For a real −1≤?≤1 , define ??(?)=2??+1−? . It is easy to see that ?? is...
For a real −1≤?≤1 , define ??(?)=2??+1−? . It is easy to see that ?? is nonnegative and integrates to 1, namely is a distribution, over [0,1] . Consider the null hypotheis that ?=0 , namely ?? is uniform, and the alternative hypothesis that ?>0 .
A) Given a single sample, 0.8, from ?? , find the ? -value.
B) Find the lowest outcome for rejecting the null hypothesis with 5% significance level.
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For a real −1≤?≤1 , define ??(?)=2??+1−? . It is easy to see
that ?? is...
A die is rolled 120 times to see if it is fair. The table below shows...
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of αα = 0.05. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 1 17 2 20 3 17 4 27 5 19 6 20 Data: 17,20,17,27,19,20 Excel data Expected Frequency for Outcome...
A die is rolled 120 times to see if it is fair. The table below shows...
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.05. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 29 2 23 ديا 17 4 10 5 23 6 18 b. What is the correct statistical test to...
You want to see if it makes a difference which lane to be in when there...
You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 380 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 91 Lane 2 100 Lane 3...
A die is rolled 120 times to see if it is fair. The table below shows...
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a=0.10. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form) Frequency of Dice Values Outcome Frequency Expected Frequency aw- b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses?...
You are trying to determine if a certain die is fair (has a uniform distribution). You...
You are trying to determine if a certain die is fair (has a uniform distribution). You roll the die 96 times and record the outcomes in the table below. You conduct a chi-square Goodness-of-Fit hypothesis test at the 1% significance level. Outcome 1 2 3 4 5 6 Expected 16 16 16 16 16 16 Observed 9 17 5 18 18 29 (a) Select the correct null and alternative hypotheses for this test. Select all that apply: H0: The die...
PLEASE HELP!!! Question 1 You want to see if a card dealer is favoring one suit...
PLEASE HELP!!!
Question 1 You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 308 times. The results are displayed in the table below. Use an -0.01 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 84 Hearts 81 Diamonds 66 Clubs...
REDIT (10 pts). Suppose X = (Xi,Xy, ,x,000) are random variables taking values S Xi S 1 for all 1). Design a hypoth...
REDIT (10 pts). Suppose X = (Xi,Xy, ,x,000) are random variables taking values S Xi S 1 for all 1). Design a hypothesis test that tests the null hypothesis that 1, X', ...X,oo are iid (independent and identically-distributed) and uniform on [0, 1] at significance level α. (Recall that the best way to do this is to i) choose a statistic S(X) that you can compute the tion of, assuming the null hypothesis is true, and ii) use that to...
A researcher wished to see if there is evidence that graduates of one of the top...
A researcher wished to see if there is evidence that graduates of one of the top business programs perfom better than other investment managers. To do this, she tested the hypothesis: Null hypothesis: p = 0.25 Alternative Hypothesis: P > 0.25 Using a random sample of size n=100. In her sample, she found that the proportion of graduates of the top business programs who performed better than other investment managers was 35%. 1. Calculate the standard deviation value of the...
STEP 1 State the null and alternative hypotheses. STEP 2 Find the value of the test...
STEP 1 State the null and alternative hypotheses.
STEP 2 Find the value of the test statistic.
STEP 3 Specify if the test is one-tailed or two-tailed
STEP 4 Determine the decision rule for rejecting the null
hypothesis. (Reject H0 if t > )
STEP 5 Make the decision to reject or fail to reject the null
hypothesis
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.1...
The Toylot company makes an electric train with a motor that it claims will draw an...
The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.38 A, with a sample standard deviation of s = 0.41 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.) What are we testing...
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.05. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 29 2 23 ديا 17 4 10 5 23 6 18 b. What is the correct statistical test to...
You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 380 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.10. a. Complete the rest of the table by filling in the expected frequencies: Frequency of Cars in Each Lane Outcome Frequency Expected Frequency Lane 1 91 Lane 2 100 Lane 3...
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a=0.10. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form) Frequency of Dice Values Outcome Frequency Expected Frequency aw- b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses?...
PLEASE HELP!!!
Question 1 You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 308 times. The results are displayed in the table below. Use an -0.01 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 84 Hearts 81 Diamonds 66 Clubs...
REDIT (10 pts). Suppose X = (Xi,Xy, ,x,000) are random variables taking values S Xi S 1 for all 1). Design a hypothesis test that tests the null hypothesis that 1, X', ...X,oo are iid (independent and identically-distributed) and uniform on [0, 1] at significance level α. (Recall that the best way to do this is to i) choose a statistic S(X) that you can compute the tion of, assuming the null hypothesis is true, and ii) use that to...
STEP 1 State the null and alternative hypotheses.
STEP 2 Find the value of the test statistic.
STEP 3 Specify if the test is one-tailed or two-tailed
STEP 4 Determine the decision rule for rejecting the null
hypothesis. (Reject H0 if t > )
STEP 5 Make the decision to reject or fail to reject the null
hypothesis
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.1...
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