A psychologist compares the mean amount of time of rapid-eye movement (REM) sleep for subjects under three conditions. She randomly assigns 12 subjects to the three groups, four per group. The sample means for the three groups were 18, 15, and 12. The table shows the ANOVA table from SPSS.

REM sleep

Source	DF	SS	MS	F	P
Group	2	72.00	36.00	0.79	0.481
Error	9	408.00	45.33
Total	11	480.00

For the Tukey 95% multiple comparison confidence intervals comparing each pair of means, the margin of error for each interval is 13.3. Is it true or false that since all the confidence intervals contain 0, it is plausible that all three population means equal 0.

Two examples analyzed whether telephone callers to an airline would stay on hold different lengths of time, on average, if they heard

(a) an advertisement about the airline,

(b) Muzak, or

(c) classical music. The sample means were 5.4, 2.8, and 10.4, with $n_1$ = $n_2$ = $n_3$ = 5. The ANOVA test had F = 74.6/11.6 = 6.4 and a P-value of 0.013.

The confidence intervals are wide. In the design of this experiment, what could you change to estimate the differences in means more precisely?

Two examples analyzed whether telephone callers to an airline would stay on hold different lengths of time, on average, if they heard

(a) an advertisement about the airline,

(b) Muzak, or

(c) classical music. The sample means were 5.4, 2.8, and 10.4, with $n_1$ = $n_2$ = $n_3$ = 5. The ANOVA test had F = 74.6/11.6 = 6.4 and a P-value of 0.013.

The 95% confidence intervals are (0.3, 9.7) for $\mu_3$ - $\mu_1$ and (-2 .1, 7.3) for $\mu_1$ - $\mu2$. Interpret these two confidence intervals. Using these two intervals and the interval from part a, summarize what the airline company learn ed from this study.

Two examples analyzed whether telephone callers to an airline would stay on hold different lengths of time, on average, if they heard

(a) an advertisement about the airline,

(b) Muzak, or

(c) classical music. The sample means were 5.4, 2.8, and 10.4, with $n_1$ = $n_2$ = $n_3$ = 5. The ANOVA test had F = 74.6/11.6 = 6.4 and a P-value of 0.013.

The margin of error was 4.7 for this comparison. Without doing a calculation, explain why the margin of error is 4.7 for comparing each pair of means.

Two examples analyzed whether telephone callers to an airline would stay on hold different lengths of time, on average, if they heard

(a) an advertisement about the airline,

(b) Muzak, or

(c) classical music. The sample means were 5.4, 2.8, and 10.4, with $n_1$ = $n_2$ = $n_3$ = 5. The ANOVA test had F = 74.6/11.6 = 6.4 and a P-value of 0.013.

A 95% confidence interval comparing the population mean times that callers are willing to remain on hold for classical music and Muzak is (2.9, 12.3). Interpret this interval.

Do freshmen spent significantly more time on Facebook than other class ranks? A recent study (R. Junco, Journal of Applied Developmental Psychology, 2015, vol. 36, p. 18- 29) investigated the amount of time per day freshman, sophomores, juniors, and seniors spent on Facebook while doing schoolwork. The students surveyed were U.S. residents from a 4-year, public, primarily residential institution in the Northeastern United States. The data from the survey are available on the book 's website, with time measured in minutes. The following table shows the mean time each cohort spent on Facebook and an ANOVA table. Construct a 95% confidence interval to compare the population mean time spent per day on Facebook between freshmen and seniors.

For the House Selling Prices GI) OR data file on the book 's website, the table shows the result of conducting an ANOVA comparing mean house selling prices (in $1000) by Age Category (New = 0 to 24 years old, Medium = 25 to 50 years old, Old = 51 to 74 years old, Very Old = 75 + years old). It also shows a summary table of means and standard deviations of the selling prices, by age group.

Interpret the confidence interval.

The Anorexia data file on the book's website shows weight change for anorexic teenage girls who were randomly assigned to one of three psychological treatments (cognitive or family therapy and a control treatment). Use software to analyze these data. (The change scores are in the last three columns of the data set. Alternatively, the website also contains a data set that shows the data in "long" format, with the treatment in one column and the change score in another column.)

