1.A leading digital music player is advertised to have a median lifetime of 10,000 hours of continuous play. The developer of a new digital music player wants to show that their product lasts longer than the leading player (i.e. that their digital music players median lifetime exceeds 10,000 hours). The developer is running out of time, and decides to collect a sample of only 8 new digital music players. He sees that the distribution of their lifetimes is highly left-skewed.

Select the most appropriate test for this situation.

Group of answer choices

A) A z-test.

B) A t-test

C) An ANOVA F-test

D) A sign test for the population median

2.

Select the most appropriate set of null and alternative hypotheses.

Group of answer choices

A) H₀: M_d = 0.50, H_a: M_d 0.50

B) H₀: M_d <= 6,000, H_a: M_d > 6,000

C) H₀: M_d 10,000, H_a: M_d < 10,000

D) H₀: M_d 10,000, H_a: M_d > 10,000

3.

Suppose the developer notes that 7 of the 8 new digital music players in the sample have a lifetime greater than 10,000 hours. Calculate the p-value associated with this test. Recall that in this case, the p-value will be the probability that the test statistic takes a value as large, or larger, than the one we have observed. Round your answer to 4 decimal places.

4.

Select the most appropriate conclusion.

Group of answer choices

A) Since the p-value is greater than the significance level (alpha), we reject the null hypothesis.

B) Since the p-value is less than the significance level (alpha), we reject the null hypothesis.

C) Since the p-value is greater than the significance level (alpha), we do not reject the null hypothesis.

D) Since the p-value is less than the significance level (alpha), we do not reject the null hypothesis.

5.

Select the most appropriate interpretation.

Group of answer choices

A) The population median lifetime of the new digital music player does not exceed 10,000 hours.

B) The population median lifetime of the new digital music player exceeds 10,000 hours.

C) The population median lifetime of the new digital music player is equal to 10,000 hours.

D) Since we rejected the null hypothesis, we cannot make a conclusion regarding the median lifetime of the new digital music player.