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Company compared the performance of two temperature instruments: one coupled to a process computer and the other used for visual control. Ideally, these two instruments should agree. The following data are the two temperatures over a five day period:
Day 1 2 3 4 5Temp 1 84.6 84.5 84.4 84.6 84.3Temp 2 85.2 85.1 84.9 85.3 85
a. Conduct the most appropriate hypothesis test using a 0.05 significance level to determine if there is a statistically significant difference between the reading of both instruments.
b. Construct a 95% confidence interval for the true mean difference in temperature readings.
The mean construction time for a standard two-car garage by Arrowhead Construction Company is 3.5 days. The time for the construction process follows the normal distribution.
Joe is being audited by the IRS and must provide an estimate for his investment earnings over the next four years. After a thorough search, Joe can only find the following records.
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60%.
A recent census of a small town in Michigan showed that 60% of the residents are male, 20% have college degrees, and 15% are both male and college graduates.
Using the paired t test because the samples are correlated with each other could be another avenue. This would help us find the p-value and look at the statistical significance in evaluating the quality of care or outcomes in a medical home.
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).
To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time.
Note that Σ x = 2233 and Σ x 2 = 138,053. At the 5% level of significance, can the instructor conclude that the new mean is different from 64?
If mean height when these plants are treated with the certain chemical varies from 185. Define the null hypothesis H0 and alternative hypothesis H1 which we would use for this test.
Based on the data, determine the 95 percent confidence interval evaluate for true population mean?
Based on the answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
The mean of a normal distribution probability is 400 pounds. The standard deviation is 10. What is the area between 415 pounds and the mean of 400 pounds? (Round to 4 decimals)
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