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Suppose a simple random sample of size 43 is selected from a population with = 11. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).
1. The population size is infinite (to 2 decimals).
2. The population size is N = 50,000 (to 2 decimals).
3. The population size is N = 5000 (to 2 decimals).
4. The population size is N = 500 (to 2 decimals).
The average balance for customer accounts in The Reserve Fund at the time it was frozen by the Securities Exchange Commission (SEC) was $22,500, with a standard deviation of $7,500.
The null hypothesis is to be tested at the 10% level of significance. The critical value from the table is:
The number of runs with respect to the sample median is:
Construct a 90 percent confidence interval for the true mean weight. Describe factors which might cause variation in the weight of Tootsie Rolls during manufacture.
A state lottery involves the random selection of six different numbers between 1 and 28. If you select one six number combination, what is the probability that it will be the winning combination?
Suppose you want to sell your house and you have decided to accept the first offer exceeding M dollars, say. Assume that the offers are i.i.d. with common distribution F. Find the expected number of offers received before selling the house.
If zero can be the first digit and the numbers can be repeated, what is the probability Mr. Jones and Mrs. Smith select the same PIN? (Round your answer to 3 decimal places.)
Calculate a 95% confidence interval for the difference in the proportions of birth defects when the contaminated well was in use and when the contaminated well was not in use.
Calculate the population mean margin of error for a 90% confidence interval when sigma is 4 and sample size is 36. Standard IQ test has mean of 98 and standard deviation of 16.
A box contains four 40-W bulbs, five 6-W bulbs and six 70-W bulbs, if three bulbs are selected without replacement randomly. What is the probabilty that three are 70-W bulbs?
If the sample mean is 10.0 and the sample standard deviation is 0.15, find the 95% confidence interval estimate for the true mean.
Use this poll result to give 70%, 80%, 90% and 99% confidence intervals for the proportion of all adults who feel this way. What do your results show about the effect of changing the confidence level? (Use Excel)
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