Hypothesis Test with a Known Standard Deviation After many years of commuting, Suzy knows that the can bike to her office in 17 minutes with a standard deviation of 1 minute. While shopping, she finds an all-natural energy drink and decides to use it to shorten her commute time. Suzy records 12 morning commutes with an average time of 16.5 minutes in which she drank the energy drink before biking. Is there sufficient evidence to show that the energy drink helped? Conduct a hypothesis test at the 5% significance level. H0:μ≥17 Ha:μ<17 a. Conduct a hypothesis test and report the p-value. p= (Include four decimal places) b. At the 5% significance level, we conclude that Suzy bikes faster after drinking the energy drink. True False
Hypothesis Test with a Known Standard Deviation
After many years of commuting, Suzy knows that the can bike to her office in 17 minutes with a standard deviation of 1 minute. While shopping, she finds an all-natural energy drink and decides to use it to shorten her commute time. Suzy records 12 morning commutes with an average time of 16.5 minutes in which she drank the energy drink before biking. Is there sufficient evidence to show that the energy drink helped? Conduct a hypothesis test at the 5% significance level.
H0:μ≥17
Ha:μ<17
a. Conduct a hypothesis test and report the p-value.
p= (Include four decimal places)
b. At the 5% significance level, we conclude that Suzy bikes faster after drinking the energy drink.
- True
- False
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