You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=76x¯=76 hours. The population standard deviation is known to be 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 90% level of confidence. How many more

You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=76x¯=76 hours. The population standard deviation is known to be 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 90% level of confidence. How many more

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider a population that has a score of X = 15 associated with a z-score of +1.50. What does this z-score indicate about the location of X = 15? A score of X = 15 is 1.5 mean units below the standard deviation. A score of X = 15 is 1.5 mean units above the standard deviation. A score of X = 15 is 1.5 standard deviations above the mean. A score of X = 15 is 1.5 standard deviations below the mean.
A population of scores has µ=44. In this population, a score of X= 40 corresponds to z= - 0. 50. What is the population standard deviation?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.5 years, and standard deviation of 0.5 years. The 4% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place.
For a population with mean of 50 and a standard deviation of 8, what is the z-score that corresponds to X-58? а. 1.5 b. -0.5 C. 1 d. -2 е. 2.5
A researcher is 95% confident with the estimate of a sample, of standard deviation of 10,that the error will not be more than 3. Step 1. What are the given? Step 2. What is the sample size needed by the researcher?
A sample of size 50 will be drawn from a population with mean 76 and standard deviation 14. Find the 69th percentile of x.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.97.9 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 2424 samples is 8.18.1 ppm with a variance of 0.250.25. Does the data support the claim at the 0.10.1 level? Assume the population distribution is approximately normal. Step 3 of 5: Specify if the test is one-tailed or two-tailed.
The life of a butterfly is normally distributed with a mean of 50 days. You took a random sample of 25 such butterflies. The mean life for this sample is 47 days a standard deviation of 3 days. At α = 0.05. a. Test to see if the average life of a butterfly is different from 50 days. b. Your friend believes that the life of a butterfly is less than 50 days. Is she correct?
Pyramid Lake is on the Palute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a tells you that the average length of trout caught in Pyramid Lake Is mu = 19 Inches. Howevera survey reported that of a random sample of 46 fish caught, the mean length was overline x =18.6 lnch , with estimated standard s = 2.7 inches. these data Indicate that the average length of a trout caught in Pyramid Lake less than mu = 19 inches? Use a=0.05 Please answer ONLY parts D & E
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?