The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with = 10. A random sample of 92 Nero matchboxes shows the average number of matches per box to be 42.9. Using a 1% level of significance, can you say that the average number of matches per box is more than 40?

(a)What are we testing in this problem?

1- a single proportion

2- a difference of proportions

3- a single mean

4- a difference of means

5- a paired difference

B) What is the level of significance?State the null and alternate hypotheses. (Enter != for as needed.)

H₀:

H₁:

What sampling distribution will you use? What assumptions are you making?

1- We'll use the standard normal. Since the sample size is not sufficiently large we need to assume the data are a random sample from the relevant population and that the population distribution is at least mound shaped.

2- We'll use the Student's t. Since the sample size is not sufficiently large we need to assume the data are a random sample from the relevant population and that the population distribution is at least mound shaped. 3- We'll use the standard normal. Since the sample size is sufficiently large we only need to assume the data are a random sample from the relevant population. 4- We'll use the Student's t. Since the sample size is sufficiently large we only need to assume the data are a random sample from the relevant population.

c) What is the value of the sample test statistic? (Round your answer to two decimal places.)

D) )Find (or estimate) the P-value. (Round your answer to four decimal places.)P-value =