Reference no: EM13687077
QUESTION 1
A light bulb is advertised as lasting an average of 1000 hours with a standard deviation of 150 hours. Find the probability of buying a light bulb that will last:
a) Between 1000 and 1250 hours
b) More than 1250 hours
c) Between 901 and 1000 hours
d) Between 901 and 1250 hours
QUESTION 2
Records in an insurance company show that the mean payout for all automobile claims is RM1800 and the standard deviation is RM400. Suppose 20 claims are filed in a week and X, the payout for an automobile follows a normal distribution.
a) If the sample mean X' is chosen as a point estimator for the population mean μ. Determine whether X' is an unbiased estimator for μ.
b) Determine the sampling distribution for the sample mean, X' and calculate the mean and the standard deviation for X'.
QUESTION 3
To investigate the proportion of smokers who believe that smoking should be banned from public buildings, a researcher randomly samples 500 adult smokers. He finds that 155 smokers support that idea. Obtain a 99% confidence interval for the true proportion of smokers who believe that smoking should be banned from public buildings. Find the sample size necessary to reduce the maximum error to 0.03 with a 99% confidence.
QUESTION 4
The daily yield for a local chemical plant has averaged 880 tons for the last several years. The quality control manager would like to test H0: μ = 880 againsts H1: μ ≠ 880 . He randomly selects 50 days from the computer database and finds that x' = 871 tons and s = 21 tons. With decision reject the hypothesis null if 874.18 < X' < 885.82, calculate the probability of Type II error and the power of the test when μ is actually equal to 870 tons.
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Role of a risk manager at simply green products
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Concepts of economies and diseconomies of scale
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Create a philosophy and approach for balancing the issues
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Determine your peer''s response reveals errors
: Determine that your peer's response reveals errors in thinking or understanding the readings or concepts. Discuss these by pointing to the correct information in the literature
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Determine the sampling distribution for the sample mean
: Determine the sampling distribution for the sample mean, X' and calculate the mean and the standard deviation for X' and Determine whether X' is an unbiased estimator for μ.
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Identify and describe the sampling strategy
: Identify and describe the sampling strategy you would use to recruit participants for your study. Estimate the number of participants you would need and explain why your sampling method is appropriate for your research design and approach.
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Issues on project human resources management
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: Here's an interesting perspective with regard to handling employees who resist change - Select a section that you most agree with and explain your reasoning.
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Why is it so difficult to motivate employees
: According to Kurt Lewin, why is it so difficult to motivate employees to alter their patterns of behavior - select any portion of the video, which most appealed to you and elaborate on its contents.
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