The mean weight of sachet of 3-in-1 coffee is 20 grams with a standard deviation of 1.2 grams. A sample of 36 sachets is taken from the production line. 1. What is the mean of the sampling distribution of sample means? 2. What is the variance of the sampling distribution of the sample mean? 3. What is the standard deviation of the sampling distribution of the sample mean? 4. What is the probability that the mean of a random sample of 36 sachets of coffee will have a mean weight that is less than 19.6 grams? 5. What is the probability that the mean of a random sample of 36 sachets of coffee will have a mean weight that is greater than 19.6 grams? 6. What is the probability that the mean of a random sample of 36 sachets of coffee will have a mean weight that between 19.5 and 20.3 grams?
The mean weight of sachet of 3-in-1 coffee is 20 grams with a standard deviation of 1.2 grams. A sample of 36 sachets is taken from the production line. 1. What is the mean of the sampling distribution of sample means? 2. What is the variance of the sampling distribution of the sample mean? 3. What is the standard deviation of the sampling distribution of the sample mean? 4. What is the probability that the mean of a random sample of 36 sachets of coffee will have a mean weight that is less than 19.6 grams? 5. What is the probability that the mean of a random sample of 36 sachets of coffee will have a mean weight that is greater than 19.6 grams? 6. What is the probability that the mean of a random sample of 36 sachets of coffee will have a mean weight that between 19.5 and 20.3 grams?
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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For Nos. 1 to 6:
The mean weight of sachet of 3-in-1 coffee is 20 grams with a standard deviation of 1.2 grams. A sample of 36 sachets is taken from the production line.
1. What is the mean of the sampling distribution of sample means?
2. What is the variance of the sampling distribution of the sample mean?
3. What is the standard deviation of the sampling distribution of the sample mean?
4. What is the probability that the mean of a random sample of 36 sachets of coffee will
have a mean weight that is less than 19.6 grams?
5. What is the probability that the mean of a random sample of 36 sachets of coffee will
have a mean weight that is greater than 19.6 grams?
6. What is the probability that the mean of a random sample of 36 sachets of coffee will
have a mean weight that between 19.5 and 20.3 grams?
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