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The scores, X, of an examination may be assumed to be normally distributed with μ = 70 and σ2 = 49. What is the probability that:
(a) A score chosen at random will be between 80 and 85?
(b) A score will be greater than 75?
(c) A score will be less than 90?
(d) Interpret the meaning of (a), (b), and (c).
You read a report that says, "On the basis of the simple random sample of 100 high school seniors that took the SATM test this year, a confidence interval for µ is found to be 512.00 ± 25.76." What was the confidence level used to calculate this..
Assuming this is literally true, how can it be explained? What facts and/or statistics would you need to know to expose this misleading claim?
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a die is loaded so that the number 6 comes up three times as often as any other number. what is the probability of
Suppose the mean cannot be adjusted but the standard deviation can be reduced. What maximum value of the standard deviation would make 90% of the parts acceptable to the consumer? (Assume the mean to be 1.012)
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