Exam 18: Review of Statistical Inference

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: . This implies that if the height is increased by 1 inch, the weight, on average, is expected to:

(Multiple Choice)

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Question 141

Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the population variances are unknown but equal. In order to test the difference between the population means, , the sampling distribution of the sample mean difference, , is:

(Multiple Choice)

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Question 142

The F-distribution is symmetric.

(True/False)

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Question 143

Five types of apples are displayed side by side in several supermarkets in the city of Miami. It was noted that in one day, 180 customers purchased apples. Of these, 30 picked type A, 40 picked type B, 25 picked type C, 35 picked type D, and 50 picked type E. In Miami, can you conclude at the 5% significance level that there is a preferred type of apples?

(Essay)

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Question 144

When testing vs. , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

(Multiple Choice)

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Question 145

Multicollinearity affects the t-tests of the individual coefficients as well as the F-test in the analysis of variance for regression because the F-test combines the t-tests into a single test.

(True/False)

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Question 146

SSE stands for of squares for .

(Short Answer)

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Question 147

The coefficient of ____________________ measures the amount of variation in the dependent variable that is explained by the variation in the independent variable.

(Short Answer)

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Question 148

Another name for the residual term in a regression equation is random error.

(True/False)

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Question 149

In testing the significance of a multiple regression model with three independent variables, the null hypothesis is .

(True/False)

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Question 150

The degrees of freedom for the test statistic in a test of a contingency table is (r - 1)(c - 1) where r is the number of rows in the table, and c is the number of columns.

(True/False)

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Question 151

If we square the t-statistic for two means, the result is the ____________________-statistic.

(True/False)

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Question 152

The chi-squared goodness-of-fit test compares the frequencies in the table to the frequencies based on the null hypothesis.

(Short Answer)

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Question 153

Consider a multinomial experiment involving 100 trials and 3 categories (cells). The observed frequencies resulting from the experiment are shown in the accompanying table. Use the 5% significance level to test the hypotheses H₀: p₁ = 0.45, p₂ = 0.30, p₃ = 0.25 vs. H₁: At least two proportions differ from their specified values.

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Question 154

In testing for the differences between the means of two independent populations where the variances in each population are unknown but assumed equal, the degrees of freedom is:

(Multiple Choice)

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Question 155

The test statistic used to test hypotheses about the population variance is given by $\chi$ ² = (n -1)s² / $\sigma$ ², which is chi-squared distributed with n - 1 degrees of freedom when the population is normally distributed with variance equal to $\sigma$ ².

(True/False)

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Question 156

In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of:

(Multiple Choice)

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Question 157

In a matched pairs experiment the parameter of interest is the of the population of .

(Short Answer)

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Question 158

The alternative hypothesis of ANOVA is that ____________________ population means are different.

(Short Answer)

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Question 159

Multiple comparison methods are used to determine whether or not any differences occur amongst a group of population means.

(True/False)

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Question 160

Showing 141 - 160 of 182

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: . This implies that if the height is increased by 1 inch, the weight, on average, is expected to:

Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the population variances are unknown but equal. In order to test the difference between the population means, , the sampling distribution of the sample mean difference, , is:

The F-distribution is symmetric.

When testing vs. , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

Multicollinearity affects the t-tests of the individual coefficients as well as the F-test in the analysis of variance for regression because the F-test combines the t-tests into a single test.

SSE stands for of squares for .

The coefficient of ____________________ measures the amount of variation in the dependent variable that is explained by the variation in the independent variable.

Another name for the residual term in a regression equation is random error.

In testing the significance of a multiple regression model with three independent variables, the null hypothesis is .

The degrees of freedom for the test statistic in a test of a contingency table is (r - 1)(c - 1) where r is the number of rows in the table, and c is the number of columns.

If we square the t-statistic for two means, the result is the ____________________-statistic.

The chi-squared goodness-of-fit test compares the frequencies in the table to the frequencies based on the null hypothesis.

In testing for the differences between the means of two independent populations where the variances in each population are unknown but assumed equal, the degrees of freedom is:

The test statistic used to test hypotheses about the population variance is given by $\chi$ ² = (n -1)s² / $\sigma$ ², which is chi-squared distributed with n - 1 degrees of freedom when the population is normally distributed with variance equal to $\sigma$ ².

In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of:

In a matched pairs experiment the parameter of interest is the of the population of .

The alternative hypothesis of ANOVA is that ____________________ population means are different.

Multiple comparison methods are used to determine whether or not any differences occur amongst a group of population means.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 18: Review of Statistical Inference

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: . This implies that if the height is increased by 1 inch, the weight, on average, is expected to:

Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the population variances are unknown but equal. In order to test the difference between the population means, , the sampling distribution of the sample mean difference, , is:

The F-distribution is symmetric.

When testing vs. , the observed value of the z-score was found to be -2.15. Then, the p-value for this test would be

Multicollinearity affects the t-tests of the individual coefficients as well as the F-test in the analysis of variance for regression because the F-test combines the t-tests into a single test.

SSE stands for ____________________ of squares for ____________________.

The coefficient of ____________________ measures the amount of variation in the dependent variable that is explained by the variation in the independent variable.

Another name for the residual term in a regression equation is random error.

In testing the significance of a multiple regression model with three independent variables, the null hypothesis is .

The degrees of freedom for the test statistic in a test of a contingency table is (r - 1)(c - 1) where r is the number of rows in the table, and c is the number of columns.

If we square the t-statistic for two means, the result is the ____________________-statistic.

The chi-squared goodness-of-fit test compares the ____________________ frequencies in the table to the ____________________ frequencies based on the null hypothesis.

In testing for the differences between the means of two independent populations where the variances in each population are unknown but assumed equal, the degrees of freedom is:

The test statistic used to test hypotheses about the population variance is given by χ\chiχ 2 = (n -1)s2 / σ\sigmaσ 2, which is chi-squared distributed with n - 1 degrees of freedom when the population is normally distributed with variance equal to σ\sigmaσ 2.

In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of:

In a matched pairs experiment the parameter of interest is the ____________________ of the population of ____________________.

The alternative hypothesis of ANOVA is that ____________________ population means are different.

Multiple comparison methods are used to determine whether or not any differences occur amongst a group of population means.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

SSE stands for of squares for .

The chi-squared goodness-of-fit test compares the frequencies in the table to the frequencies based on the null hypothesis.

The test statistic used to test hypotheses about the population variance is given by $\chi$ ² = (n -1)s² / $\sigma$ ², which is chi-squared distributed with n - 1 degrees of freedom when the population is normally distributed with variance equal to $\sigma$ ².

In a matched pairs experiment the parameter of interest is the of the population of .