It is known that P (X
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It is known that P (X <a) = 0.15 for a random variable X known to be X~N(28.6; 65.61) . So what should be the appropriate value of a?
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- A consultant for a large university studied the number of hours per week freshmen watch TV versus the number of hours seniors do. The results of this study follow. Is there enough evidence to show the mean number of hours per week freshmen watch TV is different from the mean number of hours seniors do at α=0.1? Freshmen Seniors n 9 5 xbar 19.0 11.7 s 7.8740 3.9749 For the hypothesis statement above (in terms of Seniors - Freshmen), what is the decision?Please help me answer all partsH. Let X1,..., X, be a random sample from some distribution with unknown u. It's known that X 100 and X = 1783. %3D %3D (40) Supposen = 144 and o? = 12. The value of a, corresponding to the confidence interval [0.7, 1.3] is (a) 0.212 (b) 0.122 (c) 0.050 (d) 0.298
- The results of a hypothesis test are reported as follows in a scientific report: t(38) = -3.13, p < .05. Based on this information, which statement below is not correct? The sample size was n = 39. The conclusion reached by the researcher was to reject the null hypothesis. The sample mean was greater than the hypothesized population mean. The probability of a Type I error is less than 5%.Let X1,..., X be an independent trials process with common expected value 2 and common variance 17. What is the exact value of the expected value of the average A? What is the variance of the average An? Your formula should have n. According to the Chebyshev inequality, P(An 20.2) ≤ (your formula should have n) Using your bound from the Chebyshev inequality, how many trials are needed so that P(An 2≥ 0.2) 0.91? (see the note below here) If you get an answer like n > 123.8, round it up to the next whole number: Your response: 124I need the answer as soon as possible
- I need help with this question. Can you please go step by step because I am very confused?Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. Ho: μ = 6 H₁: μ #6 Suppose you also know the following information. The value of the test statistic based on the sample is 1.518 (rounded to 3 decimal places). The p-value is 0.129 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.3 0.2 0.1-Suppose there is a claim that a certain population has a mean, µ, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the…
