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Chapter 9: Q.101 (page 592)
You are testing against based on an SRS of observations from a Normal population. What values of the statistic are statistically significant at thelevel?
(a)
(b)
(c)
(d)
(c)
The values of the statistic are statistically significant at the level is (d)
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During the winter months, the temperatures at the Colorado cabin owned by the Starnes family can stay well below freezing (32掳F or 0掳C) for weeks at a time. To prevent the pipes from freezing, Mrs Starnes sets the thermostat at 50掳F. The manufacturer claims that the thermostat allows variation in-home temperature of S 3掳F. Mrs Starnes suspects that the manufacturer is overstating how well the thermostat works.
For the study of Jordanian children in Exercise 4, the sample mean hemoglobin level was 11.3 g/dl and the sample standard deviation was 1.6 g/dl. A significance test yields a P-value of 0.0016.
(a) Interpret the P-value in context.
(b) What conclusion would you make if = 0.05? = 0.01? Justify your answer.
An SRS of 100 postal employees found that the average time these employees had worked at the postal service was years with standard deviation years. Do these data provide convincing evidence that the mean time of employment M for the population of postal employees has changed from the value of that was true years ago? To determine this, we test the hypotheses versus using a one-sample test. What conclusion should we draw at the significance level?
(a) There is convincing evidence that the mean time working with the postal service has changed.
(b) There is not convincing evidence that the mean time working with the postal service has changed.
(c) There is convincing evidence that the mean time working with the postal service is still years.
(d) There is convincing evidence that the mean time working with the postal service is now years.
(e) We cannot draw a conclusion at the significance level. The sample size is too small.
Losing weight A Gallup Poll found that 59% of the people in its sample said 鈥淵es鈥� when asked, 鈥淲ould you like to lose weight?鈥� Gallup announced: 鈥淔or
results based on the total sample of national adults, one can say with 95% confidence that the margin of (sampling) error is 魛伅3 percentage points.鈥�16 Can we use this interval to conclude that the actual proportion of U.S. adults who would say they want to lose weight differs from 0.55? Justify your answer.
Better barley Does drying barley seeds in a kiln increase the yield of barley? A famous experiment by William S. Gosset (who discovered the t distributions) investigated this question. Eleven pairs of adjacent plots were marked out in a large field. For each pair, regular barley seeds were planted in one plot and kiln-dried seeds were planted in the other. The following table displays the data on yield (lb/acre).
(a) How can the Random condition be satisfied in this study?
(b) Perform an appropriate test to help answer the research question. Assume that the Random condition is met. What conclusion would you draw?
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