MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Some people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such people. She filled 84 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 51 participants correctly identified the soda. Conduct and interpret a hypothesis test for the following question: are these people any better or worse at telling the difference between diet and regular soda than random guessing (correctly identify soda half of the time)? HINT: what is your hypothesized proportion if you want to test if these participants are right or not half of the time? Use a = .01 significance level. Solve Critical value:arrow_forward12arrow_forward2.) A packaging company advertises that their product weighs on average 16 oz. You feel the box is much lighter than this, so you run a hypothesis test. a.) State the hypotheses. b.) What would be a type l error in this situation? c.) How could you decrease your chance of making a type I error? d.) What would be a type II error in this situation?arrow_forward
- A baseball team claims that the mean length of its games is 2.8 hours. State Ho and H, in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. O A. The null hypothesis expressed in words is, "the mean length of a baseball team's games is 2.8 hours." The null hypothesis is expressed symbolically as, "Ho: u= 2.8." O B. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at least 2.8 hours." The null hypothesis is expressed symbolically as, "Ho: u22.8." OC. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at most 2.8 hours." The null hypothesis is expressed symbolically as, "Ho: uS2.8." O D. The null hypothesis expressed in words is, "the mean length of a baseball team's games is more than 2.8 hours." The null hypothesis is expressed…arrow_forwardThe probability that a student knows the correct answer to a multiple choice question is 2/3. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is 1/4.Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is 8/9 3/4 2/3 5/6arrow_forwardWhich set of numbers would correspond to a hypothesis test with the greatest power? Cohen's d = 0.6 & n = 500 O Cohen's d = 0.6 & n = 50 O Cohen's d = 0.5 & n = 50 O Cohen's d = 0.5 & n = 500arrow_forward
- Which of the following correctly describes the meaning of the p-value? a. The p-value is the probability the alternative hypothesis is true. b. The p-value is the probability the null hypothesis is true. c. The p-value is the probability we would get results like our sample (or something more extreme), given the null hypothesis is true. d. The p-value is the probability the null hypothesis is true, given our sample. e. The p-value is the probability the alternative hypothesis is true, given our sample.arrow_forwardPerform an appropriate hypothesis test to answer the above research question. What is the Null Hypothesis H0. Ho:arrow_forwardThis type of error in hypothesis testing is also known as a “false positive” result.A. Type IB. Type AC. Type IID. Type Barrow_forward
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