Question 1

The mean score for all NBA games during a particular season was less than 92 points per game. Write the null
and alternative hypotheses.

Accepted Answer

The answer of The mean score for all NBA games...

Question 2

Find the critical values for a sample with $\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20$

Accepted Answer

A)  $\pm 3.106$ 
B)  $\pm 2.201$ 
C) ±1.796 
D) ±2.718 
A)  $\pm 3.106$ 
B)  $\pm 2.201$ 
C) ±1.796 
D) ±2.718

Question 3

A researcher claims that 71% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

Accepted Answer

A) two-tailed 
B) left-tailed 
C) right-tailed 
A) two-tailed 
B) left-tailed 
C) right-tailed

Question 4

You wish to test the claim that $\mu > 33$ at a level of significance of α $\alpha$ = 0.05 and are given sample statistics n = 50, $\overline { \mathrm { x } } = 33.3$ Assume the population standard deviation is 1.2. Compute the value of the standardized test statistic. Round your answer to two decimal places.

Accepted Answer

A) 1.77 
B) 2.31 
C) 0.98 
D) 3.11 
A) 1.77 
B) 2.31 
C) 0.98 
D) 3.11

Question 5

The mean age of bus drivers in Chicago is 51.5 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Accepted Answer

A) There is sufficient evidence to reject the claim μ $\mu$ = 51.5. 
B) There is not sufficient evidence to reject the claim μ = 51.5. 
C) There is sufficient evidence to support the claim μ $\mu$ = 51.5. 
D) There is not sufficient evidence to support the claim μ $\mu$ = 51.5. 
A) There is sufficient evidence to reject the claim μ $\mu$ = 51.5. 
B) There is not sufficient evidence to reject the claim μ = 51.5. 
C) There is sufficient evidence to support the claim μ $\mu$ = 51.5. 
D) There is not sufficient evidence to support the claim μ $\mu$ = 51.5.

Question 6

A trucking firm suspects that the mean life of a certain tire it uses is less than 35,000 miles. To check the claim,
the firm randomly selects and tests 18 of these tires and gets a mean lifetime of 34,350 miles with a standard
deviation of 1200 miles. At α $\alpha$ = 0.05, test the trucking firmʹs claim.

Accepted Answer

critical value @#IMG-DLM& standardized t

Question 7

The mean IQ of statistics teachers is greater than 160. Write the null and alternative hypotheses.

Accepted Answer

The answer of The mean IQ of statistics teachers is...

Question 8

A local group claims that the police issue at least 60 speeding tickets a day in their area. To prove their point,
they randomly select one month. Their research yields the number of tickets issued for each day. The data are
listed below. Assume the population standard deviation is 12.2 tickets. At α $\alpha$ = 0.01, test the groupʹs claim. $$\begin{array} { l l l l l l l l l l } 
70 & 48 & 41 & 68 & 69 & 55 & 70 & 57 & 60 & 83 \
32 & 60 & 72 & 58 & 88 & 48 & 59 & 60 & 56 & 65 \
66 & 60 & 68 & 42 & 57 & 59 & 49 & 70 & 75 & 63\
44
\end{array}$$

Accepted Answer

@#IMG-DLM& standardized test statistic @#IMG-DLM&

Question 9

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha$ Two-tailed test, $\mathrm { n } = 12 \cdot \alpha = 0.05$

Accepted Answer

A)  $\chi ^ { 2 } \mathrm {~L} = 3.816 , \chi ^ { 2 } \mathrm { R } = 21.920 ; \chi ^ { 2 }  21.920$ 
B)  $\chi ^ { 2 } \mathrm {~L} = 2.603 , \chi ^ { 2 } \mathrm { R } = 26.757 ; \chi ^ { 2 }  26.757$ 
C)  $\chi ^ { 2 } \mathrm {~L} = 3.053 , \chi ^ { 2 } \mathrm { R } = 24.725 ; \chi ^ { 2 }  24.725$ 
D)  $\chi ^ { 2 } \mathrm {~L} = 4.575 , \chi ^ { 2 } \mathrm { R } = 19.675 ; \chi ^ { 2 }  19.675$ 
A)  $\chi ^ { 2 } \mathrm {~L} = 3.816 , \chi ^ { 2 } \mathrm { R } = 21.920 ; \chi ^ { 2 }  21.920$ 
B)  $\chi ^ { 2 } \mathrm {~L} = 2.603 , \chi ^ { 2 } \mathrm { R } = 26.757 ; \chi ^ { 2 }  26.757$ 
C)  $\chi ^ { 2 } \mathrm {~L} = 3.053 , \chi ^ { 2 } \mathrm { R } = 24.725 ; \chi ^ { 2 }  24.725$ 
D)  $\chi ^ { 2 } \mathrm {~L} = 4.575 , \chi ^ { 2 } \mathrm { R } = 19.675 ; \chi ^ { 2 }  19.675$

