Wristwatch Accuracy Students of the author collected a simple random sample of times (see) of wristwatch errors, and a few of those times are listed below. Negative values correspond to watches that are running ahead of the actual time. Assuming that we want to use a 0.05 significance level to test the claim that the sample is from a population with a mean equal to 0 sec. identify the null hypothesis and the alternative hypothesis. 140 −85 325 20 305 205 20 −93

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Answer 1

Textbook Question

Chapter 8, Problem 1CQQ

Wristwatch Accuracy Students of the author collected a simple random sample of times (see) of wristwatch errors, and a few of those times are listed below. Negative values correspond to watches that are running ahead of the actual time. Assuming that we want to use a 0.05 significance level to test the claim that the sample is from a population with a mean equal to 0 sec. identify the null hypothesis and the alternative hypothesis.

140 −85 325 20 305 205 20 −93

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .

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Answer 2

Textbook Question

Chapter 8, Problem 1CQQ

Wristwatch Accuracy Students of the author collected a simple random sample of times (see) of wristwatch errors, and a few of those times are listed below. Negative values correspond to watches that are running ahead of the actual time. Assuming that we want to use a 0.05 significance level to test the claim that the sample is from a population with a mean equal to 0 sec. identify the null hypothesis and the alternative hypothesis.

140 −85 325 20 305 205 20 −93

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .

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Answer 3

Textbook Question

Chapter 8, Problem 1CQQ

Wristwatch Accuracy Students of the author collected a simple random sample of times (see) of wristwatch errors, and a few of those times are listed below. Negative values correspond to watches that are running ahead of the actual time. Assuming that we want to use a 0.05 significance level to test the claim that the sample is from a population with a mean equal to 0 sec. identify the null hypothesis and the alternative hypothesis.

140 −85 325 20 305 205 20 −93

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .

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Answer 4

Textbook Question

Chapter 8, Problem 1CQQ

Wristwatch Accuracy Students of the author collected a simple random sample of times (see) of wristwatch errors, and a few of those times are listed below. Negative values correspond to watches that are running ahead of the actual time. Assuming that we want to use a 0.05 significance level to test the claim that the sample is from a population with a mean equal to 0 sec. identify the null hypothesis and the alternative hypothesis.

140 −85 325 20 305 205 20 −93

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .

Answer 8

Expert Solution & Answer

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To identify: The null hypothesis and alternative hypothesis.

Answer 12

Answer to Problem 1CQQ

The null hypothesis is μ=0sec .

The alternative hypothesis is μ≠0sec .

Answer 13

Explanation of Solution

Given info:

The test of the claim is that the population with mean time of the wristwatches equal to 0 sec. and significance level is 0.05.

Calculation:

Here, the test is to claim the population with mean time of the wristwatches is equal to 0 sec. represents the null hypothesis. Thus, the alternative hypothesis is the population with mean time of the wristwatches is not equal to 0 sec.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=0sec

That is, there is no evidence to reject the claim that the population with mean equal to 0 sec.

Alternative hypothesis:

H1:μ≠0sec

That is, there is evidence to reject the claim that the population with mean not equal to 0 sec.

Thus, the null hypothesis is μ=0sec and the alternative hypothesis is μ≠0sec .