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# Null and Alternative Hypothesis

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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. Â¹, =
b. =, Â³
c. Â£, =
d. =, Â¹

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 Â¹ m2
a. 1
b. 2
c. 3
d. 1, 2, and 3

https://brainmass.com/statistics/hypothesis-testing/null-and-alternative-hypothesis-8111

#### Solution Preview

Solution.(1) Since Two-tailed Test is usually in the form of
<br><br>
<br><br>H0: Âµ = a
<br><br>H1: Âµ Â¹ a
<br><br>
<br><br> Â¹ 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. Â¹, =
b. =, Â³
c. Â£, =
d. =, Â¹

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 Â¹ m2
a. 1
b. 2
c. 3
d. 1, 2, and 3

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