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An entomologist writes an article in a scientific jourmal which claims that fewer than 17 in ten thousand fireflies are unable to produce light due to a genetic mutation. express the null hypothesis and the alternative hypothesis in symbolic form.
Assume that the mean parameter θ for the RV L is unknown. To estimate it, a random sample of n = 10 light bulbs is selected, and the lifetime of each light bulb is measured. Let X denote the number of those 10 sampled light bulbs that burn longer ..
A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is 0.02 inches.
In random, independent samples of 250 adults and 375 teenagers who watched a certain television show, 147 adults and 228 teens indicated that they liked the show.
Tests of hypothesis for two populations. List one test statistic that could be used for comparing two populations with hypothesis testing. Can you think of an example where this could be used?
Using the results, describe the effect of an outlier or extreme value on the confidence interval.
If 700 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?
Chi-square tests are great to show if distributions differ or if two variables interact in producing outcomes. What are some examples of variables that you might want to check using the chi-square tests? What would these results tell you?
Determine the mean number of times the machine was used per day.
How much should you be willing to pay for this deal? Do you think you would actually pay that much? Why? Expected Value:? Pay it? Why?
According to the survey, 37% of the adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that:
Last week Sarah had exams in Math and in Spanish. On the Math exam, the mean was u, = 30 with a = 5, and Sarah had a score of X - 45. On the Spanish exam, the mean was u, = 60 with 0 = 6 and Sarah had a score of X = 65. For which class must Sarah ..
Use Chebyshev's theorem to find what percent of the values will fall between 241 and 349 for a data set with a mean of 295 and standard deviation of 18.
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