Question 10

A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

Accepted Answer

A) left-tailed 
B) right-tailed 
C) two-tailed 
A) left-tailed 
B) right-tailed 
C) two-tailed

Question 11

Given $\mathrm { H } _ { 0 } : \mathrm { p }$ = 0.85 and α $\alpha$ = 0.10, which level of confidence should you use to test the claim?

Accepted Answer

A) 90% 
B) 95% 
C) 99% 
D) 80% 
A) 90% 
B) 95% 
C) 99% 
D) 80%

Question 12

A coin is tossed 1000 times and 570 heads appear. At α $\alpha$ = 0.05, test the claim that this is not a biased coin. Does
this suggest the coin is fair?

Accepted Answer

critical value @#IMG-DLM& standardized t

Question 13

The owner of a professional basketball team claims that the mean attendance at games is over 22,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed,
Right-tailed, or two-tailed.

Accepted Answer

A) right-tailed 
B) left-tailed 
C) two-tailed 
A) right-tailed 
B) left-tailed 
C) two-tailed

Question 14

A local politician, running for reelection, claims that the mean prison time for car thieves is less than the
required 4 years. A sample of 80 convicted car thieves was randomly selected, and the mean length of prison
time was found to be 3 years and 6 months, with a population standard deviation of 1 year and 3 months. At $\alpha$ α = 0.05, test the politicianʹs claim.

Accepted Answer

standardized test statistic @#IMG-DLM& r

Question 15

A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is
cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample
mean of 31.7 ounces with a population standard deviation of 0.70 ounce. Use a 0.01 significance level to test the
agencyʹs claim that the brewery is cheating its customers.

Accepted Answer

standardized test st

Question 16

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%$ determinedetermin whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

Accepted Answer

A) left-tailed 
B) right-tailed 
C) two-tailed 
A) left-tailed 
B) right-tailed 
C) two-tailed

Question 17

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu \neq 5$

Accepted Answer

A)  $\mathrm { H } _ { 0 } : \mu = 5$
  
B)  $\mathrm { H } _ { 0 } : \mu \geq 5$
  
C)  $\mathrm { H } _ { 0 } : \mu \leq 5$
  
D)  $\mathrm { H } _ { 0 } : \mu > 5$
  
A)  $\mathrm { H } _ { 0 } : \mu = 5$
  
B)  $\mathrm { H } _ { 0 } : \mu \geq 5$
  
C)  $\mathrm { H } _ { 0 } : \mu \leq 5$
  
D)  $\mathrm { H } _ { 0 } : \mu > 5$

Question 18

The mean score for all NBA games during a particular season was less than 104 points per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Accepted Answer

A) There is sufficient evidence to support the claim μ $\mu <$ 10104. 
B) There is sufficient evidence to reject the claim μ $\mu <$ 104. 
C) There is not sufficient evidence to reject the claim μ $\mu <$ 104. 
D) There is not sufficient evidence to support the claim μ $\mu <$ 10104. 
A) There is sufficient evidence to support the claim μ $\mu <$ 10104. 
B) There is sufficient evidence to reject the claim μ $\mu <$ 104. 
C) There is not sufficient evidence to reject the claim μ $\mu <$ 104. 
D) There is not sufficient evidence to support the claim μ $\mu <$ 10104.

Question 19

Given $\mathrm { H } _ { 0 } : \mu \geq 23.5 \text { and } \alpha = 0.05 \text {, }$ which level of confidence should you use to test the claim?

Accepted Answer

A) 90% 
B) 99% 
C) 80% 
D) 95% 
A) 90% 
B) 99% 
C) 80% 
D) 95%

Question 20

The mean IQ of statistics teachers is greater than 130. Identify the type I and type II errors for the hypothesis
test of this claim.

Accepted Answer

type I: re

The mean score for all NBA games during a particular season was less than 92 points per game. Write the null and alternative hypotheses.

Find the critical values for a sample with $\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20$

A researcher claims that 71% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

The mean age of bus drivers in Chicago is 51.5 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

The mean IQ of statistics teachers is greater than 160. Write the null and alternative hypotheses.

