Question

The heights of 12 randomly selected women are given below (in inches). The sign test at the 0.005 significance level will be used to test the claim that the population median is greater than 64 inches.

64	66.6
64	67.5
60.6	66.1
65.1	65.1
64	61.7
65.8	61.1

(a) What is the value of the test statistic used in this sign test?



(b) What is the critical value in this sign test?



(c) What is the correct conclusion of this sign test?

• There is sufficient evidence to warrant rejection of the claim that the population median is greater than 64 inches.
• There is not sufficient evidence to warrant rejection of the claim that the population median is greater than 64 inches.
• There is sufficient evidence to support the claim that the population median is greater than 64 inches.
• There is not sufficient evidence to support the claim that the population median is greater than 64 inches.

Answer 1

Result:

The heights of 12 randomly selected women are given below (in inches). The sign test at the 0.005 significance level will be used to test the claim that the population median is greater than 64 inches.

(a) What is the value of the test statistic used in this sign test?

test statistic z = 0.67

(b) What is the critical value in this sign test?

critical value z =2.576 ( upper tail value)

(c) What is the correct conclusion of this sign test?.

There is not sufficient evidence to support the claim that the population median is greater than 64 inches.

Excel Addon Megastat used.

Sign Test
	64	hypothesized value
	64.55	median
	3	below
	3	equal
	6	above
	9	n
		binomial
	.2539	p-value (one-tailed, upper)
		normal approximation
	0.67	z
	.2525	p-value (one-tailed, upper)