a mean systolic blood pressure (SBP) of 148…

Q: If a sample of 144 male weights has a mean of 266 pounds and standard deviation of 32 pounds. The CV…

A: Given data Mean (x̅ ) = 266Standard deviation (s) = 32Coefficient of variation(CV) for sample is…

Q: If you draw a sample of 200 from a normal distribution and using the Empirical Rule; how many data…

A: Given dataSample size(n) = 200In normal distribution, as per empirical formulaApplying empirical…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 71…

A: Solution: Let X be the height of the student boy. From the given information, X follows normal…

Q: Given that the population standard deviation equals 273 and the sample size consists of 741…

A: Given information- Population standard deviation, σ = 273 Sample size, n = 741 We have to find the…

Q: Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard…

A: From the provided information, Mean (µ) = 253 Standard deviation (σ) = 80

Q: Suppose that the cost of annual tuition at colleges is normally distributed, with an average annual…

A:

Q: In the province of Iloilo,the set of recorded midday temperature readings for the month of February…

A: Given, 10.5% of recorded temperature readings were under 28°C, and that 33% were above 30°. The…

Q: If you draw a sample of size 10 from a population of size 35 with a population mean of 83.4 and…

A: In question, Given that you draw a sample of size 10 from a population of size 35 with a population…

Q: in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and…

A: Let the random variable X be the life of tires.  The random variable X follows Normal distribution…

Q: When samples of size 30 are collected from a normal population that has a mean of 200 and a standard…

A:

Q: The average wage for bank managers in a certain city is $91,900 per hour with a standard deviation…

A: Given that  X~N( μ = 91900 , ? = 24300) μ = 91900 , ? = 24300 Z-score =( x - μ )/?

Q: Consider the time it takes, in minutes, for police officers to respond to a 911 call, where a…

A:

Q: iven a normally distributed data set whose mean is 25 standard deviation is 5, what values of x…

A: We have to find out answer of given question....

Q: If given an extremely non-normal empirical frequency distribution, does it make sense for a…

A: Given data: If given an extremely non-normal empirical frequency distribution, To find: Does it make…

Q: For a population with a mean of μ = 55 and a standard deviation of σ = 17, what is the standard…

A: We have to find correct answer..

Q: Of the measures of central tendency, which is typically considered to be the most appropriate to…

A: The median is the middle value of the ordered data set. The median is not affected by the outliers…

Q: When samples of size 25 are collected from a normal population that has a mean of 100 and a standard…

A: Given, n = 25 μ = 100σ = 20       To find, Sampling distribution of standard deviation?

Q: A non-symmetric dataset has a mean of 200 and a standard deviation of 15.  Find an upper bound for…

A: Given: μ = 200 σ = 15 Solution: First calculate one sigma limit  μ ± σ = 200 ±15=185, 215 Two sigma…

Q: When Wyatt commutes to work, the amount of time it takes him to arrive is normally distributed with…

A: The arriving time to work (X) is normally distributed with mean (μ) = 45 minutes and standard…

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: From the given information,   Mean = 100 Standard deviation = 15   The objective is to find the…

Q: If the foot length of women follows a normal distribution and 95% of women have a foot length…

A: Given data: If the foot length of women follows a normal distribution 95% of women have a foot…

Q: The heights of German men are normally distributed with a mean of 67.9 inches and a standard…

A: a) Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is…

A: The mean is 100 and the standard deviation is 15.

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.