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Question
points. Assume that both dE(P, Q) and dC(P, Q) are measured in blocks. Round approximate results to the nearest tenth of a block.
P(4, −5), Q(−5, 1)
dE(P, Q) = _____________blocks
dC(P, Q) = _____________blocks
Question
average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 43.3 cases per year.
(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)lower limit
upper limit
margin of error
(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)lower limit
upper limit
margin of error
(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)lower limit
upper limit
margin of error
(d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase?
As the confidence level increases, the margin of error increases.
As the confidence level increases, the margin of error remains the same.
As the confidence level increases, the margin of error decreases.
(e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length?
As the confidence level increases, the confidence interval decreases in length.
As the confidence level increases, the confidence interval increases in length.
As the confidence level increases, the confidence interval remains the same length.
Question
practice.
(a) Let p represent the proportion of all medical doctors who have a solo practice. Find a point estimate for p. (Use 3 decimal places.)
(b) Find a 98% confidence interval for p. (Use 3 decimal places.)
lower limit
upper limit
Give a brief explanation of the meaning of the interval.
2% of the all confidence intervals would include the true proportion of physicians with solo practices.
98% of the all confidence intervals would include the true proportion of physicians with solo practices.
2% of the confidence intervals created using this method would include the true proportion of physicians with solo practices.
98% of the confidence intervals created using this method would include the true proportion of physicians with solo practices.
(c) As a news writer, how would you report the survey results regarding the percentage of medical doctors in solo practice?
Report the confidence interval.
Report p̂.
Report p̂ along with the margin of error.
Report the margin of error.
What is the margin of error based on a 98% confidence interval? (Use 3 decimal places.)
22.
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 26 out of 830 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish.
(a) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)
lower limit
upper limit
Give a brief explanation of the meaning of the interval.
1% of the confidence intervals created using this method would include the true catch-and-release mortality rate.
99% of the confidence intervals created using this method would include the true catch-and-release mortality rate.
1% of all confidence intervals would include the true catch-and-release mortality rate.
99% of all confidence intervals would include the true catch-and-release mortality rate.
(c) Is the normal approximation to the binomial justified in this problem? Explain.
No; np > 5 and nq < 5.
No; np < 5 and nq > 5.
Yes; np < 5 and nq < 5.
Yes; np > 5 and nq > 5.
Question
these numbers:
93. 175. 129. 92. 75. 94.116. 100
Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below.
Assume that the population of x values has an approximately normal distribution
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to one decimal place.) answer is thousand $$
x =
s =
(b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.) answer is thousand $$
lower limit
upper limit
16. From these numbers:
9.9, 9.6 ,10.1, 8.9 ,9.4, 9.8, 10.0,,9.9 ,11.2, 12.1
Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient’s total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (Round your answers to two decimal places.)
x = mg/dl
s = mg/dl
(b) Find a 99.9% confidence interval for the population mean of total calcium in this patient’s blood. (Round your answer to two decimal places.)
lower limit mg/dl
upper limit mg/dl
(c) Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain.
Yes. This confidence interval suggests that the patient may still have a calcium deficiency.
Yes. This confidence interval suggests that the patient no longer has a calcium deficiency.
No. This confidence interval suggests that the patient may still have a calcium deficiency.
No. This confidence interval suggests that the patient no longer has a calcium deficiency.
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