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Null and Alternative Hypothesis

Given a two-tail test for the population mean, the null hypothesis contains a(n) __________ sign, and the alternative hypothesis contains a(n) ___________ sign.
a. ¹, =
b. =, ³
c. £, =
d. =, ¹

Use the following information for questions 3 - 5.
The Waterhole bar and grill decided to run a special offer of a free fried zucchini appetizer with the purchase of a pitcher of beer and a sandwich for Monday nights only during the height of the baseball season. A loyal customer who loves baseball and grows vegetables agreed to supply the squash free. Management's objective was to exceed last year's average Monday night sales volume of $1,900. The data for the 12-week period during the fried zucchini special is as follows:
$2,200 $2,400 $2,100 $2,250$1,800 $1,950 $2,500 $2,600$2,650 $1,600 $2,700 $1,850

Which of the following is/are not an appropriate null hypothesis for a test of the difference between two population means, irrespective of whether the test is one-sided or two-sided?
1. H0: m1 < m
2. H0: m1 > m2
3. H0: m1 ¹ m2
a. 1
b. 2
c. 3
d. 1, 2, and 3

Solution Preview

Solution.(1) Since Two-tailed Test is usually in the form of
<br><br>
<br><br>H0: µ = a
<br><br>H1: µ ¹ a
<br><br>
<br><br> ¹ Means ...

Solution Summary

Given a two-tail test for the population mean, the null hypothesis contains a(n) __________ sign, and the alternative hypothesis contains a(n) ___________ sign.
a. ¹, =
b. =, ³
c. £, =
d. =, ¹

Use the following information for questions 3 - 5.
The Waterhole bar and grill decided to run a special offer of a free fried zucchini appetizer with the purchase of a pitcher of beer and a sandwich for Monday nights only during the height of the baseball season. A loyal customer who loves baseball and grows vegetables agreed to supply the squash free. Management's objective was to exceed last year's average Monday night sales volume of $1,900. The data for the 12-week period during the fried zucchini special is as follows:
$2,200 $2,400 $2,100 $2,250$1,800 $1,950 $2,500 $2,600$2,650 $1,600 $2,700 $1,850

Which of the following is/are not an appropriate null hypothesis for a test of the difference between two population means, irrespective of whether the test is one-sided or two-sided?
1. H0: m1 < m
2. H0: m1 > m2
3. H0: m1 ¹ m2
a. 1
b. 2
c. 3
d. 1, 2, and 3

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