Exam 18: Review of Statistical Inference

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

The service manager of a car dealer wants to determine if owners of new cars (two years old or less)tune up their cars more frequently than owners of older cars (more than two years old). From his records he takes a random sample of ten new cars and ten older cars and determines the number of times the cars were tuned up in the last 12 months. The data follow. Do these data allow the service station owner to infer at the 10% significance level that new car owners tune up their cars more frequently than older car owners?

Random samples from two normal populations produced the following statistics: , , , and . Is there enough evidence at the 5% significance level to infer that the variance of Population 1 is larger than the variance of Population 2?

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.

A multinomial experiment with two categories is identical to a binomial experiment.

The following 10 observations of variables x and y were collected. Find the least squares regression line, and the estimated value of y when x = 3.

A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25. The upper limit of a 95% confidence interval for the population mean would equal:

The analysis of variance is a procedure that allows statisticians to compare two or more population:

The width of the confidence interval estimate for the predicted value of y depends on

Which of the following is a required condition for using the normal approximation to the binomial in testing the difference between two population proportions?

Which of the following statements regarding the chi-squared distribution is true?

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

SSE measures the variation ____________________ treatments.

In a single-factor analysis of variance, MST is the mean square for treatments and MSE is the mean square for error. The null hypothesis of equal population means is rejected if:

Tukey's multiple comparison method is more powerful than Fisher's LSD Method at finding differences in pairwise population means.

The coefficient of determination R ² measures the proportion of variation in y that is explained by the explanatory variables included in the model.

A condition of using the chi-squared test statistic for testing the variance is that the population random variable have a normal distribution.

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:

A(n)____________________ experiment is like a binomial experiment except it contains two or more categories.

In a completely randomized design, 15 experimental units were assigned to each of four treatments. Fill in the blanks (identified by asterisks)in the partial ANOVA table shown below.