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A statistician wants to estimate the mean height h (in meters) of a population, based on n independent samples X1, . . . , Xn, chosen uniformly from the entire population. He uses the sample mean Mn = (X1 +···+Xn)/n as the estimate of h, and a rough guess of 1.0 meters for the standard deviation of the samples Xi.
a) How large should n be so that the standard deviation of Mn is at most 1 centimeter?
b) How large should n be so that Chebyshev's inequality guarantees that the estimate is within 5 centimeters from h, with probability at least 0.99?
An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots. A partial ANOVA table
What are the primary differences between investments in corporate stock versus corporate bonds? Since bonds pay interest, does that imply the individuals risk exposure is less for investing in bonds rather than stock?
Consider the results of the hypothesis test you conducted above. Which of the two types of errors could you have committed? Explain the ramification of committing such an error in the context of this scenario.
You had calculated the following measures of central tendency: the mean, the median, and the mean trimmed 25%. Which of these measures of central tendency will change when you correct the recording error?
Use Gauss-Jordan method to determine solution to following system of equations?
Find out the confidence interval for the population mean also interpret the result. A researcher is interested in whether social assertiveness might be influenced by training procedures.
At the 5% level of significance test whether the bottling process is carried out accurately or whether the filling machinery needs calibration. Use both the critical and the p-value approaches.
Assume that the measurements came from a normal distribution. The variability of the manufacturing process is unknown means the same as the standard deviation is unknown.
Define the Linear programming problem (LPP)
Draw the graph of the regression line on the same plot as the scatter diagram above.
For population with mean of µ=60 and a standard deviation of s=24. Determine the z score corresponding to each of following samples.
Ski Resorts of Vermont, Inc. is considering a merger with Gulf Shores, Inc. of Alabama. The board of directors surveyed 50 stockholders concerning their position on the merger.
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