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A manufacturer claims that the mean lifetime, , of its light bulbs is months. The standard deviation of these lifetimes is months. Thirty-six bulbs are selected at random, and their mean lifetime is found to be months. Assume that the population is normally distributed. Can we conclude, at the level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from months?
Perform a two-tailed test.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
The 2006 General Social Survey asked, "what do you think is the ideal number of children for a family to have?" The 1097 females who responded had a median of 2, mean of 3.16, and a standard deviation of 1.91.
Survey on marital status to determine whether the data is qualitative or quantitative
In an air-pollution study performed at an experiment station, the following amount of suspended benzene-soluble. Assuming that the population sampled is normal, construct 95% confidence interval for the corresponding true mean.
The standard deviation, over a long period of time, was computed to be 0.150 mm. What percent of the ball bearings on this line will have diameters of 20.27 mm or more?
Average number of mosquitoes in pond is 80 per square meter with a standard deviation of 12. If 16 square meters are choses at random for a mosquiot count, find probabilty that the average of those counts is more than 83.0 mosquitoes per square me..
Write a statistical laboratory report using the guidelines in the assigned article, "How to Write a Statistical Report."
Calculate a 95% upper confidence bound on the mean. Compare this bound with the upper bound of the two-sided confidence interval and discuss why they are different.
The proportion of the American population that has disease Z is p=0.02. If 60 people are randomly selected from the population, what is the probability that at least 1 of them has disease Z?
Derive rules to test whether a number is divisible by N, where N ranges from 2 to 13. E.g. A number is divisible by 3 if the sum of the digits is divisible by 3.
One sample has SS = 48 and a second sample has SS = 32. When both samples have n =5, what is each sample variance and computed pooled variance?
The distribution is normal. The mean numbers of trials to learn maze for the group with the colrful wallpaper is 11. What is the standard deviation of the distribution of means?
Permutation chi square test to a regular chi square table test. What happens in situations, where assumptions of a chi square test are violated? Discuss.
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