Free Printable Testing the Population Mean

1.

What is the appropriate null hypothesis?

a)

$μ=36.7$

b)

$μ>36.7$

c)

$μ<36.7$

d)

$μ\ne36.7$

2.

What is the appropriate alternative hypothesis?

a)

$μ=36.7$

b)

$μ>36.7$

c)

$μ<36.7$

d)

$μ\ne36.7$

3.

The statistical technique and level of significance that will be used are ____, respectively.

a)

$t-test,\ α=5\%$

b)

$t-test,\ α=2.5\%$

c)

$Z-test,\ α=5\%$

d)

$Z-test,\ α=2.5\%$

4.

The critical value will be ____.

a)

$1.761$

b)

$1.645$

c)

$-1.761$

d)

$-1.645$

5.

What will be the decision rule?

a)

Reject H₀if t test statistic is less than -1.761. Otherwise, we fail to reject H_0.

b)

Reject H₀ if t test statistic is greater than 1.761. Otherwise, we fail to reject H₀.

c)

Reject H₀ if Z test statistic is less than - 1.645. Otherwise, we fail to reject H₀ .

d)

Reject H₀ if Z test statistic is greater than 1.645. Otherwise, we fail to reject H₀ .

6.

The population standard deviation and sample size are ____, respectively.

a)

$σ=6,\ n=15$

b)

$s=6,\ n=15$

c)

$σ=15,\ n=6$

d)

$s=15,\ n=6$

7.

Using the answers from the previous question, what is the standard error?

a)

$SE=1.459$

b)

$SE=1.594$

c)

$SE=1.549$

d)

$SE=1.954$

8.

The sample mean and population mean are ____, respectively.

a)

b)

c)

d)

9.

Using the answers from 7 and 8, what is the computed test statistic?

a)

$Z=2.25$

b)

$Z=2.52$

c)

$t=2.518$

d)

$t=2.581$

10.

What will be the decision/conclusion?

a)

Since the test statistic Z = 2.52 is in the critical region (or greater than 1.645, we reject H₀.

b)

Since the test statistic Z = 2.25 is in the critical region (or greater than 1.645, we reject H_0.

c)

Since the test statistic t = 2.518 is in the critical region (or greater than 1.671, we reject H₀.

d)

Since the test statistic t = 2.581 is in the critical region (or greater than 1.671, we reject H₀ .

Testing the Population Mean

Total questions: 10

Worksheet time: 4mins

Similar Resources on Wayground