100 random samples were taken, and for each random sample we made a 95% confidence interval, about how many of those 100 confidence intervals would actually contain the parameter?
Increasing the confidence level (more than one)
a increase the width of a confidence interval
b increase the probability that the parameter is in the confidence interval
c increase the percentage of samples which will create a confidence interval that contains the parameter
d Increase the margin of error
A 95% confidence interval for a true mean is given by (3.3, 7.1). What is the margin of error for this interval?
a 0.95
b 1.9
c 7.6
d 3.8
The number of 95% confidence intervals out of 100 would actually contain the parameter is 100 *0.95 = 95
-------------------------
Increasing the confidence level (more than one)
a increase the width of a confidence interval
c increase the percentage of samples which will create a confidence interval that contains the parameter
d Increase the margin of error
-------------------
Let shows the sample mean and ME shows the margin of error so
Subtracting first equation from second gives
Correct option is b.
100 random samples were taken, and for each random sample we made a 95% confidence interval,...
19. When calculating a confidence interval, keeping the sample size the same but decreasing the confidence level, will a. decrease the width of the confidence interval b. decrease the margin of error c. make us less sure that our confidence interval contains the true parameter d. all of the above 20. A research company polled a random sample of 799 U.S. teens about internet use.0.49 of those teens reported that they had misrepresented their age online to gain access to...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....
sample should be taken to provide a 95% confidence interval with a margin of error of .05? At 95% confidence, how large a sample should be taken to obtain a margin of error of .03 for the estimation of a population proportion? Assume that past data are not available for developing a planning value for p* 34.
1 a) Approximately 95% of all values of a normally distributed populations lie within how many standard deviations of the population mean b) A random sample of ten items is taken from a population. The items have the following values: 9 32 37 32 21 24 10 15 21 30. Find the point estimate for the confidence interval c) State what effect on the margin of error for a confidence interval each of the following will have. i) Increase sample...
Let's say we have constructed a 95% confidence interval estimate for a population mean. Which of the following statements would be correct? A. We expect that 95% of the intervals so constructed would contain the true population mean. B. We are 95% sure that the true population mean lies either within the constructed interval or outside the constructed interval. C. Taking 100 samples of the same size, and constructing a new confidence interval from each sample, would yield five intervals...
Suppose that you take 800 simple random samples from a population and that, for each sample, you obtain a 99% confidence interval for an unknown parameter. Approximately how many of the confidence intervals will contain the value of the unknown parameter? Round to a whole number.
The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.9 x2 = 20.1 s1 = 2.6 s2 = 4.8 (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) ? (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.) ? to...
Based on a random sample of 120 rhesus monkeys, a 95% confidence interval for the proportion of rhesus monkeys that live in a captive breeding facility and were assigned to research studies is (0.67, 0.83). Which of the following is true? A. If we used a different confidence level, the point estimate would remain in the center of the confidence interval. B. A larger sample size would yield a wider confidence interval. C. The margin of error for the confidence...
113 The margin of error for the 95% confidence interval of the mean fill is. 2 A 0.48 3 B 0.41 4 C 0.36 5 D 0.32 714 As a class project, each of 280 students taking E270 is required to obtain a sample of n = 100 students and build a B 95% confidence interval for the distance travelled to the campus. The instructor thus receives 280 different interval e estimates. The instructor would expect_ ofthese intervals to capture...
Two random samples are taken independently of one another and 90% confidence are calculated for each. If 10 is actually the true population mean, what is the probability that neither interval contains 10?