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. Ho:μ > 17 Ha: μ < 17 Useful tools: Normal Distribution Calculator t-Distribution Calculator 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. O True O False

Accordi the historical data, the life expectancy in Mexico is equal to the life expectancy in Spain. A new study has been made to see whether this has changea. Records of 205 individuals from Mexico who died recently are selected at random. The 205 individuals lived an average of 71.8 years with a standard deviation of 2.6 years. Records of 250 individuals from Spain who died recently are selected at random and independently. The 250 individuals lived an average of 71.2 years with a standard deviation of 3.0 years. Assume that the population standard deviation of the life expectancy can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the life expectancy, H1, in Mexico is not equal to the life expectancy, µ,, in Spain anymore? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three…

A physical fitness trainer has several workouts she developed for increasing female upper body strength. All the workout plans are created based on the average adult women’s bench press ability.  The average adult woman can bench 115 lbs. with a standard deviation of 18 pounds.  The trainer has a class of 14 females and does an initial test to see if the women are representative of the average female population.                         Data    Female Class     Bench Ability (lbs.) 1 130 2 100 3 99 4 114 5 130 6 97 7 114 8 135 9 128 10 128 11 116 12 141 13 113 14 116 Write the null and alternative hypothesis in statistical form: Determine the mean for the sample: Apply the z-test formula Zobt = Is this a one-tailed (directional test) or a two-tailed (non-directional test)?   What is your alpha level set to?   α =  Label the critical value(s) and indicate the position of the Zobt on the distribution…

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