Using the following data, test for the independence of the variables. Note: Assume a significance level of 0.05 wherever necessary.) \[\begin{array} { | c | c | c |} \hline \text { Respandent } & \text { Gender } & \text { Brealfast Preference } \\ \hline 1 & \text { Fernale } & \text { Fruits } \\ \hline 2 & \text { Male } & \text { Cereal } \\ \hline 3 & \text { Male } & \text { Milk } \\ \hline 4 & \text { Fernale } & \text { Fruits } \\ \hline 5 & \text { Fernale } & \text { Milk } \\ \hline 6 & \text { Male } & \text { Cereal } \\ \hline 7 & \text { Male } & \text { Milk } \\ \hline 8 & \text { Male } & \text { Milk } \\ \hline 9 & \text { Fernale } & \text { Fruits } \\ \hline \end{array}\] \[\begin{array} { | c | c | c | } \hline 10 & \text { Male } & \text { Fruits } \\ \hline 11 & \text { Male } & \text { Cereal } \\ \hline 12 & \text { Fernale } & \text { Cereal } \\ \hline 13 & \text { Fernale } & \text { Milk } \\ \hline 14 & \text { Male } & \text { Fruits } \\ \hline 15 & \text { Female } & \text { Fruits } \\ \hline \end{array}\]

The chi-square test for independence tes

Use the data given below to answer the following questions). The following extract from a manufacturer's database shows a sample of 10 suppliers, their transportation charges, and the estimated and actual total costs of supplying materials. Note: Assume a significance level of 0.05 wherever necessary.) \[\begin{array} { | l | c | c | c | } \hline \text { Supplier } & \begin{array} { c } \text { Transportation } \\ \text { Charges } \end{array} & \begin{array} { c } \text { Estirnated Total } \\ \text { Cost } \end{array} & \text { Actual Total Cost } \\ \hline \text { Peter } & 340 & 4,500 & 4,680 \\ \hline \text { Jdhry } & 560 & 4,500 & 4,790 \\ \hline \text { Martin } & 480 & 4,500 & 5,110 \\ \hline \text { Philip } & 290 & 4,500 & 4,780 \\ \hline \text { Mark } & 370 & 4,500 & 4,810 \\ \hline \text { Thomas } & 520 & 4,500 & 4,770 \\ \hline \text { Jaison } & 350 & 4,500 & 5,250 \\ \hline \text { David } & 430 & 4,500 & 4,930 \\ \hline \text { Carter } & 510 & 4,500 & 5,010 \\ \hline \text { Leonard } & 270 & 4,500 & 4,810 \\ \hline \end{array}\] -Conduct the appropriate type of one-sample test-statistic to determine whether the average transportation charge is less than $430.

The hypotheses take the form: H0: popula

Exam 7: Statistical Inference

Use the data given below to answer the following questions). In a lower one-tailed hypothesis test, chosen level of significance = 0.10, sample size = 55, and t- test statistic = -1.76. -What is the observed level of significance?

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(Multiple Choice)

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Question 1

Correct Answer:

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D

Identify the power of the test from the following probabilities.

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(Multiple Choice)

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Question 2

Correct Answer:

Verified

C

Use the data given below to answer the following questions). The following extract from a manufacturer's database shows a sample of 10 suppliers, their transportation charges, and the estimated and actual total costs of supplying materials. Note: Assume a significance level of 0.05 wherever necessary.) Supplier Transportation Charges Estirnated Total Cost Actual Total Cost Peter 340 4,500 4,680 Jdhry 560 4,500 4,790 Martin 480 4,500 5,110 Philip 290 4,500 4,780 Mark 370 4,500 4,810 Thomas 520 4,500 4,770 Jaison 350 4,500 5,250 David 430 4,500 4,930 Carter 510 4,500 5,010 Leonard 270 4,500 4,810 -Conduct the appropriate type of one-sample test-statistic to determine whether the average transportation charge is less than $430. Apply a decision rule using the observed level of significance and draw a conclusion.

