A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based

Question

A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli. Which of the following is the correct critical t-value to construct a 98% confidence interval for the true mean amount of cheese fillings?

2.797

2.492

3.745

3.467.

In a simple regression, the estimate of the dependent variable () equals the estimate of            
the intercept term (b0) when the independent variable (x) is zero.

True

False.

The critical value of t depends on the specified significance level for the test and the number of degrees of freedom.

True

False

When formulating a hypothesis test, the null and alternative hypotheses should be stated in terms of the:

sample statistic

sample data

sample standard deviation

population parameter.   

The error term is a critical part of the regression model. Which of the following assumption/s must be satisfied for the error term?

the mean of the error term is zero

the standard deviation of the error term equals the population standard deviation

the set of errors associated with different values of the dependent variable (y) are independent

all of the above.

If b1 = 2.45 and SEb1 = 1.20, what is the value of the t-statistic for the slope coefficient?

-2.042

-1.674

2.042

1.674.

2.797

2.492

3.745

3.467.

In a simple regression, the estimate of the dependent variable () equals the estimate of            
the intercept term (b0) when the independent variable (x) is zero.

True

False.

The critical value of t depends on the specified significance level for the test and the number of degrees of freedom.

True

False

When formulating a hypothesis test, the null and alternative hypotheses should be stated in terms of the:

sample statistic

sample data

sample standard deviation

population parameter.   

The error term is a critical part of the regression model. Which of the following assumption/s must be satisfied for the error term?

the mean of the error term is zero

the standard deviation of the error term equals the population standard deviation

the set of errors associated with different values of the dependent variable (y) are independent

all of the above.

If b1 = 2.45 and SEb1 = 1.20, what is the value of the t-statistic for the slope coefficient?

-2.042

-1.674

2.042

1.674.

Explanation / Answer

From T-Distribution table, when p = 0.99 and Degree of freedom = 24 we have Tcritical = 2.492

True

True

Population parameter

All of the above

T statistics = b1/SEb1 = 2.45/1.2 = 2.042

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