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha$ Two-tailed test, $\mathrm { n } = 12 \cdot \alpha = 0.05$

A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

Given $\mathrm { H } _ { 0 } : \mathrm { p }$ = 0.85 and α $\alpha$ = 0.10, which level of confidence should you use to test the claim?

A coin is tossed 1000 times and 570 heads appear. At α $\alpha$ = 0.05, test the claim that this is not a biased coin. Does this suggest the coin is fair?

The owner of a professional basketball team claims that the mean attendance at games is over 22,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed, Right-tailed, or two-tailed.

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%$ determinedetermin whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu \neq 5$ $The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. \mathrm { H } _ { \mathrm { a } } : \mu \neq 5$

The mean score for all NBA games during a particular season was less than 104 points per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Given $\mathrm { H } _ { 0 } : \mu \geq 23.5 \text { and } \alpha = 0.05 \text {, }$ which level of confidence should you use to test the claim?

The mean IQ of statistics teachers is greater than 130. Identify the type I and type II errors for the hypothesis test of this claim.

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With Two Samples

Correlation and Regression

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

Exam 7: Hypothesis Testing With One Sample

The mean score for all NBA games during a particular season was less than 92 points per game. Write the null and alternative hypotheses.

Find the critical values for a sample with n=12 and α=0.01 if H0:μ=20\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20n=12 and α=0.01 if H0​:μ=20

A researcher claims that 71% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

The mean age of bus drivers in Chicago is 51.5 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

The mean IQ of statistics teachers is greater than 160. Write the null and alternative hypotheses.

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α α\alphaα Two-tailed test, n=12⋅α=0.05\mathrm { n } = 12 \cdot \alpha = 0.05n=12⋅α=0.05

A brewery claims that the mean amount of beer in their bottles is at least 12 ounces. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

Given H0:p\mathrm { H } _ { 0 } : \mathrm { p }H0​:p = 0.85 and α α\alphaα = 0.10, which level of confidence should you use to test the claim?

A coin is tossed 1000 times and 570 heads appear. At α α\alphaα = 0.05, test the claim that this is not a biased coin. Does this suggest the coin is fair?

The owner of a professional basketball team claims that the mean attendance at games is over 22,000 and therefore the team needs a new arena. Determine whether the hypothesis test for this claim is left-tailed, Right-tailed, or two-tailed.

Given H0:p≥80% and Ha:p<80%\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%H0​:p≥80% and Ha​:p<80% determinedetermin whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. Ha:μ≠5\mathrm { H } _ { \mathrm { a } } : \mu \neq 5Ha​:μ=5

The mean score for all NBA games during a particular season was less than 104 points per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Given H0:μ≥23.5 and α=0.05, \mathrm { H } _ { 0 } : \mu \geq 23.5 \text { and } \alpha = 0.05 \text {, }H0​:μ≥23.5 and α=0.05, which level of confidence should you use to test the claim?

The mean IQ of statistics teachers is greater than 130. Identify the type I and type II errors for the hypothesis test of this claim.

Introduction to Statistics

Descriptive Statistics

Probability

Discrete Probability Distributions

Normal Probability Distributions

Confidence Intervals

Hypothesis Testing With Two Samples

Correlation and Regression

Chi-Square Tests and the F-Distribution

Nonparametric Tests Online and CD Only

Filters

Find the critical values for a sample with $\mathrm { n } = 12 \text { and } \alpha = 0.01 \text { if } \mathrm { H } _ { 0 } : \mu = 20$

Find the critical value and rejection region for the type of chi-square test with sample size n and level of significance α $\alpha$ Two-tailed test, $\mathrm { n } = 12 \cdot \alpha = 0.05$

Given $\mathrm { H } _ { 0 } : \mathrm { p }$ = 0.85 and α $\alpha$ = 0.10, which level of confidence should you use to test the claim?

A coin is tossed 1000 times and 570 heads appear. At α $\alpha$ = 0.05, test the claim that this is not a biased coin. Does this suggest the coin is fair?

Given $\mathrm { H } _ { 0 } : \mathrm { p } \geq 80 \% \text { and } \mathrm { H } _ { \mathrm { a } } : \mathrm { p } < 80 \%$ determinedetermin whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. $\mathrm { H } _ { \mathrm { a } } : \mu \neq 5$ $The alternative hypothesis is given with its graph. State the null hypothesis and sketch its graph. \mathrm { H } _ { \mathrm { a } } : \mu \neq 5$

Given $\mathrm { H } _ { 0 } : \mu \geq 23.5 \text { and } \alpha = 0.05 \text {, }$ which level of confidence should you use to test the claim?