1. Identify the CONCLUSION in a hypothesis test of the following claim and sample data:

Claim: "The average battery life (between charges) of this model of tablet is at least 12 hours."

A random sample of 80 of these tablets is selected, and it is found that their average battery life is 11.58 hours with a standard deviation of 1.93 hours. Test the claim at the 0.05 significance level.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

2. Identify the correct HYPOTHESES used in a hypothesis test of the following claim and sample data:

Claim: "The average annual household income in Warren County is $47,500." A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.

a.

H₀: = 47,500 vs. H₁: > 47,500

b.

H₀: = 47,500 vs. H₁: 47,500

c.

H₀: = 47,500 vs. H₁: < 47,500

d.

H₀: 47,500 vs. H₁: = 47,500

3. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data:

Claim: "The average annual household income in Warren County is $47,500."

A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.

a.

0.239

b.

2.374

c.

2.213

d.

2.33

4.Identify the absolute value of theCRITICALVALUE(S) used in a hypothesis test of the following claim and sample data:

Claim: "The average annual household income in Warren County is $47,500."

A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.

a.

0.239

b.

2.374

c.

2.213

d.

2.33

5. Identify the P-VALUE in a hypothesis test of the following claim and sample data:

Claim: "The average annual household income in Warren County is $47,500."

A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.

a.

0.027

b.

0.013

c.

0.030

d.

0.015

6. Identify the CONCLUSION of a hypothesis test of the following claim and sample data:

Claim: "The average annual household income in Warren County is $47,500."

A random sample of 86 households from this county is obtained, and they have an average annual income of $48,061 with a standard deviation of $2,351. Test the claim at the 0.02 significance level.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

44. Identify the correct HYPOTHESES used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of symptom-free placebo subjects is less than the proportion of symptom-free subjects who received a new supplement."

A medical researcher wants to determine if a new supplement is effective at reducing the duration of the common cold. Healthy subjects are intentionally infected with a cold-causing virus, and then given either a placebo or the new supplement one day later. Of the 267 subjects who were given a placebo, 33% were symptom-free a week later. And of the 289 subjects who were given the supplement, 56% were symptom-free after a week. Test the claim at the 0.01 significance level.

a.

H₀: p_placebo= p_supplementvs. H₁: p_placebo> p_supplement

b.

H₀: _placebo= _supplementvs. H₁: _placebo> _supplement

c.

H₀: _placebo= _supplementvs. H₁: _placebo< _supplement

d.

H₀: p_placebo= p_supplementvs. H₁: p_placebo< p_supplement

46. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of symptom-free placebo subjects is less than the proportion of symptom-free subjects who received a new supplement."

A medical researcher wants to determine if a new supplement is effective at reducing the duration of the common cold. Healthy subjects are intentionally infected with a cold-causing virus, and then given either a placebo or the new supplement one day later. Of the 267 subjects who were given a placebo, 33% were symptom-free a week later. And of the 289 subjects who were given the supplement, 56% were symptom-free after a week. Test the claim at the 0.01 significance level.

a.

-5.242

b.

-5.447

c.

-2.255

d.

-5.470

48. Identify theabsolutevalue of the CRITICAL VALUE(S) used in a hypothesis test of the following claim and sample data:

Claim: "The proportion of symptom-free placebo subjects is less than the proportion of symptom-free subjects who received a new supplement."

A medical researcher wants to determine if a new supplement is effective at reducing the duration of the common cold. Healthy subjects are intentionally infected with a cold-causing virus, and then given either a placebo or the new supplement one day later. Of the 267 subjects who were given a placebo, 33% were symptom-free a week later. And of the 289 subjects who were given the supplement, 56% were symptom-free after a week. Test the claim at the 0.01 significance level.

a.

1.28

b.

2.33

c.

2.575

d.

2.345

50. Identify the P-VALUE in a hypothesis test of the following claim and sample data:

Claim: "The proportion of symptom-free placebo subjects is less than the proportion of symptom-free subjects who received a new supplement."

A medical researcher wants to determine if a new supplement is effective at reducing the duration of the common cold. Healthy subjects are intentionally infected with a cold-causing virus, and then given either a placebo or the new supplement one day later. Of the 267 subjects who were given a placebo, 33% were symptom-free a week later. And of the 289 subjects who were given the supplement, 56% were symptom-free after a week. Test the claim at the 0.01 significance level.

a.

0.000 000 079 4 (or 7.9410^-8)

b.

0.000 000 022 6 (or 2.2610^-8)

c.

0.012

d.

