Statistics Assignment

#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.

#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? And how to draw the linear regression graph based on this model? Thanks.

If someone gets a raw score that is also the mean, median and mode of the data sample, where on the normal curve would the data point be plotted after it is transformed to a standard score At the first stanine At the very beginning of the normal curve At the point in the normal curve where it folds over on itself symmetrically, i.e., in the middle The mean, median, and mode cannot be the same point on the curve

Use a chi-square test for independence to compare the proportion of males and females (sex) that indicate that they have trouble falling asleep (trubslep) ²critical= ²calculated = Decision = Report results:

As the sample size increases, the variability among the sample means increases decreases remains the same depends upon the specific population being sampled

compute: standard deviation, Second quartile Q2, SEVENTH DECILE D7, 69TH PERENTILEP69, THE COEFFICIENT OF SKEWNESS USING KARL-PEARSON’S COEFFICIENT OF SKEWNESS SECOND , THIRD , AND THE FOURTH MOMENTS and coefficient of kurtosis

Let X represent the SAT score of an entering freshman at University X. The random variable X is known to have a N(1170, 80) distribution. Let Y represent the SAT score of an entering freshman at University Y. The random variable Y is known to have a N(1200, 100) distribution. A random sample of 100 freshmen is obtained from each university. Let Xbar= the sample mean of the 100 scores from University X, andY^ = the sample mean of the 100 scores from University Y.   First, find the pvalue that Xbar will be less than 1180. Then find the probability (p-value) that Y^ will be greater than 1180. Please show calculations to understand.

A researcher conducts a mileage economy test involving 80 cars. The frequency distribution describing average miles per gallon (mpg) appears in the following table. (Chart is in image form) (a) What percentage of the cars got 35 mpg or more? (b) Is the distribution symmetric, positively skewed, or negatively skewed?

A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance o^2= 25.1 . In a different section of Chaco Canyon, a random sample of 23 transects gave a sample variance s^2= 53.3 for the number of sites per transect. Use an a=0.05  to test the claim that the variance in the new section is greater than 25.1.Verify that P-value < 0.005, will you reject or fail to reject the null hypothesis of independence? answer options:   Since the P-value is less than the level of significance, we reject the null hypothesis that the variance is equal to 25.1. At 0.05 level of significance, we conclude that the variance is greater than 25.1.   Since the P-value is less than the level of significance, we reject the null hypothesis that the variance is greater…

Listed in the data table are amounts of​ strontium-90 (in​ millibecquerels, or​mBq, per gram of​ calcium) in a simple random sample of baby teeth obtained from residents in two cities. 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.  City_#1 City_#2 100 117 86 61 121 100 119 85 101 89 104 107 213 110 116 111 290 142 100 133 283 101 145 209   The test statistic is   The​ P-value is     construct a confidence interval suitable for testing the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater than the mean amount from city​ #2 residents.   ____mBq<μ1−μ2<____mBq

HELP PLEASE

An excess of high values for the cases distributed on a graph results in a positive skew in the data?

Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. 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. City_#1 City_#2 100 117 86 84 121 100 120 85 101 90 104 107 213 110 136 111 290 126 100 133 289 101 145 209 Use a 0.01 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. The test statistic is The P-value State the conclusion for the test. a ) reject, There is sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. b )reject, There is not sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. c ) fail to reject,…

The time to fly between New York City Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the mean?

Each passenger on a plane brings one piece of luggage. The weight of a piece of luggage is normally distributed with mean 50 pounds and variance 150 pounds^2. The weight is independent across passengers. The total luggage weight on the plane cannot exceed 1000 pounds. What is the maximum number of passengers allowed such that with at least 0.9 probability the luggage weight is below the limit.

correct normal distribution notation 1. X~N(93.25,13.^1) 2. X~N(93.25,14.^4) 3.X~N(93.25,3.6^2) 4. X~N(93.25,3.7^2)

Suppose 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.