Quiz_Statistics (G06)

An assumption made about the value of a population parameter is called

• hypothesis

• conclusion

• confidence

• significance

The level of significance is the

• maximum allowable probability of type II error

• maximum allowable probability of type I error

• same as the confidence coefficient

• same as the p-value

The probability of making a Type I error is denoted by

• α

• β

• 1-α

• 1-β

When the following hypotheses are being tested at a level of significance of α

H₀: m 500

H_a: m < 500

The null hypothesis will be rejected if the p-value is

• ≤ α

• > α

• > α/2

• ≤ 1 – α/2

We are interested in testing whether the variance of a population is significantly less than 1.44. The null hypothesis for this test is

• Ho: σ² < 1.44

• H_o: s² ≥ 1.44

• Ho: σ < 1.20

• H_o: σ² ≥ 1.44

Which of the following shows a right-tailed test?

• H₁: µ < 15

• H₁: µ > 15

• H₀: µ < 15

• H₀: µ > 15

The sampling distribution of the ratio of two independent sample variances taken from normal populations with equal variances is

• an F distribution

• a chi-square distribution

• a t distribution

• a normal distribution

We are interested in testing to see if the variance of a population is less than 7. The correct null hypothesis is

• σ < 7

• σ² ≥ 7

• S < 49

• S > 49

To avoid the problem of not having access to tables of the F distribution with values given for the lower tail when a two-tailed test is required, let the smaller sample variance be

• the denominator of the test statistic

• the numerator of the test statistic

• at least one

• None of these alternatives is correct.

If we want to test whether the variances of population 1 and population 2 are the same, the null and alternative hypothesis to be stated respectively are

• 
• 
• 
•