0.024

51. Identify the CONCLUSION of a hypothesis test of the following claim and sample data:

Claim: "The proportion of symptom-free placebo subjects is less than the proportion of symptom-free subjects who received a new supplement."

A medical researcher wants to determine if a new supplement is effective at reducing the duration of the common cold. Healthy subjects are intentionally infected with a cold-causing virus, and then given either a placebo or the new supplement one day later. Of the 267 subjects who were given a placebo, 33% were symptom-free a week later. And of the 289 subjects who were given the supplement, 56% were symptom-free after a week. Test the claim at the 0.01 significance level.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.

52. Identify the correct HYPOTHESES used in a hypothesis test of the following claim and sample data:

Claim: "The average weekly number of hours spent studying by students who sit in the front of the classroom is greater than that of students who sit in the back of the classroom."

Dozens of randomly selected students were asked how many hours they study per week. There were 35 students who said that they tend to sit toward the front of the classroom, and their reported number of study hours per week had a mean of 17.26 and standard deviation of 9.34. There were 36 students who said they tend to sit toward the back of the classroom, and they had a mean of 11.08 and standard deviation of 8.64. The standard deviation for the population of students who sit in the front is assumed to be the same as that for those who sit in the back. Test the claim at the 0.01 significance level.

a.

H₀: _d= 0 vs. H₁: _d< 0

b.

H₀: _front= _backvs. H₁: _front< _back

c.

H₀: _front= _backvs. H₁: _front> _back

d.

H₀: _d= 0 vs. H₁: _d> 0

53. Identify the value of the TEST STATISTIC used in a hypothesis test of the following claim and sample data:

Claim: "The average weekly number of hours spent studying by students who sit in the front of the classroom is greater than that of students who sit in the back of the classroom."

Dozens of randomly selected students were asked how many hours they study per week. There were 35 students who said that they tend to sit toward the front of the classroom, and their reported number of study hours per week had a mean of 17.26 and standard deviation of 9.34. There were 36 students who said they tend to sit toward the back of the classroom, and they had a mean of 11.08 and standard deviation of 8.64. The standard deviation for the population of students who sit in the front is assumed to be the same as that for those who sit in the back. Test the claim at the 0.01 significance level.

a.

10.933

b.

2.895

c.

2.892

d.

13.281

54. Identify theabsolutevalue of the CRITICAL VALUE(S) used in a hypothesis test of the following claim and sample data:

Claim: "The average weekly number of hours spent studying by students who sit in the front of the classroom is greater than that of students who sit in the back of the classroom."

Dozens of randomly selected students were asked how many hours they study per week. There were 35 students who said that they tend to sit toward the front of the classroom, and their reported number of study hours per week had a mean of 17.26 and standard deviation of 9.34. There were 36 students who said they tend to sit toward the back of the classroom, and they had a mean of 11.08 and standard deviation of 8.64. The standard deviation for the population of students who sit in the front is assumed to be the same as that for those who sit in the back. Test the claim at the 0.01 significance level.

a.

2.438

b.

2.33

c.

2.441

d.

2.382

55. Identify the P-VALUE in a hypothesis test of the following claim and sample data:

Claim: "The average weekly number of hours spent studying by students who sit in the front of the classroom is greater than that of students who sit in the back of the classroom."

Dozens of randomly selected students were asked how many hours they study per week. There were 35 students who said that they tend to sit toward the front of the classroom, and their reported number of study hours per week had a mean of 17.26 and standard deviation of 9.34. There were 36 students who said they tend to sit toward the back of the classroom, and they had a mean of 11.08 and standard deviation of 8.64. The standard deviation for the population of students who sit in the front is assumed to be the same as that for those who sit in the back. Test the claim at the 0.01 significance level.

a.

0.0025

b.

5.66410^-13

c.

4.15510^-21

d.

0.0026

56. Identify the CONCLUSION of a hypothesis test of the following claim and sample data:

Claim: "The average weekly number of hours spent studying by students who sit in the front of the classroom is greater than that of students who sit in the back of the classroom."

Dozens of randomly selected students were asked how many hours they study per week. There were 35 students who said that they tend to sit toward the front of the classroom, and their reported number of study hours per week had a mean of 17.26 and standard deviation of 9.34. There were 36 students who said they tend to sit toward the back of the classroom, and they had a mean of 11.08 and standard deviation of 8.64. The standard deviation for the population of students who sit in the front is assumed to be the same as that for those who sit in the back. Test the claim at the 0.01 significance level.

a.

There is sufficient evidence to warrant rejection of the claim.

b.

There is not sufficient evidence to warrant rejection of the claim.

c.

There is not sufficient evidence to support the claim.

d.

There is sufficient evidence to support the claim.