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Question: One water quality standard for water that is discharged into a particular type of stream or pond is that the average daily water temperature be at most 18°C. Six samples taken throughout the day gave the data:
16.8 21.5 19.1 12.8 18.0 20.7
The sample mean x¯ = 18.15 exceeds 18, but perhaps this is only sampling error. Determine whether the data provide sufficient evidence, at the 10% level of significance, to conclude that the mean temperature for the entire day exceeds 18°C.
Why is it true that for a given sample size, n, an increase in confidence is achieved by widening (and making less precise) the confidence interval?
An experiment consists of rolling a special 22-sided die. All of the numbers, 1 through 22, are equally likely. Find the probability of each event.
a. Identify the population of interest to us in this problem. b. Would an answer to the question posed involve estimation or testing a hypothesis?
Formulate the null and alternative hypothesis for this management question (i.e. can the financial analyst conclude that there is no difference in the average earnings yield between companies in the manufacturing and retailing sectors?)
Under what conditions is the median a more meaningful measure of central tendency than the mean?- Why do researchers prefer the standard deviation as a measure of variability over the range?
A business trip is equally likely to take 2, 3, or 4 days. After a d-day trip, the change in the traveler's weight, measured as an integer number of pounds, is uniformly distributed between -d and d pounds. For one such trip, denote the number of..
Find the p-value of a two-tailed test if x (x bar) =51.8 and s =10.4. P= ___ (rd. to 4 dec. places). Find the p-value of an upper-tailed test if x (x bar) = 51.8 and s= 10.4. P= ___ (rd. to 4 dec. places)
At a certain construction site, the probability of an accident on any given day is 0.005, and the accidents that occur are independent of each other. What is the probability that, in any given period of 40 days, there will be an accident on one da..
When sampling is from a normal population with an unknown variance, is the sampling distribution of the sample mean normal? Explain.
The probability that a teacher will give an unannounced test during a class is 1/5. If a student is absent for two days.
(a) What is the distribution of the number of times this event occurs in 20 rolls? (b) Calculate the probability that the event occurs five times.
the door frames used in an industrialised building system are of one standard size. if the heights of adults are
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