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please solve parts 7, 8 and 9, and please sir check my solution before that, thank u very much
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- #Original immigrant datax = c(61159, 57524,56186,52254,54884,51869,29743,39877,50086,53672,65707,73861) #Age of labor dataage_over_16 = x*0.95 #Illegal immigrant data of employede1 = age_over_16*0.65 #Illegal immigrant data of unemployede2 = age_over_16*0.04 #Illegal immigrant data of Not in the labor forcee3 = age_over_16*0.30 What linear regression model should I use in R? Thanks.2/03/quizzes/50369/take During the exam you will be using a sample of 500 adults with the following variables: ● genhelf-variable recording general self-reported health coded 1 = very good, 2 = good, 3= fair, 4 = poor ● sbp-variable recording systolic blood pressure age age of the respondent in years • sex-coded 1 = male and 2 = female ● hi_sbp - indicator of high blood pressure coded 1 if the respondent's sbp is 130 or higher and 0 otherwise What type of chart is MOST appropriate for showing the relationship between the variables genhelf and hi_sbp? O multiple histograms O clustered bar chart O scatterplot O box and whisker plot (by categories) Bi 88 13°C MI du lChebyshev's theorem states that for any set of numbers, the fraction that will lie within K standard deviations of the mean is at least 1-1/k^2. Use this theorem to find the fraction of all the numbers of a data set that must lie within 3 standard deviations from the mean. At least____of all numbers must lie within 3 standard deviations from the mean. ( Type an integer or a fraction)
- Two companies manufacture a rubber material in- tended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard de- viation of wear are = 20 milligrams/1000 cycles and s = 2 milligrams/1000 cycles, while for company 2 we obtain = 15 milligrams/1000 cycles and s, = 8 milligrams/1000 cycles. Find a 95% confidence interval on the difference in mean wear µ, - Hz. Assume each population is normally distributed but that their variances are not equal. What is the lower bound? Three decimal placesHow to determine the appropriate tool when the variance is known, variance is unknown and when the central limit theorem is used.The annual rainfall (in inches) in a certain region is normally distributed with meanµ = 40 and variance σ^2 = 25. Find the probability that between 35 and 50 inches of rain will fall in theregion in the year 2021. Express your final answer in terms of the standard normalcumulative distribution function Φ. What is the probability that in at least 2 of the next 10 years less than 20inches of rain are recorded in the region?
- Give a real-life situation/scenario where Random Variability (1 for Discrete, 1 for Continuous) is being applied/exhibited. /Like Real life situation for (1) passengers and (2) for patientsExplain the reasons why we might have positive, negative z_scores? When is the z_ score equal 0Consider the set of pairs ((x, y)} of pairs shown in the following figure, which refers to two characters (x y) of a population of 5 individus 10 30 15 20 Looking at the figure it is easy to understand that the correlation coefficient y assumes a value in the range: O (a) (-1, -0.5) O (b) (0.5; 1) O (c) (-0.5, 0.5)
- Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were: Aptitude Score Frequency 4 1 1 4 4 The mean () aptitude score: (Please show your answer to 1 decimal place.) The median aptitude score: The mode aptitude score: (Please separate your answers by ',' in bimodal situation. Enter DNE if there is no mode.) Hint: Textbook Measures of CenterFind the probability that a random sample of 25 observations, from a normal population with variance o^2=6, has sample variance: Between 3,462 and 10,745Suppose we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birth weights are different from normal. To test this hypothesis, a random sample of 100 birth weights is selected from a list of full-term babies of SES mothers. The mean birth weight is found to be 115 oz. Suppose the average birth weight of all babies (based on nationwide surveys of millions of deliveries) is known to be 120 oz with = 24 oz. Set = .05 Assume all conditions are met, what is the p-value of their test? Give your answer to 4 decimal places.