10. TABLE 12-3 A computer used by a 24-hour banking service is supposed torandom
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10.TABLE 12-3
A computer used by a 24-hour banking service is supposed torandomly assign each transaction to one of 5 memory locations. Acheck at the end of a day's transactions gave the counts shown inthe table for each of the 5 memory locations, along with the numberof reported errors.
The bank manager wanted to test whether the proportion of errors intransactions assigned to each of the 5 memory locations differ.
Referring to Table 12-3, the critical value of the test statisticat 1% level of significance is:
A)13.2767
B)7.7794
C)23.2093
D)20.0902
11.When testing for independence in acontingency table with 3 rows and 4 columns, there are ________degrees of freedom.
A)12
B)5
C)7
D)6
12.TABLE 13-1
A large national bank charges local companies for using theirservices. A bank official reported the results of a regressionanalysis designed to predict the bank's charges(Y)—measured in dollars per month—for servicesrendered to local companies. One independent variable used topredict the service charge to a company is the company's salesrevenue (X)—measured in millions of dollars. Datafor 21 companies who use the bank's services were used to fit themodel:
E(Y) = 0 +1X
The results of the simple linear regression are provided below.
= -2,700 + 20X, SYX = 65, two-tailed pvalue = 0.034 (for testing 1)
Referring to Table 13-1, interpret the estimate of , thestandard deviation of the random error term (standard error of theestimate) in the model.
A)For every $1 million increase in sales revenue, we expect a servicecharge to increase $65.
B)About 95% of the observed service charges equal their correspondingpredicted values.
C)About 95% of the observed service charges fall within $130 of theleast squares line.
D)About 95% of the observed service charges fall within $65 of theleast squares line.
13. In a simple linear regression problem, r andb1
A)must have opposite signs.
B)may have opposite signs.
C)must have the same sign.
D)are equal.
14. The sample correlation coefficient between X andY is 0.375. It has been found that the p-value is0.256 when testing H0 : = 0against the two-sided alternative H1 : 0. To test H0 : = 0 against the one-sided alternativeH1 : < 0 at a significancelevel of 0.2, the p-value is:
A)0.256/2
B)1 - 0.256/2
C)(0.256)2
D)1 - 0.256
15. Assuming a linear relationship between X andY, if the coefficient of correlation (r) equals -0.30,
A)the slope (b1) is negative.
B)variable X is larger than variable Y.
C)there is no correlation.
D)the variance of X is negative.
10.TABLE 12-3
A computer used by a 24-hour banking service is supposed torandomly assign each transaction to one of 5 memory locations. Acheck at the end of a day's transactions gave the counts shown inthe table for each of the 5 memory locations, along with the numberof reported errors.
The bank manager wanted to test whether the proportion of errors intransactions assigned to each of the 5 memory locations differ.
Referring to Table 12-3, the critical value of the test statisticat 1% level of significance is:
A)13.2767
B)7.7794
C)23.2093
D)20.0902
11.When testing for independence in acontingency table with 3 rows and 4 columns, there are ________degrees of freedom.
A)12
B)5
C)7
D)6
12.TABLE 13-1
A large national bank charges local companies for using theirservices. A bank official reported the results of a regressionanalysis designed to predict the bank's charges(Y)—measured in dollars per month—for servicesrendered to local companies. One independent variable used topredict the service charge to a company is the company's salesrevenue (X)—measured in millions of dollars. Datafor 21 companies who use the bank's services were used to fit themodel:
E(Y) = 0 +1X
The results of the simple linear regression are provided below.
= -2,700 + 20X, SYX = 65, two-tailed pvalue = 0.034 (for testing 1)
Referring to Table 13-1, interpret the estimate of , thestandard deviation of the random error term (standard error of theestimate) in the model.
A)For every $1 million increase in sales revenue, we expect a servicecharge to increase $65.
B)About 95% of the observed service charges equal their correspondingpredicted values.
C)About 95% of the observed service charges fall within $130 of theleast squares line.
D)About 95% of the observed service charges fall within $65 of theleast squares line.
Explanation / Answer
10.A) 13.2767 11.D) 6 12.D) About 95% of the observed service charges fall within $65 ofthe least squares line. 13.C) must have the same sign. 14.C) (0.256)2 15.A) the slope (b1) is negative.
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