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The countries of Europe report that 46% of the labor force is female. The United Nations wonders if the percentage of females in the labor force is the same in the United States. Representatives from the United States Department of Labor plan to check a random sample of over 10,000 employment records on file to estimate a percentage of females in the United States labor force.
a. They select a random sample of 525 employment records, and find that 229 of the people are females. State the conditions needed to build a confidence interval.
b. Interpret the confidence interval in this context. Explain what 90% confidence means in this context.
c. Should the representatives from the Department of Labor conclude that the percentage of females in their labor force is lower than Europe's rate of 46%? Explain.
Choose the correct conclusion regarding the claim that the weights of statistics text vary more than the weights of text in general.
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
A nutritionist wants to estimate the mean amount of cholesterol in a certain variety of chicken eggs. She wants to be within 14 mg. with 99% confidence.
On a particular day during the most recent golf tournament, the organizer placed the whole (pin) in 0 back left corner of the green. 64 golfers played the hole with the new placement on that day. Find out the probability of the sample average numb..
A statistics instructor wants to know which route will get her to school the fastest. Each day from October 2 to November 15, when she gets to the turn point she checks the odometer on her car
When 297 college students are randomly selected and surveyed, it is found that 126 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
He is equally likely to select any. Billy leaves last and takes the one remaining hat. Let x be the number of cowboys who end up with the correct hat.
Construct a binomial distribution chart and table showing all of the outcomes if a woman would like to know all possible outcomes of having 3 children. Also show this using a probability tree diagram.
A coin is unbalanced such that it comes up tails 55% of the time. In an effort to prove that the coin is unfair, an experimenter flips the coin 50 times.
What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?
The average score for the sample is M = 76. For the general population of college students, writing scores form a normal distribution with a mean of µ = 70.
A hypothesis states a difference exists between two populations. Sometimes this is an obvious conclusion because the means will be very different.
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