2.Factory produces whiteboard markers. The production process can be modellingby normal distribution with a mean length of 11 cm and a standard deviation of0.25 cm.(a)What is the probability that a randomly selected whiteboard marker has alength longer than 10.5 cm?(2 marks)100 whiteboard markers are randomly selected for quality checking.(b) What are the mean and standard deviation of the sample mean length?(2 marks)(c)What is the probability that the sample mean length will be between10.99 cm and 11.01 cm?(2 marks)(d) If 99.8% of the sample means are more than a specific length Y, find Y.(3 marks)

According to bartleby expert guidelines we can answer only first question. Rest can be re-post.

Answered: Factory produces whiteboard markers.…

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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Similar questions

The standard deviation of the distribution of sample means is also known as the: O standard error of measurement standard error of the population population standard deviation variance of the error mean
PLS ANSWER
The weight in kilograms of the citizens of Fredonia has a mean of 50 kg and standard deviation of 24 kg (a) Find the mean of the sampling distribution of the sample mean. (b) Find the standard deviation of the sampling distribution of the sample mean.
The height of American women is believed to follow a normal distribution with mean μ = 5.38 feet and standard deviation σ = 0.2083 feet. (b) A study randomly selects 30 American women. What is the probability that the mean height of women in this sample is greater than 5.5 feet? (c) Another study randomly selects 50 American women. Will there be a lower or higher probability that the mean height of the 50 women in this sample is greater than 5.5 feet, compared to the study in part (b)? Explain. (d) Instead, for which of the two studies from parts (b) and (c) there is a higher probability that the mean height of the women in the sample is between 5.33 and 5.43 feet? Explain.
Suppose the ages of Internet shoppers have a mean of 32 years and a standard deviation of 5 years. If you select a random sample of 100 Internet shoppers, what is the probability that the average age of the sample is 30.9 years or more? (use the concept of sampling distribution of mean and central limit theorem)
Suppose we are about to sample 150 values from a normally distributed population that has a mean of 500 and a standard deviation of 10. What is the 80th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places.

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