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Elementary Statistics a Step by Step Approach

Allan G. Bluman

Chapter 8

Hypothesis Testing - all with Video Answers

Educators


Section 1

Steps in Hypothesis Testing-Traditional Method

03:42

Problem 1

Define null and alternative hypotheses, and give an example of each.

John Wells
John Wells
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02:54

Problem 2

What is meant by a type I error? A type II error? How are they related?

John Wells
John Wells
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01:12

Problem 3

What is meant by a statistical test?

John Wells
John Wells
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04:32

Problem 4

Explain the difference between a one-tailed and a two-tailed test.

John Wells
John Wells
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03:28

Problem 5

What is meant by the critical region? The noncritical region?

John Wells
John Wells
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Problem 6

What symbols are used to represent the null hypothesis and the alternative hypothesis?

Rashmi Sinha
Rashmi Sinha
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01:10

Problem 7

What symbols are used to represent the probabilities of type I and type II errors?

John Wells
John Wells
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01:43

Problem 8

Explain what is meant by a significant difference.

John Wells
John Wells
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01:14

Problem 9

When should a one-tailed test be used? A two-tailed test?

Jameson Kuper
Jameson Kuper
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02:42

Problem 10

In hypothesis testing, why can't the hypothesis be proved true?

John Wells
John Wells
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14:45

Problem 11

Using the $z \text { table (Table } \mathrm{E}),$ find the critical value (or values) for each.
$$
\begin{array}{l}{\text { a. } \alpha=0.10 \text { , two-tailed test }} \\ {\text { b. } \alpha=0.01, \text { right-tailed test }} \\ {\text { c. } \alpha=0.005 \text { , left-tailed test }} \\ {\text { d. } \alpha=0.01, \text { left-tailed test }} \\ {\text { e. } \alpha=0.05, \text { right-tailed test }}\end{array}
$$

John Wells
John Wells
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12:55

Problem 12

Using the $z \text { table (Table } \mathrm{E}),$ find the critical value
(or values) for each.
a. $\alpha=0.02,$ left-tailed test
b. $\alpha=0.05$, right-tailed test
c. $\alpha=0.01$, two-tailed test
d. $\alpha=0.04$, left-tailed test
e. $\alpha=0.02$, right-tailed test

John Wells
John Wells
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03:27

Problem 13

For each conjecture, state the null and alternative hypotheses.
a. The average weight of dogs is 15.6 pounds.
b. The average distance a person lives away from a toxic waste site is greater than 10.8 miles.
c. The average farm size in 1970 was less than 390 acres.
d. The average number of miles a vehicle is driven per year is $12,603$.
e. The average amount of money a person keeps in his or her checking account is less than $\$ 24$.

Evelyn Cunningham
Evelyn Cunningham
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03:28

Problem 14

For each conjecture, state the null and alternative hypotheses.
a. The average age of first-year medical school students is at least 27 years.
b. The average experience (in seasons) for an $\mathrm{NBA}$ player is 4.71 .
c. The average number of monthly visits/sessions on the Internet by a person at home has increased from 36 in 2009 .
d. The average cost of a cell phone is $\$ 79.95 .$
e. The average weight loss for a sample of people who exercise 30 minutes per day for 6 weeks is 8.2 pounds.

Evelyn Cunningham
Evelyn Cunningham
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