MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Which of the following relates to the rejection of the null hypothesis when it is actually true?
1. Type I error
2. Type II error
3. Power
4. Statistical significance
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- A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H#H2 OB. Ho: H1 H₂ H₁: H₁ H₂ H₁: H₁ H₂ D. Ho: ₁ = ₂ C. Ho: ₁ = ₂ H₁: µ₁ ‡µ₂ H₁: H₁ H₂ The test statistic, t, is . (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) ESIX n H₂ Treatment Placebo H₁ 28 2.36 36 2.61 0.96 S 0.66arrow_forwardHi could you correct the wrong answersarrow_forwardWhich of following is not true about the null hypothesis? Suggesting that there is an absence of effect Our sample would have the same mean as our population because there is a chance our sample would have a different mean than our population. The population mean of students at CSU will equal the population mean of students at universities in the U.S. There are two-tailed and one-tailed null hypotheses.arrow_forward
- Answer Barrow_forwardI'm not sure how to start the process of statistic z indicatesarrow_forwardAn RA at the University of Baltimore has concluded that the difference between the mean GPA scores of Senior and junior is statistically significant, when in fact the null hypothesis of no difference is true. What type of error has he committed?arrow_forward
- A Type I error is: Select one: incorrectly specifying the null hypothesis. accepting the null hypothesis when it is false. rejecting the null hypothesis when it is true. incorrectly specifying the alternative hypothesis.arrow_forwardA researcher is designing an experiment. Ultimately, she is hoping to reject her null hypothesis (i.e., show that the results of her experiment are statistically significant). What type of p-value would she want to obtain? 1. A large p-value. 2. A small p-value. 3. The size of a p-value has no impact on statistical significance.arrow_forwardThe body weight of a healthy 3-month-old colt should be about ? = 76 kg. (a) If you want to set up a statistical test to challenge the claim that ? = 76 kg, what would you use for the null hypothesis H0? ? > 76 kg? < 76 kg ? = 76 kg? ≠ 76 kg (b) In Nevada, there are many herds of wild horses. Suppose you want to test the claim that the average weight of a wild Nevada colt (3 months old) is less than 76 kg. What would you use for the alternate hypothesis H1? ? > 76 kg? < 76 kg ? = 76 kg? ≠ 76 kg (c) Suppose you want to test the claim that the average weight of such a wild colt is greater than 76 kg. What would you use for the alternate hypothesis? ? > 76 kg? < 76 kg ? = 76 kg? ≠ 76 kg (d) Suppose you want to test the claim that the average weight of such a wild colt is different from 76 kg. What would you use for the alternate hypothesis? ? > 76 kg? < 76 kg ? = 76 kg? ≠ 76 kg (e) For each of the tests in parts (b), (c), and (d), respectively,…arrow_forward
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