Go through the steps of ANOVA hypothesis testing to see if you can conclude that there difference among population means. Let a = 0.05. Research by Singh et al. as reported in the journal Clinical Immunology and Immunopath s concerned with immune abnormalities in autistic children. As part of their research they measurements on the serum concentration of an antigen in three samples of children, ll whom were 10 years old or younger. The results in units per milliliter of serum follow. Autistic Children: 755, 385, 380, 215, 400, 343, 415, 360, 345, 450, 410, 435, 460, 360, 225 Normal Children: 165, 390, 290, 435, 235, 320, 330, 205, 375, 345, 305, 220, 270, 355, 360 Mentally Retarded Children: 380, 510, 315, 565, 715, 380, 390, 245, 155, 335, 295, 200, 105, 105, 245

Compute the value of the test statistic and conclude.

Suppose the mean and variance of variable X are given respectively by μ = 36.2 and Var(X) =4.2. What is the average of the squared values of variable X?

A study published by Babcock and Marks (2010) showed that the average full-time U.S. college student studied for μ = 14 hours per week (SD = 4.8 hours per week) in 2005. We want to know if this average has changed in the past 15 years. In other words, we are going to do a study in which we try to determine whether there has been an impact of the passage of time on the amount of time college students spend studying. We selected a sample of n = 64 of today’s college students and find that they spent an average of M = 12.5 hours per week studying. Does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test (this means non-directional hypothesis) with α = .05.

Thirty different video games showing drug use were observed. The duration times of drug use ​(in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 92 ​sec, what does df​ denote, and what is its​ value?   what's the value of df?

The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation s = 0.4.  A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care.  The sample mean of these 100 measurements is  X = 9.8.  Is this evidence that the mean calcium level in the population from which these women come is less than 10?  To answer this question, we perform the following hypothesis test: H0: u = 10, Ha: u < 10. What is the test statistic? (use two decimal places in your answer) What is the p-value equal to? At the 10% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT t the 5% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT

Suppose the mean and variance of variable X are given respectively by μ = 30.9 and Var(X) =4.4. What is the average of the squared values of variable X?

Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Does there appear to be a​difference? Find the coefficient of variation for each of the two​ samples; then compare the variation. A. The coefficient of variation for the male pulse rates iS ​(Type an integer or decimal rounded to one decimal place as​ needed.)   B. The coefficient of variation for the female pulse rates is ​(Type an integer or decimal rounded to one decimal place as​ needed.)

Suppose an experiment finds that people taking a new herbal remedy get fewer colds than people taking a placebo.  The results are statistically significant at the 0.01 level.  Has the experiment proven that the herbal remedy works?

A water hose manufacturer has developed a light-weight hose for home owners. Besides being constructed of a lightweight material. one of the characteristics of the hose is that it shrinks when it is not in use. When in use, the length of hose extends to its advertised length of 50 feet. Twenty hoses are tested to see if the hoses extend to the length of 50 feet. The sample mean of the length of the hoses is 49 1/2 feet with a s of 15 inches. Test the hypothesis at alpha = .01 that the hoses are not equal to 50 feet.