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The Phillies were accused of cheating their beer customers by not putting enough beer in their 12 oz cups. When 15 cups were selected at random, they were found to have a mean of 11.7 ounces with a standard deviation of 0.5 ounces. At the .01 significance level, test the claim that the customers are being cheated.
An employer claims that full time employees have a mean income of $35,000. A sample of 200 employees was considered. Their mean salary was $34,000. Assume a population standard deviation of $4,000. Does her claim seem reasonable at a 0.05 level of significance?
You want to estimate the percentage of statistics students who get grades of C or better. How many students should you survey to be 95% confident that the sample percentage is off by no more than 2 percentage points.
A researcher wants to estimate the mean serum cholesterol level for college age women. In a past study the standard deviation for this measure was 42 units. If the researcher wants to be off in his estimate by no more than three units (with 99% confidence), how large must his sample be?
A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. 13. At a = 0.05, what is the test value?
1 give the equation for the standard deviation of a random variable x over an entire population with probability mass
Prove these statements or find a counterexample: a) For any random variable X, E(X^2) >= E^2(X)
Was this a stratified sample or a blocked experiment? Explain.- Was the design of the study appropriate for the advertisers' questions?
A new surgery is successful 75% of the time. If the results of 7 such surgeries are randomly sampled, what is the probability that more than 4.
A warehouse has a stock of n items of a certain kind, r of which are defective. Two of the items are chosen at random, without replacement.
(a) Find the mean, variance, and range for these data and interpret. (b) Find lower and upper quartiles, median and interquartile range. Check for any outliers and interpret. (c) Construct a box plot and interpret.
LPP using the graphical method. Solveout the following linear programming problem utilizing the corner point method.
Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01
a researcher is studying the effect of three different row spacing on the yields of four different varieties of cotton.
Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 18 and 53?
Describe three different ways of dealing with the omitted variable problem.
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