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Question 1 Do this problem by hand. All answers should be integers (no decimal places).The mean sales per customer µ for all of the sales for your company last month is not known. Based on your past experience, you are willing to assume that the population standard deviation of sales, σ, is about $220. If you take a random sample of 100 sales, what is the value of the standard error of x¯¯? (Blank #1).If you take a random sample of 25 sales, what is the value of the standard error for x¯¯? (Blank #2).Remember that the sampling distribution of x¯¯ is normal with a mean of µ and a standard deviation of σx¯.Question 2Suppose we have a population with unknown mean, μ, and standard deviation, σ=100. We have a sample size of 225 and we estimate a sample mean, x¯¯=30.The point estimate of μ is ______ (Blank #1, no decimal places).Create a 95% confidence interval for μ using the value 1.96 from the normal probability distribution, [Blank #2, Blank #3]. Use two decimal places.Question 3Which statement is true? The 95% confidence interval is wider than the 90% confidence interval becauseQuestion 3 options:a) the standard error for the 95% interval is bigger than for the 90% interval.b) we can only be more confident in the estimate if we include more possible values for the population mean.c) the margin of error for the 90% interval is bigger than for the 95% interval.d) there's a higher probability of 95% confidence interval containing the mean than the 90% confidence interval containing the mean.Question 4As the sample size increased, the width of the confidence interval got smaller. Why?Question 4 optionsa) In general, the more data we have, the more accurate our estimate will be.b) The standard deviation is smaller when N is larger.c) The mean is smaller when N is larger.d) When we increased N, we changed the t-value that we used.Question 5A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 9 ± 3. We may concludeQuestion 5 options:A.there is a 95% probability that μ is between 6 and 12.B.there is a 95% probability that the true mean is 9 and there is a 95% chance that the true margin of error is 3.C.if we took many, many additional random samples and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ.D.all of the above.Question 6.We create a 90% confidence interval [61,81] for the population mean. What is the value of x¯¯?Question 7Suppose we estimate a 90% confidence interval, [64, 81]. What is the margin of error?
Carbon Monoxide (CO) is a colourless and odourless gas. Even at low levels of exposure, carbon monoxide can cause serious health problems. A home is considered safe if the mean CO concentration is 5.0 parts per million (ppm) or lower. We tak..
Design and sketch an average control chart, showing upper and lower design limits, upper and lower action limits, and nominal value. Calculate and state the range control limit value.
What is the General Linear Model (GLM)? Why does it matter and compare and contrast parametric and nonparametric statistics. Why and in what types of cases would you use one over the other?
The production manager for the XYZ manufacturing company
Describe a circumstance when the mean is a very useful measure and a circumstance when it is misleading
Describes a positive linear relationship between X and Y
1.The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3.It would be useful to draw the normal curve to illustrate the confidence intervala.Construct a 90% confidence interval for the population mean.b.Construct a..
How did the media article do at explaining the findings? Is their summary accurate or misleading? Although the article may contain statistical concepts beyond the level of this class, it will most likely be based in things that we are learning...
What can we say about the shape of the distribution of the sample mean?
Let X denote the mean of a random sample of size 128
HYPOTHESIS TESTING AND CONFIDENCE INTERVALS
if mouse weights are normally distributed with a mean weight of 23 and SD of 4. With 10 mice per box, what weight should they use so that no more than 8% of the boxes will have an average mouse weight below that weight?
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