Many printed airline tickets contain a 10-digit document number followed by a check digit.

Many printed airline tickets contain a 10-digit document number followed

by a check digit. The check digit is chosen to be the sum of the first 10 digits mod 7. Determine whether the given number is a valid document number.
5329649758 2

valid or invalid

 
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Write the contrapositive of the statement.

Write the contrapositive of the statement. If  a + b  ≠ 5, then a + b ≠ 25.

If a + b = 25, then

a + b

= 5.

If a + b = 25, then

a + b

≠ 5.

 

If a + b ≠ 25, then

a + b

= 5.

Use the contrapositive to determine whether the given statement is true or false.

True

False

 
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The accuracy of a census report on a city in southern California was questioned by some government officials

The accuracy of a census report on a city in southern California was

questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below.Ethnic OriginCensus PercentSample ResultBlack10%        140        Asian3%        44        Anglo38%        460        Latino/Latina41%        493        Native American6%        65        All others2%        13
Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
(a) What is the level of significance?

State the null and alternate hypotheses.
H0: The distributions are the same.
H1: The distributions are the same.
H0: The distributions are different.
H1: The distributions are different.
H0: The distributions are different.
H1: The distributions are the same.
H0: The distributions are the same.
H1: The distributions are different.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

Are all the expected frequencies greater than 5?
Yes
No

What sampling distribution will you use?
normal
chi-square
Student’s t
uniform
binomial

What are the degrees of freedom?

(c) Estimate the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.
Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.
At the 1% level of significance, the evidence is sufficient to conclude that census distribution and the ethnic origin distribution of city residents are different.
At the 1% level of significance, the evidence is insufficient to conclude that census distribution and the ethnic origin distribution of city residents are different.

 
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A bicycle tire has a diameter of 22 in. How many feet does the bicycle travel when the wheel makes 18 revolutions?

A bicycle tire has a diameter of 22 in. How many feet does the bicycle

travel when the wheel makes 18 revolutions? Round to the nearest hundredth of a foot.
feet

 
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the types of browse favored by deer are shown in the following table.

the types of browse favored by deer are shown in the following table.

Using binoculars, volunteers observed the feeding habits of a random sample of 320 deer.Type of BrowsePlant Composition
in Study AreaObserved Number of Deer
Feeding on This PlantSage brush          32%97                Rabbit brush          38.7%121                Salt brush          12%48                Service berry            9.3%28                Other            8%26
Use a 5% level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern.

 
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Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

Mr. Acosta, a sociologist, is doing a study to see if there is a relationship

between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Test whether age and type of movie preferred are independent at the 0.05 level.
Person’s Age
Movie18-23 yr24-29 yr30-35 yrRow TotalDrama718934Science Fiction1312530Comedy1010929Column Total30402393
(a) What is the level of significance?

State the null and alternate hypotheses.
H0: Age and movie preference are independent.
H1: Age and movie preference are not independent.
H0: Age and movie preference are independent.
H1: Age and movie preference are independent.
H0: Age and movie preference are not independent.
H1: Age and movie preference are independent.
H0: Age and movie preference are not independent.
H1: Age and movie preference are not independent.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

Are all the expected frequencies greater than 5?
Yes
No

What sampling distribution will you use?
binomial
chi-square
normal
Student’s t
uniform

What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100
0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.
Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.
At the 5% level of significance, there is sufficient evidence to conclude that age of young adult and movie preference are not independent.
At the 5% level of significance, there is insufficient evidence to conclude that age of young adult and movie preference are not independent.

 
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A new fuel injection system has been engineered for pickup trucks.

A new fuel injection system has been engineered for pickup trucks.

The new system and the old system both produce about the same average miles per gallon. However, engineers question which system (old or new) will give better consistency in fuel consumption (miles per gallon) under a variety of driving conditions. A random sample of 41 trucks were fitted with the new fuel injection system and driven under different conditions. For these trucks, the sample variance of gasoline consumption was 57.2. Another random sample of 25 trucks were fitted with the old fuel injection system and driven under a variety of different conditions. For these trucks, the sample variance of gasoline consumption was 37.9. Test the claim that there is a difference in population variance of gasoline consumption for the two injection systems. Use a 5% level of significance. How could your test conclusion relate to the question regarding the consistency of fuel consumption for the two fuel injection systems?
(a) What is the level of significance?

State the null and alternate hypotheses.
Ho: σ12 = σ22; H1: σ12 > σ22
Ho: σ12 > σ22; H1: σ12 = σ22
Ho: σ22 = σ12; H1: σ22 > σ12
Ho: σ12 = σ22; H1: σ12 ≠ σ22

(b) Find the value of the sample F statistic. (Round your answer to two decimal places.)

What are the degrees of freedom?dfN
dfD

What assumptions are you making about the original distribution?
The populations follow independent normal distributions. We have random samples from each population.
The populations follow dependent normal distributions. We have random samples from each population.
The populations follow independent normal distributions.
The populations follow independent chi-square distributions. We have random samples from each population.

(c) Find or estimate the P-value of the sample test statistic.
P-value > 0.200
0.100 < P-value < 0.200
0.050 < P-value < 0.100
0.020 < P-value < 0.050
0.002 < P-value < 0.020
P-value < 0.002

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret your conclusion in the context of the application.
Fail to reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.
Reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is greater in the new fuel injection systems.
Reject the null hypothesis, there is sufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.
Fail to reject the null hypothesis, there is insufficient evidence that the variance in consumption of gasoline is different in both fuel injection systems.

 
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Procedure or polices to neutralize gender inequality

If you had the power and authority to do so, what policies or procedures would you put in place to

neutralize gender inequality in everyday life?
How would you implement such policies and/or procedures? What oppositions might you face because of

your policies and/or procedures? And, how you would try to help minimalize opposition?

Sample Solution

The post Procedure or polices to neutralize gender inequality appeared first on coursesolver.

 
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The length of a side of the base of a regular square pyramid is 5 in., and the pyramid’s slant height is 18 in. Find the surface area of the pyarmid.

The length of a side of the base of a regular square pyramid is 5 in., and

the pyramid’s slant height is 18 in. Find the surface area of the pyarmid.

 
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Find the Euclidean distance between the points and the city distance between the points.

Find the Euclidean distance between the points and the city distance

between the points. Assume that both dE(P, Q)anddC(P, Q) are measured in blocks. Round approximate results to the nearest tenth of a block.
P(−7, 8), Q(9, −2)

dE(P, Q) =
dc(P, Q) =

 
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