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The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
a) Find the probability that the family's monthly gaoline purchases will be between 88 and 98 gallons.
b) Find the probability that the family's monthly gasoline purchases will be less than 100 gallons.
c) Find the probability that the family's monthly gasoline purchases will be more than 78 gallons.
Find the area under the normal distribution curve to the right of z = -1.03.
For the sample of men, performance on the simulator task declined by an average of 2.9 points with s = 4.1. Is this a statistically significant change? Use a two-tailed test with = .05.
Suppose normality, determine a 90% confidence interval for population variance.
Let X be the random variable which denotes the number of saves that are made by the lacrosse goalie. Find the expected value and standard deviation of the random variable.
Compare these with the percentages specified by Tchebysheff's Theorem.
Would you be willing to provide an example of both methods (step by step) described in your document for determining the forecast based upon the two different methods. Maybe just for one single city.
To determine the public's opinion of the police department, the police chief obtains a cluster sample of 15 census tracts within his jurisdiction and samples all households in the randomly selected tracts. Uniformed police officers go door to door..
Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in.
To investigate this belief, he randomly samples 41 adult women and records their weights. The scores have a mean of 111 lbs. and a standard deviation of 12.4. A local census taken several years ago shows the mean weight of adult women was 115 lbs.
Data collected by a child development scientist produced a 95% confidence interval for the mean age, μ (in weeks) at which babies began to craw as [21.4, 31.6]
The mean, median, and mode are the most common measures of dispersion (spread).
Difference in the mean number of times men and women order take-out dinners in a month? What is the p-value?
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