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How do you prove that the expected value of the binomial distribution is equal to np?
According to the chebyshev's theorem, the maximum proportion of data values from data set which are more than 1.5 standard deviations from the mean is?
Crossett Trucking Company claims that mean weight of its delivery trucks when they're fully loaded is 6,100 pounds and standard deviation is 135 pounds. Suppose that the population follows the norma
Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use a = .05.
An entrepreneur owns six corporations, each with more than $10 million in assets. The entrepreneur consults the U.S. Internal Revenue Data Book and discovers that the IRS audits 15.3% of businesses
Write a correct null and alternative hypothesis that tests the claim that the mean distance a student commutes to campus is no less than 5.3 miles.
A researcher claims that the average age of people who buy lottery tickets is 63. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 5. At a = 0.05 is t
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
Suppose that the population of heights of female college students is approximately normally distributed with the mean m of 67.26 inches and standard deviation s of 5.96 inches. A random sample of 78
Find out whether each of the distributions given below represents probability distribution. Justify your answer.
Determine the probability that the student will successfully earn no less than the needed minimum score of 70% on the exam based solely upon randomly guessing answer for each question?
Rank the following data in increasing order and find out the positions and values of both the 22nd percentile and 65th percentile. Please show all of your work.
Find the mean, variance, and standard deviation. Please show all of your work.
Given following frequency distribution, find out the mean, variance, and standard deviation. Please show all of your work.
Construct both an ungrouped and grouped frequency distribution for data given below:
An insecticide company exposes 10,000 cockroaches to its newest product, as well as exposes another 10,000 to their previous formula. The researchers employ videotape to count how many cockroaches a
Determine the standard error of the mean with the following sample of 30 responses on 7 point scale, measuring whether an extremist hate group must be given a permit to demonstrate.
Assume the distribution of serum cholesterol values in undergraduate men is approximately normal with mean? = 190mg/dl and standard deviation? = 40mg/dl.
Employ the chi-square test of independence with a .01 level of significance to analyze the data. Compute the value of the test statistic (to 2 decimals).
With double-digit annual percentage raises in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004).
Where do women most frequently buy casual clothing? Data from U.S. Shopper Database provided the following percentages for women shopping at each of the different outlets (The Wall Street Journal, J
Find out the probability that the lights will be switched on in 1/2 hour after being activated and then switched off again in 15 mins. Find out the marginal density for X. Find E[X] and E[X2].
Shown here are one-year ratings for sample of 60 of the largest companies. Do the largest companies differ in performance from performance of 1000 companies in the Shareholder Scoreboard? Use? = .05
Assume that we have reason to doubt this claim and decide to do a statistical test of claim. We select a random sample of light bulbs manufactured by BIG and find out that the mean lifetime for this