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The life time of a certain kind of batteries has a mean life of 400 hours and standard deviation as 45 hours. Assuming the distribution of life time to be normal, find (i) the percentage of batteries with a life time of at least 470 hours (ii) the proportion of batteries with life time between 385 and 415 hours. (iii) the minimum life of the best 5% of batteries.
It is often stated in three-shift manufacturing organizations that the quality of work on the second shift is worse than on the first, and that the quality of work on the third shift is worst of all. How would you go about testing that premise?
A survey of middle-aged men reveals that 28% of them are balding at the crown of their heads. Moreover, it is known that 18% of all middle-aged men who have this balding pattern will suffer a heart attack in the next 10 years.
Some IQ tests are standardized to normal model with mean of 100 and the standard deviation of 16. Draw a model for these IQ scores, clearly label it , showing what the 65-95-99.7 rule predicts about the score.
What is an interaction? Describe an example; what are the variables within your population (work, social, academic, etc.) for which you might expect an interaction.
The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100.
At the .05 level of significance, can we conclude the Middletown students stayed in their districts less time than the Brockton students? Use the five-step hypothesis testing procedure.
Use a t test to test the claim about the population mean u at the given level of signifiance a using the given sample statistics. For each claim, assume the population is normally distributed.
What is the mean and standard deviation of the sampling distribution when we take all samples of size25?
After a certain candidate announced his intention for running for the premiership of a province, many polls were conducted to assess his chanced for success.
A person has purchased 5 of 1,000 tickets sold in a certain raffle. To determine the 10 prizewinners, 10 tickets are drawn at random and without replacement. compute the probability that he wins at least one prize.
Discovering that 12 will return to summer school. Construct a 90% confidence interval estimate for the fraction of current spring students who will return to summer school.
Suppose that 51% of the women who gave birth at a certain hospital last year were over 30 years old, and that 39% were unmarried.
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