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- 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 = The expected frequency, fe = ____If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) ?=4,?=0.2?=?2= ?= (b) ?=5,?=0.9?= ?2=?=Solve a,b,c. Typed answer please. I will rate
- Moving to another question will save this response. Quèstion 4 If X is a negative binomial random variable with p=0.6 and r=3 then variance 10 is 3 True False A Moving to another question will save this response. rch hp 立Types of Error: E In a certain population, the mean mu is 45. There are one thousand statisticians, and none of them know what mu is. Each statistician takes a simple random sample from this population, and each one uses his/her sample to perform the following two-sided test: H0: mu = 42 Ha: mu != 42 The plan is to reject the Null Hypothesis if the P-value is less than 0.05. How many of the statisticians will commit a Type-I error? Group of answer choices ( ) About half of them ( ) None of them. ( ) All of them. ( ) About 50 of them ( ) About 100 of them.A random variable has CDF What is p₂? F₁ = 0.25, 1, 0, 1, 2 i = 3
- Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.Select the appropriate response. bag contains 15 red balls and 3 green balls. One at a time a ball is selected, the color is recorded and the ball is returned to the bag. This is done until 100 balls have been pulled from the bag. X = number of outcomes that are red. Is X a binomial random variable? O Yes, is a binomial distribution. No, not a binomial because the number of trials is not fixed (known). O No, not a binomial distribution because there are more then two outcomes. O No, not a binomial because the probability of a success changes with each trial (the trials are not independent).One fair coin is tossed 25 times, let X be the number of getting heads out of those 25 tossing experiments. What is the mean and variance of X? 12 and 6.25 12.5 and 6.25 10 and 2.5 12.5 and 2.5
- 23 help me answer the problemSuppase there is a claim that a certaln population has a mean, u, that is less than 9. You want to test this clalm. 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, Hy and the alternative hypothesis, H, as follows. Ho p29 Suppose you also know the following information. The value of the test statistic based on the sample is -1.995 (rounded to 3 decimal places). The p-value is 0.023 (rounded to 3 dedmal places). (a) Complete the steps below for this hypothesis test. O One-tailed o Two-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.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less…37