Chapter 9: Q. 9.6 (page 509)
Suppose the null hypothesis, , is: a patient is not sick. Which type of error has the greater consequence, Type or Type?
Type one error is the patient is sick which is opposite to the fact.
Type two error is the patient is not sick which is opposite to the fact.
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An article in the San Jose Mercury News stated that students in the California state university system take years, on
average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of
students and obtain a sample mean of with a sample standard deviation of Do the data support your claim at the
level?
"Blowing Bubbles," by Sondra Prull
Studying stats just made me tense,
I had to find some sane defense.
Some light and lifting simple play
To float my math anxiety away.
Blowing bubbles lifts me high
Takes my troubles to the sky.
POIK! They're gone, with all my stress
Bubble therapy is the best.
The label said each time I blew
The average number of bubbles would be at least .
I blew and blew and this I found
Fromblows, they all are round!
But the number of bubbles inblows
Varied widely, this I know.
per blow became the mean
They deviated by , and not.
From counting bubbles, I sure did relax
But now I give to you your task.
Wasa reasonable guess?
Find the answer and pass this test!
Assume the -value is . What type of test is this? Draw the picture of the p-value.
"Japanese Girls’ Names"
by Kumi Furuichi
It used to be very typical for Japanese girls’ names to end with “ko.” (The trend might have started around my
grandmothers’ generation and its peak might have been around my mother’s generation.) “Ko” means “child” in Chinese characters. Parents would name their daughters with “ko” attaching to other Chinese characters which have meanings that they want their daughters to become, such as Sachiko—happy child, Yoshiko—a good child, Yasuko—a healthy child, and so on.
However, I noticed recently that only two out of nine of my Japanese girlfriends at this school have names which end with “ko.” More and more, parents seem to have become creative, modernized, and, sometimes, westernized in naming their children.
I have a feeling that, while 70 percent or more of my mother’s generation would have names with “ko” at the end,
the proportion has dropped among my peers. I wrote down all my Japanese friends’, ex-classmates’, co-workers, and
acquaintances’ names that I could remember. Following are the names. (Some are repeats.) Test to see if the proportion has
dropped for this generation.
Ai, Akemi, Akiko, Ayumi, Chiaki, Chie, Eiko, Eri, Eriko, Fumiko, Harumi, Hitomi, Hiroko, Hiroko, Hidemi, Hisako,
Hinako, Izumi, Izumi, Junko, Junko, Kana, Kanako, Kanayo, Kayo, Kayoko, Kazumi, Keiko, Keiko, Kei, Kumi, Kumiko,
Kyoko, Kyoko, Madoka, Maho, Mai, Maiko, Maki, Miki, Miki, Mikiko, Mina, Minako, Miyako, Momoko, Nana, Naoko,
Naoko, Naoko, Noriko, Rieko, Rika, Rika, Rumiko, Rei, Reiko, Reiko, Sachiko, Sachiko, Sachiyo, Saki, Sayaka, Sayoko,
Sayuri, Seiko, Shiho, Shizuka, Sumiko, Takako, Takako, Tomoe, Tomoe, Tomoko, Touko, Yasuko, Yasuko, Yasuyo, Yoko, Yoko, Yoko, Yoshiko, Yoshiko, Yoshiko, Yuka, Yuki, Yuki, Yukiko, Yuko, Yuko.
Assume the null hypothesis states that the mean is at least . Is this a left-tailed, right-tailed, or two-tailed test?
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