Question 1
How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 62 tissues during a cold. Suppose a random sample of 100 people yielded the following data on the number of tissues used during a cold:
= 50,
s = 16. Identify the null and alternative hypothesis for a test to determine if the mean number of tissues used during a cold is less than 62.
◦
H0:
μ = 62 vs.
Ha:
μ > 62
◦
H0:
μ = 62 vs.
Ha:
μ < 62
◦
H0:
μ > 62 vs.
Ha:
μ ≤ 62
◦
H0:
μ = 62 vs.
Ha:
μ ≠ 62
Question 2
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 34 minutes. The owner has randomly selected 19 customers and delivered pizzas to their homes. What hypotheses should the owner test to demonstrate that the pizza delivery will not be successful?
◦
H0:
μ = 34 vs.
Ha:
μ < 34
◦
H0:
μ = 34 vs.
Ha:
μ ≠ 34
◦
H0:
μ < 34 vs.
Ha:
μ = 34
◦
H0:
μ = 34 vs.
Ha:
μ > 34
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