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Normal Distribution

Normal Distribution and Six Sigma

The specifications call for a shaft to be 1.000 inch in diameter. The acceptable tolerances are +/- 0.005 inches. By doing a process study, you have determined that the average output of diameter is 1.002 and the standard deviation is 0.002. What is the probability that a shaft taken at random from the process will need to be re

Applied Statistics for Health Care

View the "Sampling Distribution of the Mean" within a Multimedia Presentation. InteliBoard Assessment 1. The mean of the sampling distribution is equal to a. the population standard deviation b. the sample mean c. the sample standard deviation d. the population mean e. none of the above 2. The standard error of t

RE: Probability question - need your assistance ASAP

The KW water is provided to approximately 750,000 people, who are served through more than 362,000 accounts. All accounts are metered and billed monthly. the probability that an account has an error in a month is 0.001, and accounts can be assumed to be independent. a- what is the mean and standard deviation of the number of ac

Normal Probability & t Distribution

See attached file for formulas and amounts. Question #1 / 5 Let be a standard normal random variable. Use the calculator provided to determine the value of such that . Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places. Question #2 / 5 Suppose th

Psychological Statistics questions

1. If an original set of measurements is made in inches and has a mean of 36 and a variance of 144, what will be the mean, variance, and standard deviation if: a) the unit is changed to feet? b) 6 inches must be added to each measurement to correct an error? c) The measurements are converted to centimeters (2.5 cm = 1 i

Normal Distribution for Pacific Fishing Company

Please see the attached question. Pacific Fishing Company is a fish packing company. The company sells cans of salmon with a labeled weight of 213 grams. The quality control engineer reports that the cans actually have a mean weight of 218 grams and a standard deviation of 5 grams. The weights are approximately normally distr

Statistics questions

(a) Why is the Normal distribution so important, particularly with respect to problems dealing with statistical inference? (b) Ok, now that we accept/believe that the Normal distribution is so widely applicable, computationally why is it so useful?

Standard Deviations and the Empirical Rule

The VIX is quoted in terms of percentage points and translates, roughly, to the expected movement in the S&P 500 index over the next 30-day period, on an annualized basis. For example, if the VIX is at 21, this represents an expected annualized change of 21% over the next 30 days; thus one can infer that the index option ma

Symmetric Property of Normal Distribution

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples is known to be normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce. Between what two values (in ounces) symmetrically distributed a

Probability of a sample average number of strokes exceeding

Please answer the exercise below in Excel and show your work including formulas. A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has a significant impact on the average number of strokes for the 13th hole on a given golf course. Historically, the pin has been

OurCampus! Statistics for Managers Using Excel

See attached files. To Satisfy concerns of potential advertisers, the management of OurCampus! has undertaken a research project to learn the amount of time it takes users to download a complex video features page. The marketing department has collected data and has made some claims based on the assertion that the data follo

Statistics Practice Questions

Please select the correct answer (please write in a few words how you have a arrived at your conclusion) 12. In a statistic class, 10 scores were randomly selected with the following results were obtained (mean=71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the standard deviation? A. 22.72 B. 12.00 C. 4.77 D. 5

Overdue Bills Following a Normal Curve & Determining Likely Voters

6. A large population of overdue bills has balances that follow a normal curve. When we take a sample of 100 of these the average is $500 and the SD is $100. (a) What statement can you make about the range $300 to $700? (b) What statement can you make about the range $480 to $520? 10. Pollsters try to determine wh

The lifetimes of light bulbs of a particular type are normally distributed.

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of the bulbs have lifetimes that lie within one standard deviation of the mean on either side? Use the 68-95.99.7 Rule. Please give a through and simplistic explanation in th

Frequency Distribution and Data Samples

I have several questions relate to frequency distribution that I need support. Please see my questions below and please post with examples if you can so I have more understanding. 1. Does it necessarily true that any frequency distribution contains any form of data sample? Please illustrate your answer with examples. 2. C

Business: Decision Justifications Using Z-score And Statistics

Assume that you own a small factory. A critical piece of machinery in your factory will need to be replaced in 180 days. If the machinery does not show up on time, you will need to shut down until it arrives. This might cause you to permanently lose customers.When you order the part you will need to pay the $500,000 in advance.

Standard normal distribution

1. Ages of applicants for a particular scholarship are normally distributed with a mean age of 21.3 years and a standard deviation of 1.85 years. If an applicant is randomly selected, find the probability that the applicant is under 18 years old. Express answer as a decimal - four decimal places. 2. Song lengths scheduled fo

Calculation of Probability using the Z Score

4. A tool industry publication claims that the average salary for executives is $129,500 and the standard deviation of all salaries in the industry is $13,500, a study of 20 executives finds that the average salary is $136, 700 with a standard deviation of $22,570. (5) Identify: = _________, s = __________, ? = ______

16 Statistics multiple choice questions

10. According to the empirical rule, if the data form a "bell-shaped" normal distribution, ________ percent of the observation will be contained within 1 (one) standard deviation around the arithmetic mean. (Points: 4) 68.26 75.00 88.89 93.75 11. The probability that a new advertising

5 Statistics problems: Normal distribution, probability, mean of sample

The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What percentage of MBA's will have starting salaries of $34,000 to $46,000? The weights of items produced by a machine are normally distributed with a mean of 8 ounces and a standard de

Statistics: Distances for students from centrally located college

Please help with the following problem. A college is located in the geographic center of mainland United States. The admission officer examines the east-west distance of the college from the hometown of each incoming resident student. Incoming resident students living to the east of the college are scored as + distances, and

Statistics: Floor to ceiling effect, use of interval, normal distribution

2.22 Would the data for number of murders by those convicted of the crime be an example of a floor or ceiling effect? 2.36. For each of the types of data described below, would you present individual data values or grouped data when creating a frequency distribution? Explain your anwser clearly. (a) eye color observed for 87

Statistics problems

If the mean and the standard deviation of a continuous random variable that is normally distributed are 20 and 5, respectively, find an interval that contains 68% of the distribution. A. (18,24) B. (15,25) C. (12,25) D. (10,30) 2. If the mean and the standard deviation of a continuous random variable that is normally d

Standard Normal Distribution or Z Score

A small post-production company re-masters soundtracks for movies and television shows, through a process that tries to minimize reading errors on the final master DVD copy. This population of master DVDs will have errors that are normally distributed, with a mean of µ = 3.5 errors/DVD and a standard deviation of σ = 1.75

Budget director wants to compare travel expense for sales

See attached file for clarity. Ms. Lisa Monnin is the budget director for Nexus Media, Inc. She would like to compare the daily travel expenses for the sales staff and the audit staff. She collected the following sample information. Sales ( $ ) 129 135 148 160 135 144 Audit ( $ ) 125 110 132 134 142 123 133 Us

Standard normal curve, car towing calls, new curriculum

Please provide step by step solution. Instructions: Solve the following problems keep the guidelines below in check. If you are calculating something using a table, the number of decimal places from the table is expected. like z=1.00, table value is .8413 (2 decimal places for z, 4 for the probability) REGARDING NUMBER