Hypothesis Test with a Known Standard DeviationAfter many years of commuting, Suzy knows that the can bike to her office in 17 minutes with a standarddeviation of 1 minute. While shopping, she finds an all-natural energy drink and decides to use it to shortenher commute time. Suzy records 12 morning commutes with an average time of 16.5 minutes in which shedrank 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.Но: > 17Ha: µ < 17Useful tools:Normal Distribution Calculatort-Distribution Calculatora. 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 TrueO False

Answered: Image /qna-images/answer/79ce0fa3-4cae-4bb2-9081-ebb3119d2930.jpg

Answered: After many years of commuting, Suzy…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
Mariah and Amanda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Mariah took a test in English and earned a 81, and Amanda took a test in Art History and earned a 61.8. Use the fact that all the students' test grades in the English class had a mean of 75.7 and a standard deviation of 9, and all the students' test grades in Art History had a mean of 60.7 and a standard deviation of 10.3 to answer the following questions.a) Calculate the z-score for Mariah's test grade.z=b) Calculate the z-score for Amanda's test grade.z=c) Which person did relatively better? Mariah Amanda They did equally well.
It takes an average of 9.9 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 50 injured patients to immediately tell the truth about the injury and noticed that they averaged 9.2 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.79 minutes. What can be concluded at the the 0.05 level of significance? a. The test statistics t = (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
Russell is doing some research before buying his first house. He is looking at two different areas of the city, and he wants to know if there is a significant difference between the mean prices of homes in the two areas. For the 39 homes he samples in the first area, the mean home price is $⁢176,400. Public records indicate that home prices in the first area have a population standard deviation of $⁢32,930. For the 32 homes he samples in the second area, the mean home price is $⁢181,500. Again, public records show that home prices in the second area have a population standard deviation of $⁢23,835. Let Population 1 be homes in the first area and Population 2 be homes in the second area. Construct a 95% confidence interval for the true difference between the mean home prices in the two areas. Round the endpoints of the interval to the nearest whole number, if necessary. Lowest Endpoint = upper Endpoint=
The tallest living man at one time had a height of 243 cm. The shortest living man at that time had a height of 127.5 cm. heights of men at that time had a mean of 170.52 cm and a standard deviation of 6.62. Which of these two men had the height that was more extreme? Use z scores
Rachael and Autumn began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Rachael took a test in English and earned a 81.8, and Autumn took a test in Math and earned a 63.6. Use the fact that all the students' test grades in the English class had a mean of 71.3 and a standard deviation of 11.4, and all the students' test grades in Math had a mean of 60.2 and a standard deviation of 8.3 to answer the following questions. a) Calculate the z-score for Rachael's test grade.z=z= b) Calculate the z-score for Autumn's test grade.z=z= c) Which person did relatively better? RachaelAutumnThey did equally well.
The average McDonald's restaurant generates $3.3 million in sales each year with a standard deviation of 0.8. Skyler wants to know if the average sales generated by McDonald's restaurants in North Carolina is different than the worldwide average. He surveys 25 restaurants in North Carolina and finds the following data (in millions of dollars): 2.3, 0.9, 2.2, 2.8, 3.1, 3.1, 2.3, 2.6, 2.7, 2.7, 3.1, 3.9, 4.1, 4, 4.5, 1.8, 4.3, 2.7, 3.9, 3.5, 3.2, 1.7, 3.5, 2.9, 2.1 Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Но: ? ? v Ha: ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v P(? v…
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
An environmental researcher took 30 water samples from different areas of a lake. He measured the pH level of each water sample. The standard deviation for the 30 pH levels was about 1.4.What is the best interpretation of the standard deviation? The pH level of a typical water sample was about 1.4 units from the mean on average. The difference between the minimum and maximum pH levels was about 1.4 units. The entire lake had a pH level that was about 1.4 units. The pH level of any given water sample was about 1.4 units from the mean. - this one is wrong
Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.
The average amount of money that each customer spends at a particular bar is $27.84 with a standard deviation of $7.32. The owner of the bar is attempting to increase sales. The owner decides that playing live music will increase sales. The owner tests her theory by getting her son’s garage band to play one night at the bar for a random sample of 64 of her customers and then records the check total for each customer who was there while the band was playing. The customers who were there while the band was playing spent an average of $24.56. Conduct a one-tailed hypothesis test with a significance level of 5% to determine if customers spent more money when the live music was playing.
To celebrate the end of final exams you and friends head to a favorite downtown restaurant. You find a street parking spot with a maximum of two hours. If you stay longer than two hours, you risk having your car towed away. No one has a watch or cellphone but you remember that the average time you spent at the same restaurant over your previous 16 visits is 1.5 hours, and you estimate the sample standard deviation to be about 20 minutes. You also need to factor in that it takes 8 minutes to walk to the restaurant and 8 minutes to walk back to your car (you are very certain about these two durations). (a) One of your friends is really worried that you won’t get back to the car in time and so the car might be towed away! Does your friend have good reason to be worried? Test at a 5% significance level whether the mean total time will be less than two hours. (b) You decide to leave the car parked at the street spot but it gets towed. What type of error have you committed?

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