State and check the assumptions for the test in part b.

For the House Selling Prices GI) OR data file on the book 's website, the table shows the result of conducting an ANOVA comparing mean house selling prices (in $1000) by Age Category (New = 0 to 24 years old, Medium = 25 to 50 years old, Old = 51 to 74 years old, Very Old = 75 + years old). It also shows a summary table of means and standard deviations of the selling prices, by age group.

Using information given in the tables, show how to construct a 95% confidence interval comparing the population means of new and medium-aged houses.

The Anorexia data file on the book's website shows weight change for anorexic teenage girls who were randomly assigned to one of three psychological treatments (cognitive or family therapy and a control treatment). Use software to analyze these data. (The change scores are in the last three columns of the data set. Alternatively, the website also contains a data set that shows the data in "long" format, with the treatment in one column and the change score in another column.)

For the one-way ANOVA comparing the three mean weight changes, report the test statistic and P-value. Explain how to interpret.

The Anorexia data file on the book's website shows weight change for anorexic teenage girls who were randomly assigned to one of three psychological treatments (cognitive or family therapy and a control treatment). Use software to analyze these data. (The change scores are in the last three columns of the data set. Alternatively, the website also contains a data set that shows the data in "long" format, with the treatment in one column and the change score in another column.)

Construct box plots for the three groups. Use these and sample summary means and standard deviations to describe the three samples.

C.J. is a 48-year-old violinist in the local symphony. Before the performance this evening, she told a friend that she was experiencing what she called "the worst headache I've ever had" and that she had taken two extra-strength acetaminophen, but they "didn't touch my headache." During the performance, she stopped playing, reached up, grasped her head, and then fell unconscious. When the paramedics arrived, she was intubated and an IV line was started with normal saline.

On arrival at the emergency department, she has a Glasgow Coma Scale (GCS) score of 3. Her husband reports a history of hypertension and states she recently quit taking her medication because it made her feel tired. She is trying to quit smoking and is down to a half pack of cigarettes per day. She drinks alcohol socially on weekends and has a remote history of cocaine use. He says that she was complaining of worsening, intermittent headaches for the past few weeks.

After CT angiography is done, C.J. is diagnosed with a massive grade V SAH. She is transported to the intensive care unit for close monitoring. She is ventilator dependent, is unresponsive to verbal or painful stimuli, and has no physical movement. Her husband, mother, and children are at her bedside; several relatives and friends are in the waiting area. Treatment of SAH can include surgery, embolization, medications, and watchful waiting. What factors are considered in determining treatment?

C.J. is a 48-year-old violinist in the local symphony. Before the performance this evening, she told a friend that she was experiencing what she called "the worst headache I've ever had" and that she had taken two extra-strength acetaminophen, but they "didn't touch my headache." During the performance, she stopped playing, reached up, grasped her head, and then fell unconscious. When the paramedics arrived, she was intubated and an IV line was started with normal saline.

On arrival at the emergency department, she has a Glasgow Coma Scale (GCS) score of 3. Her husband reports a history of hypertension and states she recently quit taking her medication because it made her feel tired. She is trying to quit smoking and is down to a half pack of cigarettes per day. She drinks alcohol socially on weekends and has a remote history of cocaine use. He says that she was complaining of worsening, intermittent headaches for the past few weeks.

After CT angiography is done, C.J. is diagnosed with a massive grade V SAH. She is transported to the intensive care unit for close monitoring. She is ventilator dependent, is unresponsive to verbal or painful stimuli, and has no physical movement. Her husband, mother, and children are at her bedside; several relatives and friends are in the waiting area. What is the likely goal of treatment for C.J.?

An object hanging on a spring is pulled downward a distance of 100 cm from its equilibrium position (the origin) and released. It recoils upward past the origin to a height 90 cm above the origin. It continues to oscillate up and down about the origin, but with each oscillation the spring travels only $\frac{9}{10}$ of the last distance traveled. (a) Write an infinite series that models the object's movement. (b) Find the sum of the infinite series. (c) Interpret the sum of the infinite series in the context of the problem.