/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 35 It is believed that the mean hei... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 35 (page 538)

It is believed that the mean height of high school students who play basketball on the school team is 73inches with a standard deviation of 1.8inches. A random sample of 40players is chosen. The sample mean was 71inches, and the sample standard deviation was 1.5years. Do the data support the claim that the mean height is less than 73 inches? The p-value is almost zero. State the null and alternative hypotheses and interpret the p-value.

Short Answer

Expert verified

The alternate hypothesis and the null hypothesis are as follows:

H0:渭鈮�73Ha:渭<73

Step by step solution

01

Given information

A basketball team's average height is 73 inches, with a standard variation of 1.8 inches. The football team's average height is 71 inches, with a standard variation of 1.5 inches.

02

Explanation

The null hypothesis states that no statistical relationship exists between two variables, hence the researcher must always reject the inference.

The alternative hypothesis suggests that the two variables have a significant relationship.

For the provided data, the null and alternate hypotheses are:

H0:渭鈮�73Ha:渭<73

Because the p-value is set to zero, the alpha level is set to5%. The null hypothesis is rejected at this alpha level because the p-value is less than 0.05. As a result, there is sufficient evidence to support the assertion that the average height of the basketball team's players is less than 73 inches.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

"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 70 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.

According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes:

5;4;5;4;4;3;6;4;3;3;5;5;6;3;3;2;7;4;5;2;2;2;3;2

At 伪=0.05 level, is the class鈥� mean family size greater than the national average? Does the Almanac result remain valid? Why?

A survey in the N.Y. Times Almanac finds the mean commute time (one way) is 25.4 minutes for the 15largest US cities. The Austin, TX chamber of commerce feels that Austin鈥檚 commute time is less and wants to publicize this fact. The mean for 25randomly selected commuters is 22.1minutes with a standard deviation of 5.3minutes. At the 伪= 0.10 level, is the Austin, TX commute significantly less than the mean commute time for the 15largest US cities?

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year鈥檚 rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on

average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of

49students and obtain a sample mean of 5.1with a sample standard deviation of 1.2Do the data support your claim at the

1%level?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.