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An auto manufacturing company wants to estimate the variance of miles per gallon for its auto model AST72. A random sample of 24 cars of this model showed that the standard deviation of miles per gallon is 0.58. Research department would like to determine if the sample result indicates that the population variance is decreased from historical value of 0.35. At alpha = 1%, give values for test and critical statistics.
For a one tailed hypothesis test (upper tail), the p-value is computed to be 0.034. If the test is being conducted at a 95% confidence, the null hypothesis.
Their monitoring plan will take a random sample of 5 days sales per month and use the sample mean sales to identify shops that are under-performing. Establish the lower limit sales such that only 5% of the shops would have a sample sales mean belo..
Suppose that we generate a random sample from a given dis- tribution. If it is desired that the probability that the sample mean will be within 2 standard deviations of the mean of the distribution is at least .99, how large should the sample size..
At a particular location on a river the number of fish caught per man-hour of fishing effort has a Poisson distribution with ?= 1.3 fish per man hour. Find the following probabilities:
As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York conducted a study to investigate the relationship between geographic location and depression.
Explain the conclusion that there were no statistically significant differences (p ≥ 0.05) between the benefits of behavioral therapy and psychoanalysis when treating an eating disorder.
Duracell Ltd claim that the life of their batteries in motorised soft toys is approximately normally distributed with a mean of 102.9 hours and a standard deviation of 16.5 hours.
A medical researcher estimates that no more than 55% of U.S. adults eat breakfast every day. In a random sample of 250 U.S. adults, 56.4% say they eat breakfast every day.
A report states that 46% of home owners have a vegetable garden. How large a sampl.e is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 95% confidence?
Does age make a difference in the amount of savings a worker feels is needed to be secure at retirement? Suppose 210 workers in the 25-33 age category and 176 workers in the 34-52 age category were involved in this study.
Suppose population standard deviation for those drinking regular coffee is 1.20 cups per day and 1.36 cups per day for those drinking decaffeinated coffee.
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
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