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1. What role does the central limit theorem play in the construction of a confidence interval for the population mean?
2. In using the standard normal distribution to construct a confidence interval for the population mean, what two assumptions are necessary if the sample size is less than 30?
3. The following data values are a simple random sample from a population that is normally distributed, with C2 5 25.0: 47, 43, 33, 42, 34, and 41. Construct and interpret the 95% and 99% confidence intervals for the population mean.
4. A simple random sample of 30 has been collected from a population for which it is known that C 5 10.0. The sample mean has been calculated as 240.0. Construct and interpret the 90% and 95% confidence intervals for the population mean.
5. A simple random sample of 25 has been collected from a normally distributed population for which it is known that C 5 17.0. The sample mean has been calculated as 342.0, and the sample standard deviation is s 5 14.9. Construct and interpret the 95% and 99% confidence intervals for the population mean.
A thorough examination reveals that there is nothing wrong with the filling machine. From a statistical standpoint, was there a type error made? If yes, which type? Explain.
a research team conducted a study showing that approximately 25 of all businessmen who wear ties wear them so tightly
Describe the types of probability -example of classical probability, empirical probability, or subjective probability.
a basketball coach wants to know how many free throws an nba player shoots during the course of an average practice.
A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one?
A certain chemical is converted into another chemical by a chemical reaction. The rate at which the first chemical is converted is proportional to the amount of this chemical present at any instant. Ten percent of the original amount of the first ..
The kernel of this homomorphism is the principal ideal (x-1). Therefore, Z[x]/(x-1) is isomorphic to Z. According to the correspondence theorem, ideals of Z[x]/(x-1) are in one-to-one correspondence with ideals of Z[x] containing (x-1). Taking int..
When the underlying average of a time series is very stable and there is no trend, cyclical, or seasonal influences,
Is there sufficient evidence to reject the claim that the mean annual income of teachers in state of Utah is greater than or equal to the mean annual income of teachers in Oregon? Perform a one-tailed test.
the average weight of adult men is 181 pounds with a standard deviation of 40 pounds.thirty five 35 men were asked
Florida State University administers a test of mathematics placement to students when they first enter the university.
what is the equation for the regression line if n 7 ?x 69 ?y 528 ?xy 4754 and x?sup2
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