Q1. Is injecting medical cement effective in reducing pain for people who have suffered fractured vertebrae? A paper des

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Q1. Is injecting medical cement effective in reducing pain for
people who have suffered fractured vertebrae? A paper describes an
experiment to compare patients who underwent vertebroplasty (the
injection of cement) to patients in a placebo group who underwent a
fake procedure in which no cement was actually injected. Because
the placebo procedure was similar to the vertebroplasty procedure
except for the actual injection of cement, patients participating
in the experiment were not aware of which treatment they
received.
All patients were asked to rate their pain at three different
times—3 days, 14 days, and 1 month after the procedure. Summary
statistics are given in the accompanying table.
(b) Construct and interpret a 95% confidence interval for the
difference in mean pain intensity 3 days after treatment for the
vertebroplasty treatment and the fake treatment.
(Use 𝜇Vertebroplasty − 𝜇Placebo. Round
your answers to two decimal places.) ------to-------?
(c)Construct and interpret 95% confidence intervals for the
difference in mean pain intensity at 14 days after treatment.
(Use 𝜇Vertebroplasty − 𝜇Placebo. Round
your answers to two decimal places.) ----to-----?
(d)Construct and interpret 95% confidence intervals for the
difference in mean pain intensity at 1 month after treatment.
(Use 𝜇Vertebroplasty − 𝜇Placebo. Round
your answers to two decimal places.) -------to------?
Q2. A report described teens' attitudes about traditional
media, such as TV, movies, and newspapers. In a representative
sample of American teenage girls, 42% said newspapers were boring.
In a representative sample of American teenage boys, 45% said
newspapers were boring. Sample sizes were not given in the
report.
(a) Suppose that the percentages reported had been based on a
sample of 50 girls and 40 boys. Is there
convincing evidence that the proportion of those who think that
newspapers are boring is different for teenage girls and boys?
Carry out a hypothesis test using
𝛼 = 0.05.
(Use a statistical computer package to calculate
the P-value. Use pgirls − pboys. Round
your test statistic to two decimal places and
your P-value to four decimal places.) find z and
p value.