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The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 10: Q . AP3.24 (page 704)

The following dot plots show the average high temperatures (in degrees Celsius) for a sample of tourist cities from around the world. Both the January and July average high temperatures are shown. What is one statement that can be made with certainty from an Page Number: 704 analysis of the graphical display?
a. Every city has a larger average high temperature in July than in January.
b. The distribution of temperatures in July is skewed right, while the distribution of temperatures in January is skewed left.
c. The median average high temperature for January is higher than the median average high temperature for July.
d. There appear to be outliers in the average high temperatures for January and July.
e. There is more variability in average high temperatures in January than in July

Short Answer

Expert verified

The correct option is - (e) There is more variability in average high temperatures in January than in July .

Step by step solution

01

Given Information

We are given a graph which shows average high temperatures in January and July .

02

Explanation

We see there is more variability in the average high temperature for the month of January than July . In the month of July , the temperature seems to be more concentrated towards a specific section of high temperatures .

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Most popular questions from this chapter

American-made cars Nathan and Kyle both work for the Department of Motor Vehicles (DMV), but they live in different states. In Nathan’s state, $80 %$ of the registered cars are made by American manufacturers. In Kyle’s state, only $60 %$ of the registered cars are made by American manufacturers. Nathan selects a random sample of $100$ cars in his state and Kyle selects a random sample of $70$ cars in his state. Let $p^{n} - p^{k}$ be the difference (Nathan’s state – Kyle’s state) in the sample proportion of cars made by American manufacturers.

a. What is the shape of the sampling distribution of $p^{n} - p^{k}$ ? Why?

b. Find the mean of the sampling distribution.

c. Calculate and interpret the standard deviation of the sampling distribution.

According to sleep researchers, if you are between the ages of $12$ and $18$ years old, you need 9 hours of sleep to function well. A simple random sample of $28$ students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was $7.9$ hours with a standard deviation of $2.1$ hours.

Which of the following is the standardized test statistic for the hypothesis test ?

localid="1654221307488" $t = 7.9 - 92.128$ and $t = \frac{7.9 - 9}{\frac{2.1}{\sqrt{28}}}$
$t = 9 - 7.92.128$ and $t = \frac{9 - 7.9}{\frac{2.1}{\sqrt{28}}}$
$t = 7.9 - 92.128$ and $t = \frac{7.9 - 9}{\sqrt{\frac{2.1}{28}}}$
localid="1654221494579" $t = 7.9 - 92.127$ and $t = \frac{7.9 - 9}{\frac{2.1}{\sqrt{27}}}$
localid="1654221497857" $t = 9 - 7.92.127$ and $t = \frac{9 - 7.9}{\frac{2.1}{\sqrt{27}}}$

Shrubs and fire Fire is a serious threat to shrubs in dry climates. Some shrubs can

resprout from their roots after their tops are destroyed. Researchers wondered if fire would help with resprouting. One study of resprouting took place in a dry area of Mexico. The researchers randomly assigned shrubs to treatment and control groups. They clipped the tops of all the shrubs. They then applied a propane torch to the stumps of the treatment group to simulate a fire. All $12$ of the shrubs in the treatment group resprouted. Only $8$ of the $12$ shrubs in the control group resprouted.

a. State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest.

b. Check if the conditions for performing the test are met.

I want red! Refer to Exercise 1.

a. Find the probability that the proportion of red jelly beans in the Child sample is less than or equal to the proportion of red jelly beans in the Adult sample, assuming that the company’s claim is true.

b. Suppose that the Child and Adult samples contain an equal proportion of red jelly beans. Based on your result in part (a), would this give you reason to doubt the

company’s claim? Explain your reasoning.

A certain candy has different wrappers for various holidays. During Holiday $1$ , the candy wrappers are $30 %$ silver, $30 %$ red, and $40 %$ pink. During Holiday $2$ , the wrappers are $50 %$ silver and $50 %$ blue. In separate random samples of $40$ candies on Holiday $1$ and $40$ candies on Holiday $2$ , what are the mean and standard deviation of the total number of silver wrappers?

a. $32, 18.4$

b. $32, 6.06$

c. $32, 4.29$

d. $80, 18.4$

e. $80, 4.29$

See all solutions

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