Sales delay is the elapsed time between the manufacture of a product and its sale. According an article it is quite common for investigators to model sales delay using a lognormal distribution. For a particularproduct, the cited article proposes this distribution with parameter values μ = 2.02 and o2 = 0.05 (here the unit for delay is months).USE SALT(a) What are the variance and standard deviation of delay time? (Round your answers to two decimal places.)months2variance3.06standard deviation 1.75✔ months(b) What is the probability that delay time exceeds 12 months? (Round your answer to four decimal places.)0.0188(c) What is the probability that delay time is within one standard deviation of its mean value? (Round your answer to four decimal places.)0.1024x(d) What is the median of the delay time distribution? (Round your answer to two decimal places.)7.54months(e) What is the 99th percentile of the delay time distribution? (Round your answer to two decimal places.)12.69months.(f) Among 10 randomly selected such items, how many would you expect to have a delay time exceeding 6 months? (Round your answer to three decimal places.)1.341x itemsYou may need to use the appropriate table in the Appendix of Tables to answer this question.

The investigators to model sales delay using lognormal distribution.The distribution with parameter…

Answered: Sales delay is the elapsed time between…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I n recent years, a number of companies have been formed that offer competition to AT&T in long-distance calls. All advertise that their rates are lower than AT&T's, and as a result their bills will be lower. AT&T has responded by arguing that for the average consumer there will be no difference in billing. Suppose that a statistics practitioner working for AT&T determines that the mean and standard deviation of monthly long-distance bills for all its residential customers are $17.09 and $3.87, respectively. He then takes a random sample of 100 customers and recalculates their last month's bill using the rates quoted by a leading competitor. Sample mean given 17.55.
A population is normally distributed with mean 19 and standard deviation 1.1. (a) Find the intervals representing one, two, and three standard deviations of the mean. one standard deviation (smaller value) (larger value) two standard deviations (smaller value) (larger value) three standard deviations (smaller value) (larger value) (b) What percent of the data lies in each of the intervals in part (a)? (Round your answers to two decimal places.) one standard deviation % two standard deviations % three standard deviations % (c) Draw a sketch of the bell curve.
When using 1-Var Stats on a scientific or graphing calculator, the resulting statistical output includes two values for the standard deviation of the data set. These values are labeled as Sxand σx in the statistical output. Why is it necessary to give two values for the standard deviation? How would you choose which one to use as the standard deviation of a data set you are working with? Be sure to explain the difference between these two values as you answer these questions
A queueing system has an arrival rate of 37 visitors per day (standard deviation of 32) and a service rate of 42 visitors per day (standard deviation of 25). (Round your answer to three decimal places.) What is the coefficient of variation of the arrival rate?
Exercise 6. Regression Fallacy. Historically, scores on the two midterms had a correlation of 0.48. Suppose that Jeri scored 2.1 standard deviations below the mean on the first midterm. (a) How many standard deviations [above or below?] the mean would you predict for her second midterm?
A sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4. Which of these values is guaranteed to increase if the sample size is decreased to 10? a. none of these is likely to be changed very much by decreasing n. b. the value of the variance c. the value of the mean d. the value of the standard error
The ability to determine the age of some individuals can be difficult if there are not quality government records of birth. Bone growth takes place at the growth plates at the end of long bones. Once all growth plates fuse, growth stops, and an individual is considered a biological adult. The age at which growth plates fuse for males is approximately normally distributed with a mean of 19 years and a standard deviation of 15.1 months. Complete parts (a) through (d). e this (a) What is the probability a male's growth plates fuse after age 21? The probability a male's growth plates fuse after age 21 is (Round to four decimal places as needed.) View an example Get more help. 4 CE 4 PrtScn Home End F10 PgUp Clear all ^O S ↓ PgDn Check answer 12:55 PM 11/21/2022
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7. Ecological Applications study on the development following wildfires in the Pacific Northwest. One variable of interest to the researcher was tree diameter at breast height 110 years after the fire. The population of Douglas fir trees was shown to have an approximately normal distribution with mean tree diameter ? = 50 centimeters (cm) and ? = 14 cm. Find the diameter, d, such that 20.9% of the Douglas fir trees in the population have diameters that exceed d. published a of forests

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