(a) Decide upon the appropriate distribution associated with the R code provided below. (Hint: simulate a large number of observations) rnorm/nl
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- Compare the three distributions in terms of skewness, center, and spread. Is there any outlier for Cimetidine group per the 1.5 × IQR rule. Show your calculations(ONE WAY ANOVA) Find the ff: a. mean & variance of each sample b. find the grand mean c. find the between & withinI need help finding the mean for part D, I tried 1.510 and got it wrong and I also tried 1.496 and I also got that wrong.
- a study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use a 0.10 significance level for both parts. a. the test statistic, t, is(Round to two decimal places as needed.) b. The P-value is(Round to three decimal places as needed.) c. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. <μ1−μ2< (Round to three decimal places as needed.)Sam works at the JJ Electronics Factory. JJ produces the A23 electronic component. The length, X, of an A23, is normally distributed with a meanu = 10 centimeters and a standard deviation o = 0.53 centimeters. Sam randomly selects 20 A23 components from the production line for quality control purposes and measures their lengths. Let M be the sample mean length of the measured A23 components. Let S be the total length of the measured A23 components. (i.e. sum of the 20 lengths. a) What is the probability that X 10.5? .3085 c) What is the probability that all of the 20 measurements are less than 11? .0171 d) What is the expected value of S? 200 e) What is the standard deviation of S? 2.37 f) What is the probability that S-200 >2? 1.99 g) What is the standard deviation of S-200 2.37 h) What is the expected value of M? 10 i) What is the standard deviation of M? .1187 j) What is the probability that M >10.1? .199 k) What is the standard deviation of 9M? 1.068 1) If the probability of X >k…At the car production plant, the revision of 3850 units is carried out. The manager decides to conduct a lot inspection by means of a sample. He wants his study to be 98% confident and decides to allow a 5% error. Calculate the sample size to inspect a lot when: a. It starts and has never reviewed a batch so it does not haveprevious informationb. Several reviews of batches of the same size have been carried out and a positive variability of 0.75 has been obtained
- A school district decided to measure the BMI of all 3rd graders and identify the highest 1% and lowest 1% of those students. If the distribution is converted to a z distribution, what would be the upper critical z value and lower critical z value that mark the two significant areas at the tails?Consider the sample data 2, 4, and 6 with population standard deviation of 1.633. Compute the following using the formulas in Central Limit Theorem. N=3 n=2 sample mean sample standard deviation Choose... sample variance Choose... + Please answer all parts of the question.Q3: From the below Table, answer the following questions: NO Age Gender Salary 1001 20 1002 1003 22 30 1004 25 1005 34 1006 35 1007 38 1008 35 1009 30 M F F M F M F M 280 300 450 310 320 340 350 500 450 1)Trimmed mean 5% of age variable= 2) Interquartile Range of salary variable = 3) Variance of age variable = 4) Mean of salary variable = 5) represent the Gender variable by pie chart, showing the frequencies on it.
- Heeeelppppandomly selected students participated in an experiment to test their ability Co determine when one minute (60 seconds) has passed. Forty students yielded a a sample mean of 56.3 seconds. Assume that o = 6.5 seconds. %3D dents. Is it likely that their mean have an estimate that is reasonably close to 58 seconds?Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. OA. Ho: H₁1 H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic is 0.20. (Round to two decimal places as needed.) The P-value is 0.423. (Round to three decimal places as needed.) State the conclusion for the…