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A certain brand of fluorescent light tube was advertised as having an effective life span before burning out of 4000 hours. A random sample of 84 bulbs was burned out with a mean illumination life span of 1870 hours with a sample standard deviation of 90 hours. Conduct a one-tailed hypothesis test at alpha=.10 to determine if this sample data provides sufficient evidence to indicate that the bulbs have their advertised life expectancy. Do NOT do a confidence interval.
You are one space short of winning a child's board game and must roll a 1 dice to claim victory. You want to know how many rolls it might take. Describe how you would simulate rolling the dice until you get 1.
A large population of metal rods have an average diameter of .943 inches with a standard deviation of .001 inches. The engineering specification for the rods requires that they be between .941 and .944 inches.
Find the probability that fewer than 5 are satisfied with the airlines. (c) Find the probability that 8 or more are satisfied with the airlines.
Test the hypothesis, at the 0.05 level of significance, that the size of a family is independent of the level of education attained by the father.
Last year, television station WXYZ's share of the 10 P.M. news audience was approximately equal to, but not greater than, 25%. The station's management believes (and would like to claim for advertising purposes) that the current share is higher th..
You're asked to determine whether the workers live in the community. Your personnel department provides the following table:
A recent study at a local college claimed that the proportion of students who commute more than fifteen miles to school is no more than 25%.
Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?).
A consumer watchdog agency selects a random sample of 40 taxpayers. What is the standard error of the mean? What is the likehood the sample mean is greater than 320 minutes?
Conditional and compound probabilities.The table below gives the distribution of blood types by gender in a group of 1000 individuals.
You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You decide on the 95 percent confidence level and state that the estimated proportion must be within 2 percent of the population proportion.
The manufacturer of Winston Tire Company claims its new tires last for an average 40,000 miles. An independent testing agency road-tested 20 tires to substantiate the claim made by the Winston Tire Company.
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