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Directions: Test the following hypotheses using the Traditional Method. You must show all the steps involved and the final statement must be phrased appropriately for the problem.
A sports-shoe manufacturer claims that joggers who wear its brand of shoe will jog faster than those who don't. A sample of eight joggers is taken, and they agree to test the claim on a 1-mile track. The rates (in minutes) of the joggers while wearing the manufacturer's shoe and while wearing any other brand of shoe are shown here. Test the claim at a 2.5% level of significance.
Runner 1 2 3 4 5 6 7 8
Mfg brand 8.2 6.3 9.2 8.6 6.8 8.7 8.0 6.9
Other brand 7.1 6.8 9.8 8.0 5.8 8.0 7.4 8.0
Hypothesis test for two factors ANOVA. Describe what thses represent and, based on figure, whether there is a problem with the data r otherwise.
Prepare tables of descriptive statistics (mean, median, Quartiles, IQR, and Standard Deviation) by firm for net profit margin (PROFITS). Discuss.
It has been estimated that 30% of all farms are family-owned. In a sample of 12 farms, what is the probability that exactly three farms are family owned?
Simulate a completely random process of length 48 with independent, t-distributed values each with 5 degrees of freedom. Construct the time series plot. Does it look "random" and nonnormal? Repeat this exercise several times with a new simulation ..
He randomly samples 45 oil wells throughout the United States and determines the mean output to be 10.7 barrels per day with a standard deviation of 1.3 barrels. Test the researcher's claim at the .025 level of significance.
Find a 98% confidence interval for the mean number of days required for successful completion of physical therapy for patients in the average group. Discuss the results.
Use the given contingency table to (a) find the expected frequencies of each cell in the table, (b) perform a chi-square test for independence, and (c) comment on the relationship between the two variables.
The thickness of metal plates made by a particular machine are normally distributed with mean of 4.3 mm and standard deviation of .0.12 mm. What is the value of c for which there is 80% probability that a metal plate has a thickness with in the in..
The security department of a state university is planning its budget for the next year. In estimating the man-hours for security during university sponsored music concerts, the average length of music concerts is needed.
Average Precipitation For the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities.
A survey of n = 703 randomly selected workers showed that 61% of those respondents found their jobs through networking.
A grab bag contains 10 $1 prizes, 7 $5 prizes, and 3 $20 prizes. three are chosen at random. find the probability that exactly two $20 prizes are chosen?
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