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Confidence interval for the population mean: Use of the standard normal
Scenario: The mean diastolic blood pressure for a random sample of 90 people was 92 millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be 12 millimeters of mercury, find a 90% confidence interval for the true mean diastolic blood pressure of all people. Then complete the questions below:
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
a) What is the lower limit of 90% confidence interval?
b) What is the upper limit of 90% confidence interval?
At the .05 significance level, can we conclude that the guideline is still reasonable?
Below you are given a partial computer output based on a sample of 16 observations.
If the pilot plant fails, Rob feels the chance of the full-scale facility succeeding is only 20%. The probability that the pilot plant will succeed is estimated at 0.6. Structure this problem with a decision tree and advise Rob what to do.
Which statement is true for a statistical study?
What is the null hypothesis? Use a = 0.05 .
Determine the range and standard deviation of the times.
The sample mean is 2.59 and the sample standard deviation is .66. Conduct the following test using 95% level of confidence.
Using the z table in Table E of Appendix C, what are the critical values for a two-tailed test when a = 0.03 .
Find out the Expected value of the perfect information for the given problem. Given the subsiquent cost tree, illustrate what is the expected outcome.
Given the binomial distribution with n = 23 and p = 0.79, would the normal distribution provide the reasonable approximation? Why or why not?
Construct a 95% confidence interval on the population mean for the following sample data set:
Critical Thinking: Discuss the implications of: magnitude (from 0 to 1); sign ( + or -); and probability versus causality for the Correlation Coefficient (also known as the Pearson Product-Moment Correlation Coefficient).
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