Free Printable Statistics: Hypothesis Testing for Mean

1.

Two important sample statistics are…

a)

mean $\overline{x}$ and standard deviation $s$

b)

mean $\mu$ and standard deviation $\sigma$

c)

mean $\mu$ and varition $\sigma^2$

d)

mean $\overline{x}$ and sample size $n$

2.

The area of the shaded region in the graph is …

a)

The probability $P\left(Z<z_0\right)$

b)

The probability $P\left(Z>z_0\right)$

c)

The probability $P\left(-z_0<Z<z_0\right)$

3.

What are three components of hypothesis testing?

a)

Null hypothesis

b)

Confidence Interval

c)

Test statistic

d)

Significance Level

4.

Determine the correct order of hypothesis testing.

A. State Null Hypothesis

B. State Conclusion

C. Compare P-value and Significance Level

D. Compute Test Statistic

a)

D-A-B-C

b)

A-C-D-B

c)

A-D-C-B

d)

D-C-B-A

5.

What is null hypothesis?

a)

A claim about a sample statistic

b)

A statement that summarizes the data

c)

A non valid hypothesis

d)

A claim about a population parameter

6.

When $\sigma$ is not available, which test statistic do we use for hypothesis for mean?

a)

$z_0=\frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$

b)

$t_0=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}$

c)

$z_0=\frac{\mu-\overline{x}}{\frac{\sigma}{\sqrt{n}}}$

d)

$t_0=\frac{\mu-\overline{x}}{\frac{s}{\sqrt{n}}}$

7.

What is P-value?

a)

The probability value whether the null hypothesis is correct

b)

The probability value that determines the rejection of the null hypothesis

c)

The probability value that corresponds to the test statistic

d)

The probability of error in making conclusion

8.

What is significance level $\alpha$ ?

a)

A probability of error in making conclusion

b)

The level that determine the trust-worthiness of the conclusion

c)

A probability related to the test statistic

d)

A positive number that determine the significance of the conclusion

9.

If P-value (right-tail) < $\frac{\alpha}{2}$ , then we conclude …

a)

There is sufficient evidence to accept the null hypothesis

b)

There is insufficient evidence to accept the null hypothesis

c)

There is insufficient evidence to reject the null hypothesis

d)

There is sufficient evidence to reject the null hypothesis

10.

In the conclusion of a hypothesis testing, we say “There is sufficient evidence to …”. What does this evidence refer to?

a)

Population mean

b)

Sample mean

c)

Sample statistic

d)

Significance Level

Statistics: Hypothesis Testing for Mean

Total questions: 10

Worksheet time: 5mins

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