Reference no: EM131061399
I. The administrator of a physical therapy facility has found that postoperative performance scores on a knee flexibility test have tended to follow a normal distribution with a standard deviation of 4. For a simple random sample of ten patients who have recently had knee surgery, the scores are as follows: 101, 92, 94, 88, 52, 93, 76, 84, 72, and 98. Construct and interpret the 90% and 95% confidence intervals for the population mean.
II. A simple random sample of 25 has been collected from a normally distributed population for which it is known that s= 17.0. The sample mean has been calculated as 342.0, and the sample standard deviation is s =14.9. Construct and interpret the 95% and 99% confidence intervals for the population mean.
III. Given the following observations in a simple random sample from a population that is approximately normally distributed, construct and interpret the 90% and 95% confidence intervals for the mean: 67 79 71 98 74 70 59 102 92 96
IV. According to Nielsen/NetRatings, the average visitor to amazon.com spends 19.7 minutes at the site. Assuming this finding to be based on a simple random sample of 20 visitors to the site, with a sample standard deviation of s = 4.0 minutes, and from a population that is approximately normally distributed, construct and interpret the 98% confidence interval for the population mean. Given this confidence interval, would it seem very unusual if another sample of this size were to have a mean visiting time of 18.5 minutes?
Interval captures the true population mean
: For each of the sample means listed, use the standard error of10.23 to find a 95% confidence interval and state whether or not the interval captures the true population mean of 53.48 million dollars. (1) mean=40 (2) mean=70 (3) mean=84
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Shape of the distribution of the number of books
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Explain the relationship between quality and productivity
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Recommend installation of the orifice meter
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Determining the confidence intervals for the population mean
: For a simple random sample of ten patients who have recently had knee surgery, the scores are as follows: 101, 92, 94, 88, 52, 93, 76, 84, 72, and 98. Construct and interpret the 90% and 95% confidence intervals for the population mean.
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Problem regarding the statistical inference
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