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Chapter 9: Q.7 (page 537)
In a population of fish, approximately 42% are female. A test is conducted to see if, in fact, the proportion is less. State the null and alternative hypotheses.
The null and alternative hypotheses areandrespectively.
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A bathroom scale claims to be able to identify correctly any weight within a pound. You think that it cannot be that
accurate. What type of test would you use?
"Japanese Girls鈥� Names"
by Kumi Furuichi
It used to be very typical for Japanese girls鈥� names to end with 鈥渒o.鈥� (The trend might have started around my grandmothers鈥� generation and its peak might have been around my mother鈥檚 generation.) 鈥淜o鈥� means 鈥渃hild鈥� in Chinese characters. Parents would name their daughters with 鈥渒o鈥� attaching to other Chinese characters which have meanings that they want their daughters to become, such as Sachiko鈥攈appy child, Yoshiko鈥攁 good child, Yasuko鈥攁 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 鈥渒o.鈥� More and more, parents seem to have become creative, modernized, and, sometimes, westernized in naming their children.
I have a feeling that, while percent or more of my mother鈥檚 generation would have names with 鈥渒o鈥� at the end, the proportion has dropped among my peers. I wrote down all my Japanese friends鈥�, ex-classmates鈥�, co-workers, and acquaintances鈥� 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.
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?
Previously, an organization reported that teenagers spent hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was hours with a sample standard deviation of . Conduct a hypothesis test, the error is:
a. to conclude that the current mean hours per week is higher than , when in fact, it is higher
b. to conclude that the current mean hours per week is higher than , when in fact, it is the same
c. to conclude that the mean hours per week currently is , when in fact, it is higher
d. to conclude that the mean hours per week currently is no higher than , when in fact, it is not higher
A Nissan Motor Corporation advertisement read, 鈥淭he average man鈥檚 I.Q. is The average brown trout鈥檚 . So why can鈥檛 man catch brown trout?鈥� Suppose you believe that the brown trout鈥檚 mean I.Q. is greater than four. You catch brown trout. A fish psychologist determines the I.Q.s as follows: . Conduct a hypothesis test of your belief.
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