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A random sample of 51 observations was selected from a normally distributed population. The sample mean was = 88.6, and the sample variance was s2 = 38.2. Does the sample show sufficient reason to conclude that the population standard deviation is not equal to 8 at the 0.05 level of significance? Use the p-value method.
A researcher wishes to compare two different groups of students with respect to their mean time to complete a particular task. The time required is determined for each group. The data summary is given below. Test the claim at = 0.05, that there is no variance. Give the critical region, test statistic value, and conclusion for the F test.
n1=100, s1=20
n2=120, s2=34
The number of sit-ups that a person can do in one minute, both before and after a physical fitness course was recorded. The data is shown below for 10 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume variable is normally distributed.
Before 30 23 25 29 27 25 30 45 34 26
After 31 27 25 35 34 35 32 52 50 43
To conclude the effect of a new fertilizer on productivity of tomato plants one group of plants is treated with the new fertilizer as a second group is grown without such treatment. The number of ripe tomatoes produced by each group is counted.
Allen Abbott has a wide-curving, uphill driveway leading to his garage. When ther is a heavy snow, Allen hires a local carpenter, who shovels snow on the side in teh winter, to shovel his driveway.
A company manufacturers batteries in batches of 18 and there is a 3% rate of defects. Find the standard deviation for the number of defects per batch.
What is the probability that the person thinks that "Made in America" ads boost sales and uses social media online?
A law student, who want to check a professor's claim that convicted embezzlers spend on average 12.3 months in jail, takes a random sample of 36 such cases from court files.
Compare two models. Model #1 has an r-squared of .55 and an adjusted r-squared of .50. Model #2 has an r-squared of .52 and an adjusted r-squared of .51. Given this information, what model should you use?
The production line that packages boxes of raisins at a snack food manufacturer will be considered operating properly if the average weight of the boxes of raisin is 3.5 ounces with a standard deviation of 0.3 ounces.
Assume a very large normally distributed population of scores on a test with mean 77 and standard deviation 7.
Three times each year, the procurement manager at Phoenix contacts National\'s marketing department to place a monthly order for each of the coming four months.
Testing for a linear correlation. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05.
The F test is used in Analysis of Variance (ANOVA). When would a researcher use an ANOVA? Explain (one paragraph in length).
The owner of Western Clothing Company has determined that the company must sell 670 pairs of denim jeans each month to break even (i.e., to reach the point where total revenue equals total cost).
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