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A ballroom dancing club consists of 10 married couples. A committee consisting of 6 members is to be selected.
(a) How many possible committees can be formed?
(b) Two of the men refuse to serve on the committee together. How many combinations can be formed with this restriction?
(c) How many committees can be formed such that it contains both members of exactly one of the married couples
The lifetime of a disk drive head is normally distributed with a population mean of 1000 hours and a standard deviation of 120 hours. Determine the probability that the lifetime for 9 disk drives will exceed 940 hours.
Part variability is critical in the manufacturing of ball bearings. Large variances in the size of the ball bearings cause bearing failure and rapid wearout.
a drug manufacturer claimed that the mean potency of one of its antibiotics was 80. a random sample of 100 capsules
if the mean per capita income in the u.s. is 39000 and the standard deviation is 5000. what percent of the
(a) Test the hypothesis that H0 : μ = 44 vs. Ha : μ /= 44 using α = 0.10. Draw a box plot and normal plot for this data, and comment. (b) Find a 90% con?dence interval for the population mean μ. (c) Discuss the meanings of (a) a..
describe the properties of central tendency and shape in numerical data. explain how to find the range variance and
What is the value of the test statistic and decision? Show step by step on how you obtained your final answer.
Of the 38 numbers on a roulette wheel, 18 are red, 18 are black and 2 are green. If the wheel is balanced, the probability of the wheel landing on red is 0.474.
Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for those workers.
1. acme corporation manufactures light bulbs. the ceo claims that an average acme light bulb lasts 300 days. a
In a sample batch of 46 mechanical pencils it is assumed that 18 are defective. If 5 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Cite an example of how you could/would apply a test of a hypothesis for a single population proportion, two tail test described in the lecture to real world situations?
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