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Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking-even if they are not exposed to the usual pattern of sunlight. 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. They could turn the lights on and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25.
By using 0.05 level of significance, is there any evidence of difference in mean life of bulbs produced by two kinds of machines?Calculate p-value and interpret its meaning.
Calculate the z - scores for the three samples, compare the z score to the t-statistic, is the null hypothesis accepted or rejected?
For each of the following problems, assume that the homogeneity of variance assumption has not been met and that you will need to use the adjusted Welch statistic.
Supposing that the entire $10,000 can be spent on tires (ignoring other costs), and that the true fraction that will fail is approximately .05, can NHTSA attain its goal while staying within the budget? Describe.
The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. Find the explanatory variable(s) in this study are
This table gives three measurements of 10 samples made in a production run. Use statistical process control method to solve problem.
Find out the confidence interval for the population mean also interpret the result. A researcher is interested in whether social assertiveness might be influenced by training procedures.
Which of the following assumptions for inference about a proportion using a confidence interval are violated,
Would the null hypothesis be accepted or rejected in this case?
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
A sample of 10 urgent and non-urgent patients was conducted to determine average wait time. The hospital wants to be sure that urgent patients do not wait as long as non-urgent patients. The following hypotheses have been formulated.
Standard deviations for first- and second-time and confidence interval
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