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The mean height of the certain type of plant is 185 centimeters. Assume we want to perform a hypothesis test to see if mean height when these plants are treated with the certain chemical varies from 185. Define the null hypothesis H0 and alternative hypothesis H1 which we would use for this test.
At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations? State your null and alternative hypotheses. (Note: while the small sample size could justify use of the non- parametric Kruskal-W..
A fair die is rolled until win or loss occurs: For k=1 to 5: if a 6 occurs on the kth roll you win N dollars and game ends; if a number
Computing from a large sample, one finds the 95% confidence interval for 956; to be {6.8, 14.2}. Based on this information alone, determine the 90% confidence interval for 956
Inspect table produced in question 2 above. Comment on relative sensitivity of minimum sample size to actual proportion and to desired half width.
A property of concern for any food company that uses a high-speed carton-filling machine to package juice is the weight of the food product in the individual cartons.
An instructor claims the average time to take a statistics test is greater than 39 min. As, if a sample of 33 students took 43 min. is the instructor's claim true?
If X and Y are two independent Poisson random variables, then show that the conditional distribution of X given X+Y is binomial.
A battery manufacturer advertises the average life of its automobile battery is 60 months.what % of batteries should last between 50 and 70 months? The standard deviation is 10 months.
Let X bar be the average of n such independent measurements. Use Chebychev's inequality to estimate how large n should be such that P(|X bar - M |
Calculate η 2 , the percentage of variance accounted for by treatment.
According to the Bureau of Economic Analysis, the savings rate of American households, defined as a percentage of the disposable personal income, was 4.20% in 2009.
What measure of central tendency is most sensitive to skewness and which is least sensitive? What are measures of central tendency used for? What are measures of dispersion used for?
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