Hypothesis Testing for Population Mean

Hypothesis Testing for Population Mean

Concepts

Open Ended

Determine the parameter of the given scenario.

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs.

Open Ended

Determine the parameter of the given scenario.

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute.

Open Ended

Determine the parameter of the given scenario.

The average miles on a tank of gas for the Ford

Explorer is 300 miles with a standard deviation of 22

miles. A consumer group feels the average is actually

lower. They survey 40 vehicles and find the average

miles per tank is 290 miles.

Multiple Choice

IIt is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable.

• conclusion

• hypothesis

• proportion

• hypothesis testing

Multiple Choice

It is a statistical method applied in making decisions using experimental data. Hypothesis testing is basically testing an assumption that we make about a population.

• conclusion

• hypothesis

• proportion

• hypothesis testing

Hypothesis

• An objective method of making decisions or inferences from sample data (evidence)

•  It is a tentative statement or explanation of a phenomenon. It is a conjecture or assertion about parameter.

Hypothesis Testing

• It is a decision-making process for evaluating claims about a population based on the characteristics of a sample purportedly coming from that population.

• The decision is whether the characteristic is acceptable or not.

Multiple Choice

Which test hypothesis states that there is no difference between two parameters?

• Alternative Hypothesis

• Point hypothesis

• Null Hypothesis

• Significance Hypothesis

Multiple Choice

It occurs if you reject the null hypothesis when it is true.

• Type I error

• Type II error

Multiple Choice

It occurs if you accept the null hypothesis when it is false.

• Type I error

• Type II error

Multiple Choice

In the rejection (critical) region, the null hypothesis should be rejected.

• True

• False

Open Ended

It separates the rejection region from the acceptance region.

Multiple Choice

 $H_0:\ \mu=k\ \ \ \ H_a:\ \ \mu\ne k$ 

 What is the appropriate hypothesis test used for this?

• right-tailed test

• left-tailed test

• two-tailed test

Multiple Choice

 $H_0:\ \mu=k\ \ \ \ H_a:\ \ \mu<k$ 

 What is the appropriate hypothesis test used for this?

• right-tailed test

• left-tailed test

Multiple Choice

When do you use a t-value instead of a z-value?

• n < 30

• n ≥ 30

• When the teacher says so.

• When someone wink at me.

Multiple Choice

A test is made of H₀ : µ = 17 versus H_a : µ < 17 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that H₀ is rejected.

If the true value of µ is 17, is the conclusion a Type I Error, Type II error, or a correct decision?

• Type I Error

• Type II Error

• Right Decision

Multiple Choice

In a hypothesis test, the alternative hypothesis is always a statement of equality.

• True

• False

Multiple Choice

Which of the following shows a right-tailed test?

• H_o : μ < 10

• H_o : μ > 10

• H_a : μ < 10

• H_a : μ > 10

Multiple Choice

A test is made of H₀ : µ = 50 versus H₁ : µ =/= 50 is performed using α = 0.01 significance level. The value of the test statistic is z = -2.68 and it is concluded that we fail to reject H₀ .

If the true value of µ is 65, is the conclusion a Type I Error, Type II error, or a correct decision?

• Type I Error

• Type II Error

• Right Decision

Multiple Choice

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternative hypothesis?

• H_o : μ ≠ 18.4

  Ha : μ = 18.4

• H_o : μ = 18.4

  Ha : μ ≠ 18.4

• H_o : μ = 18.4

  Ha : μ > 18.4

• H_o : μ = 18.4

  Ha : μ < 18.4

Multiple Choice

Which of the following represents the appropriate null & alternative hypotheses?

The mean height of women is greater than 64"

• H_o : μ ≤ 18.4

  H_a : μ > 18.4

• H_o : μ ≥ 18.4

  H_a : μ ≠ 18.4

• H_o : ρ > 18.4

  H_a : ρ ≠ 18.4

• H_o : ρ = 18.4

  Ha : ρ > 18.4

Multiple Choice

If a sample mean is in the critical region with alpha level 0.01, it would still(always) be in the critical region if alpha were changed to 0.05?

• True

• False

Multiple Choice

If a sample mean is in the critical region with alpha level 0.05, it would still (always) be in the critical region if alpha were changed to 0.01?

• True

• False