Question 1

Type I errors and Type II errors are complementary events so that $\alpha = P$ (Type I error) $=$ $1 - P$ (Type II error $) = 1 - \beta$.

Accepted Answer

A) True 
 B)False

Question 2

Data were collected from the sale of 25 properties by a local real estate agent. The following printout concentrated on the land value variable from the sampled properties. HYPOTHESIS: MEAN $X = x$

SD. ERROR $= 3308.43$
Suppose we are interested in testing whether the mean land value from this neighborhood differs from 42,782 . Which hypotheses would you test?

Accepted Answer

A)  $H _ { 0 } : \mu \neq 42,782$ vs. $H _ { \mathrm { a } } : \mu = 42,782$ 
B)  $H _ { 0 } : \mu = 42,782$ vs. $H _ { \mathrm { a } } : \mu  42,782$ 
D)  $H _ { 0 } : \mu = 42,782$ vs. $H _ { \mathrm { a } } : \mu \neq 42,782$ 
A)  $H _ { 0 } : \mu \neq 42,782$ vs. $H _ { \mathrm { a } } : \mu = 42,782$ 
B)  $H _ { 0 } : \mu = 42,782$ vs. $H _ { \mathrm { a } } : \mu  42,782$ 
D)  $H _ { 0 } : \mu = 42,782$ vs. $H _ { \mathrm { a } } : \mu \neq 42,782$

Question 3

Consider a test of $\mathrm { H } _ { 0 } : \mu = 80$ performed with the computer. SPSS reports a two-tailed p-value of $0.0070$. Make the appropriate conclusion for the given situation: $\mathrm { H } _ { \mathrm { a } } : \mu \neq 80 , z = 2.7 , \alpha = 0.01$

Accepted Answer

A)  Fail to reject $\mathrm { H } _ { 0 }$ 
B)  Reject $\mathrm { H } _ { 0 }$ 
A)  Fail to reject $\mathrm { H } _ { 0 }$ 
B)  Reject $\mathrm { H } _ { 0 }$

Question 4

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 51 students and asked each to provide the amount of time they spent traveling to campus. The sample results found that the sample mean was $23.243$ minutes and the sample standard deviation was $20.40$ minutes. It is desired to determine if the population standard deviation exceeds 20 minutes. Calculate the test statistic for this test of hypothesis.

Accepted Answer

A)  $\chi ^ { 2 } = 58.11$ 
B)  $\chi ^ { 2 } = 52.02$ 
C)  $\chi ^ { 2 } = 51$ 
D)  $\chi ^ { 2 } = 53.06$ 
A)  $\chi ^ { 2 } = 58.11$ 
B)  $\chi ^ { 2 } = 52.02$ 
C)  $\chi ^ { 2 } = 51$ 
D)  $\chi ^ { 2 } = 53.06$

Type I errors and Type II errors are complementary events so that $\alpha = P$ (Type I error) $=$ $1 - P$ (Type II error $) = 1 - \beta$ .

Consider a test of $\mathrm { H } _ { 0 } : \mu = 80$ performed with the computer. SPSS reports a two-tailed p-value of $0.0070$ . Make the appropriate conclusion for the given situation: $\mathrm { H } _ { \mathrm { a } } : \mu \neq 80 , z = 2.7 , \alpha = 0.01$

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Exam 8: Inferences Based on a Single

Type I errors and Type II errors are complementary events so that α=P\alpha = Pα=P (Type I error) === 1−P1 - P1−P (Type II error )=1−β) = 1 - \beta)=1−β .