Probability Scores 0.45 4 0.15 8 0.05 10 0.25 12 0.1 14 Find the variance of the above random variable random variable.
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- Probability Scores 0.05 2 0.2 4 0.1 5 0.15 6 0.1 7 0.4 9 Find the expected value of the above random variable.Probability Scores 0.15 1 2. 4. 0.05 0.25 0.5 0.05 12 Find the expected value of the above random variable.Probability Scores 0 3 5 6 14 0.1 0.35 0.2 0.2 0.15 Find the expected value of the above random variable.
- Scores Probability 1 6 9 11 14 0.05 0.05 0.25 0.15 0.5 Find the expected value of the above random variable.STATISTICAL ANALYSIS (No long explanation needed. Rate will be given and write the complete solutions.) Choose the correct answer. CI on the Mean, Variance Known a. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance increases. b. The probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases c. The probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases d. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance.…Full data set D A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Carpeted 11.4 10.2 Uncarpeted 10.9 10.9 5.9 10 13 6.9 10.9 8 5.2 6.6 6.4 7.7 7.1 1.2 Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: versus H1: Calculate the test statistic, to. to = (Round to two decimal places as needed.) %D Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta = B. ta/2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test…
- Probability Scores 0.15 1 0.1 2 0.15 8 0.05 9 0.4 13 0.15 14 Find the variance of the above random variable random variable.Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 88 63.9 85.5 62.7 65 83.2 61.9 88 62.7 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample: State the standard error of the sample means: State the test statistic: t=t= State the p-value: Decision: Fail to reject the null hypothesis. Reject the null hypothesis.Eighty-four percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results. Find the mean of the binomial distribution. μ=_________ (Round to two decimal places as needed.)
- Probability scores 0.2 2 0.05 7 0.2 8 0.2 13 0.35 14 Find the expected value of the above random variable.Determine the probability P (3) for a binomial experiment with n=8 trials and the success probability p=0.3. Then find the mean, variance, and standard deviation. Part 1 of 3 Determine the probability p(3). Round the answer to at least three decimal places. P(3)-O Part 2 of 3 Find the mean. If necessary, round the answer to two decimal places. The mean is Part 3 of 3 Find the variance and standard deviation. If necessary, round the variance to two decimal places and standard deviation to at least three decimal places. The variance is The standard deviation isProbability Scores 0.1 0 0.1 1 0.05 3 0.1 7 0.25 8 0.15 11 0.25 14 Find the expected value of the above random variable.
