1) Your instructor tells you that past average scores for the final exam are 75%. But this semester he has been using online quizzes to help your classbetter prepare for the final. Your class scored the following on the final exam: mean= 80% with a 10% standard deviation. There are 49 people in yourclass. Using a one-sample t test, what is your t score for this class? Assuming a = .05, did the online quizzes help your class perform better?2) Explain how we use t as an inferential statistic.

Since, you have posted mutiple questions, we will provide the solution only the first question as…

Answered: 1) Your instructor tells you that past…

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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An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 82 and in math 89. The overall results on the economics exam had a mean of 70 and a standard deviation of 7, while the mean math score was 69, with a standard deviation of 10. On which exam did she do better compared with the other students?
There is a new medication for diabetes, fifteen participants take the medication for fifteen days. The average blood glucose before taking the medication was 155 (population mean). The average blood glucose after taking the medication is 110. The standard deviation for the average glucose after taking the medication is 4.6. You want to evaluate if there is statistical evidence that there is a reduction in the mean glucose after taking the medication for 15 days. You must conduct a t-test. What is the t-statistic?
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?
You are part of a trivia team and have tracked your team's performance since you started playing, so you know that your scores are normally distributed with u = 76 and o = 12. Recently, a new person joined the team, and you think the scores have gotten better. The sample data is n = 12, sample mean = 86 Assuming a one tailed test, What is the test statistic?
A clinical psychologist took a sample of four people from the population of people with anxiety disorders and gave them an interval-level anxiety scale. Their score were 57, 60, 67, and 68 with a mean of 63.00. What is s?
Joe went bowling in two leagues. In the first league, the mean bowling score is 167 with a standard deviation of 44. In the second league the mean bowling score is 180 with a standard deviation of 36. If he bowls a game of 201 in both leagues, in which league is this score the best in comparison to other bowlers? Explain.

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