# 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. 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