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Question 3

Correct Answer:

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If the True mean is 430, then the p-value is the probability of obtaining a test statistic of
- 0.56 or less.
Using the Excel function TDIST-0.56,9,True), p-value = 0.2946.
Decision rule: Whenever p-value < chosen level of significance α, reject the null hypothesis and otherwise fail to reject it.
Because p-value is not less than α = 0.05, the null hypothesis cannot be rejected. There is about a 30% chance that the test statistic would be -0.56 or smaller if the null hypothesis was True. This is a fairly high probability, so it would be difficult to conclude that the True mean is less than
430. The fact that the sample mean is less than the hypothesized value can be attributed to sampling error alone.

Which of the following tests is used to determine if two categorical variables are independent?

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Question 4

For a two-sample test, explain the procedure used when it is difficult to justify the assumption that the variances of each population are equal.

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Question 5

Which of the following is a Type I error?

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Question 6

Why is testing for independence important for businesses?

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Question 7

Using the following data, test for the independence of the variables. Note: Assume a significance level of 0.05 wherever necessary.) Respandent Gender Brealfast Preference 1 Fernale Fruits 2 Male Cereal 3 Male Milk 4 Fernale Fruits 5 Fernale Milk 6 Male Cereal 7 Male Milk 8 Male Milk 9 Fernale Fruits 10 Male Fruits 11 Male Cereal 12 Fernale Cereal 13 Fernale Milk 14 Male Fruits 15 Female Fruits

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Question 8

Type II error occurs when the test:

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Question 9

For a two-sample hypothesis which tests for differences in population parameters 1) and 2), a two-tailed test seeks evidence that:

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Question 10

The confidence coefficient is denoted by:

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Question 11

Which of the following probabilities gives the confidence coefficient?

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Question 12

Use the data given below to answer the following questions). The following extract from a manufacturer's database shows a sample of 10 suppliers, their transportation charges, and the estimated and actual total costs of supplying materials. Note: Assume a significance level of 0.05 wherever necessary.) Supplier Transportation Charges Estirnated Total Cost Actual Total Cost Peter 340 4,500 4,680 Jdhry 560 4,500 4,790 Martin 480 4,500 5,110 Philip 290 4,500 4,780 Mark 370 4,500 4,810 Thomas 520 4,500 4,770 Jaison 350 4,500 5,250 David 430 4,500 4,930 Carter 510 4,500 5,010 Leonard 270 4,500 4,810 -Conduct the appropriate type of one-sample test-statistic to determine whether the average transportation charge is less than $430.

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Question 13

In order to reject the null hypothesis, the F-test statistic must be greater than the .

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Question 14

Which of the following 2016 Excel functions computes the p-value for the chi-square test?

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Question 15

Which of the following is true while applying the Excel ANOVA tool?

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Question 16

For a two-sample hypothesis test for differences in population parameters 1) and 2), which of the following is the correct form of an upper-tailed test?

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Question 17

A manufacturer wishes to determine if the average profit from the sale of his product exceeds $6,710. Which of the following is the appropriate hypothesis test?

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Question 18

In statistical terminology, the variable of interest is called a .

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Question 19

Which of the following is true about the value of the power of the test?

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Question 20

Use the data given below to answer the following questions). In a lower one-tailed hypothesis test, chosen level of significance = 0.10, sample size = 55, and t- test statistic = -1.76. -What is the observed level of significance?

Identify the power of the test from the following probabilities.

Which of the following tests is used to determine if two categorical variables are independent?

For a two-sample test, explain the procedure used when it is difficult to justify the assumption that the variances of each population are equal.

Which of the following is a Type I error?

Why is testing for independence important for businesses?

Type II error occurs when the test:

For a two-sample hypothesis which tests for differences in population parameters 1) and 2), a two-tailed test seeks evidence that:

The confidence coefficient is denoted by:

Which of the following probabilities gives the confidence coefficient?

In order to reject the null hypothesis, the F-test statistic must be greater than the .

Which of the following 2016 Excel functions computes the p-value for the chi-square test?

Which of the following is true while applying the Excel ANOVA tool?

For a two-sample hypothesis test for differences in population parameters 1) and 2), which of the following is the correct form of an upper-tailed test?

A manufacturer wishes to determine if the average profit from the sale of his product exceeds $6,710. Which of the following is the appropriate hypothesis test?

In statistical terminology, the variable of interest is called a .

Which of the following is true about the value of the power of the test?

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