34% of the 500 Snow students in the survey chose "very satisfied". What is a 95% confidence interval for the proportion of all Snow students that are "very satisfied"?

We cannot create a confidence interval because the sample is not large enough.

34% of the 500 Snow students in the survey chose "very satisfied". The 95% confidence interval for the proportion of all Snow students that are "very satisfied" was (0.29848, 0.38152). What is the correct interpretation?

We are 95% confident the true proportion of all Snow students that are "very satisfied" is between (0.29848, 0.38152)

There is a 95% probability that the true proportion of all Snow students that are "very satisfied" is between (0.29848, 0.38152)

We are 95% confident the sample proportion of Snow students that are "very satisfied" is between (0.29848, 0.38152)

The interval is invalid because the requirements were not met.

Suppose we know that the proportion of college students nationwide that are "very satisfied" is 0.26. The proportion of the 500 Snow students in the survey chose "very satisfied" was 0.34. What hypothesis test would we use to determine whether the proportion of Snow students that are "very satisfied" is higher than the students nationwide?

A 1-sample Z-Test of a proportion

No hypothesis test is needed. Since 0.34 > 0.26 we can conclude that more Snow students are very satisfied than students nationwide.

A 2-sample Z-Test of proportions

Suppose we know that the proportion of college students nationwide that are "very satisfied" is 0.26. The proportion of the 500 Snow students in the survey chose "very satisfied" was 0.34. What are the hypotheses for the test?

$$H_0:\ p=0.26$$ $$H_A:\ p>0.26$$

$$H_0:\ p_1=p_2$$ $$H_A:\ p_1>p_2$$

$$H_0:\ p>0.26$$ $$H_A:\ p=0.26$$

$$H_0:\ p=0.34$$ $$H_A:\ p>0.34$$

Suppose the proportion of college students nationwide that are "very satisfied" is 0.26. The proportion of the 500 Snow students in the survey chose "very satisfied" was 0.34. The hypotheses were $$H_0:\ p=0.26$$ and $$H_A:\ p>0.26$$ . If the p-value was 0.000027 and $$\alpha=0.05$$ , what is the correct conclusion?

Reject $$H_0$$ . There is sufficient evidence that the proportion of Snow Students who are very satisfied is higher than the nation.

Reject $$H_0$$ . There is insufficient evidence that the proportion of Snow Students who are very satisfied is higher than the nation.

Fail to reject $$H_0$$ . There is sufficient evidence that the proportion of Snow Students who are very satisfied is higher than the nation.

Fail to reject $$H_0$$ . There is insufficient evidence that the proportion of Snow Students who are very satisfied is higher than the nation.

Suppose for all people IQ is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a randomly selected person has an IQ higher than 115?

Not enough information to the problem.

Suppose for all people IQ is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that the mean IQ of 5 randomly selected people is higher than 115?

$$P\left(\overline{X}>115\right)=0.013$$

$$P\left(\overline{X}>115\right)=0.159$$

$$P\left(\overline{X}>115\right)=0.054$$

Not enough information to the problem.

A researcher wants to determine the effect of Mozart music on English exam performance. The researcher recruited 230 random students at a local college to take an English exam. Each student was randomly assigned to take the exam in silence or with Mozart piano concertos playing quietly in the background. What type of study is this?

A randomized, controlled, non-blind experiment.

A randomized, controlled, double-blind experiment.

A researcher wants to determine the effect of Mozart music on English exam performance. The researcher recruited 230 random students at a local college to take an English exam. Each student was randomly assigned to take the exam in silence or with Mozart piano concertos playing quietly in the background. What is the treatment?

The room the student took the exam in.

A total of 113 students took the exam in silence. Their average score was 83.5 with a standard deviation of 7.5. A total of 117 students took the exam with the Mozart piano concertos. Their average score was 82.3 with a standard deviation of 7.7. What hypothesis test should be used to determine if all students at the college would score higher, on average, with Mozart piano concertos playing than silence?

A 2-sample Z-Test of proportions

A total of 113 students took the final exam in silence. Their average score was 83.5 with a standard deviation of 7.5. A total of 117 students took the exam with the Mozart piano concertos. Their average score was 82.3 with a standard deviation of 7.7. What is the p-value for the hypothesis test testing the claim that the mean exam score for students listening to Mozart will be higher than silence?

It is not possible to obtain a p-value.

The hypotheses were $$H_0:\ \mu_M=\mu_S$$ and $$H_A:\ \mu_M>\mu_S$$ where $$\mu$$ is the mean score for all students and M and S refer to listening to Mozart or Silence. The prechosen level of significance was $$\alpha=0.05$$ . The p-value was 0.12. What is the correct conclusion?

