a)Let Y be a random variable whose probability density function and cumulative distributionfunction is given byb)and,f(y;0)=ey-8(1+ey-8)²F(y; 0) = 1-"11+ey-8,-∞ 1.ii) Find the power of the test which rejects Ho if Y > 1.iii) If a test that rejects Ho given Y₁ ≥c is considered. What will be the value of c when the levelof significance of the test is 0.1.The daily salaries (in rands) for an international bank are normally distributed with mean andstandard deviation of 14.20 and 3.50, respectively. Suppose that the bank randomly selectedfourty (40) tellers and hire them, paying each teller on average of 12.20 per day. Test at 1%level of significance whether the bank can be accused of paying poor salaries or not?

The level of significance is equal to the probability of type I error. The power of test is…

Answered: hypothesis H₁:0 = 1 using one random…

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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Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) Score 180 74 В 150 69 95 63 70 56 70 40 F 35 28 (a) The estimated regression equation for this data is ý = 25.870 + 0.291x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. O Ho: Bo * 0 H: Bo = 0 O Ho: B1 20 Hoi Bq < 0 O Ho: Bo = 0 Hg: Bo 0 O Ho: B1* 0 H: B, = 0 O Ho: B, = 0 H: B1 = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject H. We conclude that the relationship between price ($) and overall score is significant. O Do not reject…
Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?
The calibration of a scale is to be checked by weighing a 11 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with o = 0.200 kg. Let u denote the true average weight reading on the scale. (a) What hypotheses should be tested? Ho: H = 11 Ha: u + 11 Ho: H + 11 H3i H 11 a (b) With the sample mean itself as the test statistic, what is the P-value when x = 10.83? (Round your answer to four decimal places.) What would you conclude at significance level 0.01? Conclude that the true mean measured weight differs from 11 kg. Conclude that the true mean measured weight is the same as 11 kg. (c) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 11.2? (Round your answer to four decimal places.) For a test with a = 0.01, what is the probability that recalibration is judged unnecessary when in fact u = 10.9? (Round your answer to…
At an art store, the mean sale amount is $1250 per customer. The owner thinks that the mean sales amount increases during promotion. A random sample of 45 paintings purchased during a promotion was selected, the sample mean sales amount is x¯=1315. Assume σ=$155. How can I implement the hypothesis test to check if the mean sales amount increases during promotion, and let α=0.01. I want to solve by both P-value method and reject region method.
6- Hi Wonderful Bartleby Team (Thanks for all the help I do really aprecciate all you guys do) I need help with this exercise from stats. Thanks in advance
paired T test for the following: My project question is: Did the mental health decline after COVID? Score 1 is the avg mental health score pre-covid, score 2 is the avg mental health score post- covid. Show your work.
(b) x = 25.1 Find the value of the test statistic. Find the p-value. p-value - State your concluslon. O Reject Ho. There is sufficient evidence to conclude that u z 22. Reject Hg. There is insufficient evidence to conclude that u = 22. O Do not reject Ho. There is insufficient evidence to conclude that u + 22. O Do not reject Ho: There is sufficient evidence to conclude that u + 22. (c) x = 21 Find the value of the test statistlc. Find the p-value. p-value = State your conclusion. O Reject Ho. There Is sufficlent evidence to conclude that u + 22. O Reject Hg. There is insufficient evidence to conclude that u + 22. O Do not reject Ho- There is insufficient evidence to conclude that pu + 22. O Do not reject Hp. There is sufficient evidence to conclude that u + 22.
for testing hypothesis h0:u=5 versus h1:u>5. And the value of test statistic z is 2.03. Then, find the p-value of test
Fisher's exact p-value 3.0 puntos posibles (calificables, resultados ocultos) In the table of data below, the column labeled Y is the observed outcome and W is the indicator of treatment, i.e. W = 1 indicates that Y in the same row is the observed outcome from a treatment unit, and W = 0 indicates that Y in the same row is the observed outcome from a control unit. Y W 0.5 1 0.2 0 0.4 0 0.7 1 Compute the test statistic T for the Fisher Exact Test. T = Conduct the two-sided Fisher Exact Test on the data above and report the p-value. Fisher's p-value:
A coin was flipped 69 times and came up heads 39 times. At the .10 level of significance, is the coin biased toward heads? (a-1) H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance. Reject H0 if z > 1.282 Reject H0 if z < 1.282 a b (a-2) Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer to 3 decimal places.) Test statistic (a-3) The null hypothesis should be rejected. False True (a-4) The true proportion is greater than .50. False True (b-1) Find the p-value. (Round your answer to 4 decimal places.) p-value (b-2) Is the coin biased toward heads? No Yes
Just solve (d,e,f,g)
Suppose there is a claim that a certain population has a mean, µ, that is different than 7. 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. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…

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