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The population proportion of scientists who are women? Construct the 95% CI for the difference in proportions and examine whether that CI contains zero.
A manufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. How large a sample should she check in order to be 93 percent confident that the true prop
Estimate r2, the true variance of the resistance measurements, in a 90% confidence interval, if a sample of 15 resistors showed resistances with a standard deviation of 0.5 ohms.
100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the
Afterward, each mouse is given a hyperactivity rating score. The mean score was x_bar = 14.9 and s = 2.8. Give a 95% confidence interval for the population mean score μ.
A researcher wants to estimate the proportion of the population which possesses a given characteristic. A random sample of size 800 is taken resulting in 360 items which possess the characteristic.
If a random sample of 15 batteries is selected, find the probability that the mean battery life from the sample will be greater than 42 hours.
Construct a 95% confidence interval for the true proportion of the market who still refuse to visit any of the restaurants in the chain three months after the event
A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population.
the mean sat verbal score is 401, with a standard deviation of 97. Use the empirical rule to determine what percent of the scores lie between 207 and 498. (assume the data set has a bell-shaped dist
The average math SAT score is 500 with a standard deviation of 100. A particular high school claims that its students have unusually high math SAT scores. A random sample of 50 students from this sc
Two rolls are to be selected, one after the other. What is the probability of selecting a defective roll followed by another defective roll?
All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .79, the probability the second truck is available is .51, and the probab
Determine whether the given values can serve as the values of the probability distribution of some random variables that can take on the values 1, 2, and 3 and explain your answers.
Suppose you arrive at the decision that there is not enough evidence to reject the null hypothesis, could you have made a mistake? What type of error would result in that case?
Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assume that prior to offering this option package, Toyota wants to determine the perce
NASA estimates that the chance of a "critical-item failure" (that is, a catastrophic failure) within the U.S. Space Shuttle's main engines is 1 in 63 for each mission.
You are visiting the rainforest, but unfortunately your insect repellent has run out. It will never bother you with probability 0.6, independently of other mosquitoes. What is the expected time betwee
A study of business faculty at state supported institutions in Ohio revealed that the arithmetic mean salary for nine months is $52,000 and a standard deviation of $3,000. The study also showed that
What is the 95% confidence interval estimate of the mean undergraduate GPA for students admitted to the top graduate business schools (to 2 decimals)?
What is the probability that a bottle contains less than the stated weight? more than 520gms, within 10grms of the stated weight & weight that only 5% of bottles contain less than this weight?
Is there evidence of a difference in the mean battery life between the two types of digital cameras at the 95% confidence level.
A previous study indicated that the standard deviation was 4.6 days. How large a sample must be selected if the company wants to be 85% confident that the true mean differs from the sample mean by no
Contruct a confidence interval for the proportion of non-fatal accidents that involved a cell phone at a 95% confidence interval.
A random sample of 150 apples is collected and examined. the whole truckload of apples will be rejected if more than 5% of the sample is unsatisfactory. suppose that in fact 8% of the apples on the