Fail to reject $$H_0$$ . There is insufficient evidence that the mean exam score of all students listening to Mozart will be higher than the mean exam score of students who take it in silence.

Reject $$H_0$$ . There is sufficient evidence that the mean exam score of all students listening to Mozart will be higher than the mean exam score of students who take it in silence.

Reject $$H_0$$ . There is insufficient evidence that the mean exam score of all students listening to Mozart will be higher than the mean exam score of students who take it in silence.

Fail to reject $$H_0$$ . There is sufficient evidence that the mean exam score of all students listening to Mozart will be higher than the mean exam score of students who take it in silence.

A researcher wants to determine if reading level for children depends on their shoe size. They gather data for 500 randomly selected children. The correlation coefficient is $$r=0.82$$ , the coefficient of determination is $$r^2=0.67$$ and the regression equation relating reading level, L, to shoe size, S is $$L\ =\ 5.5S+29.5$$ . What kind of study is this?

A randomized, controlled, double-blind experiment.

A randomized, controlled, non-blind experiment.

A researcher wants to determine if reading level for children depends on their shoe size. They gather data for 500 randomly selected children. The correlation coefficient is $$r=0.82$$ , the coefficient of determination is $$r^2=0.67$$ and the regression equation relating reading level, L, to shoe size, S is $$L\ =\ 5.5S+29.5$$ . What is the correct interpretation of the relationship?

67% of the variability of reading level can be explained by shoe size.

82% of the variability of reading level can be explained by shoe size.

5.5% of the variability of reading level can be explained by shoe size.

29.5% of the variability of reading level can be explained by shoe size.

For the 500 randomly selected children, there was a strong positive linear correlation between shoe size and reading level of $$r=0.82$$ . 67% of the variability of reading level can be explained by their shoe size. Should we buy all children bigger shoes because that will increase their reading level?

No. There could be a lurking variable such as age. Correlation is not causation.

MATH 1040 Review

Quiz

•

Mathematics

•

University

•

Practice Problem

•

Hard

•

CCSS

HSS.IC.B.4, 7.SP.A.1, HSS.IC.B.3

+15

Standards-aligned

Richard Lambert

Used 7+ times

FREE Resource

26 questions

Show all answers

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A Snow College employee wants to know the proportion of Snow students that have a job. They set up a table at the bell tower and ask the first 200 students if they have a job. 80 of the students say yes. What proportion of the population have a job?

0.8

0.4

40%

UNKNOWN

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A Snow College employee wants to know the proportion of Snow students that have a job. They set up a table at the bell tower and ask the first 200 students if they have a job. 80 of the students say yes. What proportion of the sample have a job?

0.8

0.4

40%

UNKNOWN

Tags

CCSS.HSS.IC.B.4

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A Snow College employee wants to know the proportion of Snow students that have a job. They set up a table at the bell tower and ask the first 200 students if they have a job. The proportion of students in the sample with a job was 0.4. What kind of sampling technique was used?

Simple Random Sample

Systematic Sample

Cluster Sample

Stratified Sample

Convenience Sample

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A Snow College employee wants to know the proportion of Snow students that have a job. They set up a table at the bell tower and ask the first 200 students if they have a job. The proportion of students in the sample with a job was 0.4. Is the sample proportion a reliable estimate of the population proportion? Why or why not?

Yes. The sample was representative and large enough.

No. The sample was representative but not large enough.

No. Because this is a convenience sample, it might be biased.

Yes. The sample is large so it doesn't need to be random to be representative.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The next year, the Snow employee obtains a complete list of students from the registrar in alphabetical order. They start on the 5th student and select every 12th student from there to the end for a total of 500 students. What kind of sampling technique was used?

Simple Random Sample

Systematic Sample

Cluster Sample

Stratified Sample

Convenience Sample

Tags

CCSS.HSS.IC.B.3

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The survey asks the question "How satisfied are you with your experience here at Snow?" The possible answers are: "very dissatisfied, somewhat dissatisfied, neutral, somewhat satisfied, very satisfied." What kind of variable is that?

Numerical, discrete

Numerical, continuous

Categorical, ordinal

Categorical, nominal

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

The survey asks the question "How satisfied are you with your experience here at Snow?" The possible answers are: "very dissatisfied, somewhat dissatisfied, neutral, somewhat dissatisfied, very satisfied." Suppose of the 500 students, 170 chose "very satisfied". What proportion of students in the population are very satisfied?

0.34

1.7

34%

UNKNOWN

Tags

CCSS.HSS.IC.B.4

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