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A fair coin is tossed 20 times and x=6 heads are observed. Let p=P(head). A test of Ho:p=.5 versus Ha: p<.05 is to be performed based upon the results of the 20 tosses. What is the p-value for th
In a past election, the voter turnout was 51%. In a survey, 843 subjects were asked if they voted in the election. Find the mean and standard deviation fot the numbers of voters in groups of 843.
Suppose that x1, x2, x3, x4, and x5 is a random sample from a distribution with density function: f(x) =1/theta for 0<x<theta. The null hypothesis theta=1 is to be tested against the alternati
If an exercise scientist wants to estimate the proportion of American adults who exercise for 30 minutes three or more times per week. He wants to construct a 90% confidence interval with a margin o
Steve and his friends are relaxing at a local tavern. The number of drinks that Steve's table receives is Poisson distributed with an average of 9 drinks per 3 hours. Write out the distribution and
In a study of the effectiveness of garlic for lowering cholesterol, 17 subjects were treated with Garlicin, which is garlic in a processed tablet form. The measurement of interest is the change in L
You earned a 7.1% nominal rate of return on your investments over the past year. But at the same time, the reported inflation rate was 3.1%. What was your real rate of return for the year (the perce
Explain how do you declare a variable as Binary or Integer in Excel Solver? 1.Briefly explain the results of a What-If analysis of the following LP model,
Find the mean and standard deviation for the number of times this letter will be found on a typical page of 3300 characters.
The time, T, between emissions radioactive emissions has an eponential distribution with a mean of 4 seconds between emissions. What is the parameter lambda of the exponetial distribution?
Several psychology students are unprepared for a surprise true/false test with 11 questions, and all of their answers or guesses. Find the mean and the standard deviation for the number of correct a
A sample of 850 people resulted in a confidence interval estimate for the proportion of people who believe that the Fed. Gov.'s proposed tex increse is justified is between .14 and .20. Based on thi
One environmental group did a study of recycling habits in a California community. It found that 70% of the aluminum cans sold in the area were recycled.
Golfweek reported in 2003 that the driving distance for the top 100 golfers on the PGA tour is between 287.7 and 310.6 yards. Assume that the driving distance is uniformly distributed over this inte
A club with 31 members is voting on a proposal. A group of 4 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 42% in favor of th
The AlphaCor Company experiences some type of failure on its computer network on average once every 4 hours. Assume that each failure is independent of all other failures and no two failures occur a
A new muscle relaxant is available. Researchers from the firm developing the relaxant have done studies that indicate that the time lapse between administration of the drug and beginning effects of
Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 is less than and equal to 1. Find the a) marginal density of X and b) the conditional density of Y given X = x.
What is the expected number of machine failures during the production run? Determine the number of spare machines required so that the probability of exceeding this number is 10%?
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and disease
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years he has noticed an increase in absenteeism that he thinks is related to the general health of th
Use normal approximation to estimate the probability of getting exactly 48 girls in 100 births. Assume that boys and girls are equally likely.
The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on
If a person bought one share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: Use percentiles, do not calcul
Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site.