A random sample of n = 4 individuals is selected from a population with µ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the statistic.) b. If there is no treatment effect, how much differ- ence is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.

The file Galton on D2L contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child. You can download this file into Excel and Minitab. a. Calculate the regression Height of Children = a +b (Height of Mid-Parents). b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents. c. Create a new variable in Minitab which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Minitab with is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx. You can create the new y and x variables in Excel of Minitab, whichever you find more convenient.…

Question 3 122 students at a college were asked whether they had completed their required English 101 course, and 79 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.

Write Up Assignment 4: Due March 24th Dt. Parker is a math professor at University Blackwood, home of the fighting corn nuggets. Dr. Parker has been gathering information on his Algebra I class for years. Dr. Parker also serves as a member of the graduate faculty in the Applied Statistics department at UB. You are one of Dr. Parker's graduate assistance (which can be a thankless position at times). Dr. Parker has given you a data set of his Algebra I case. Historically the final exam average for Dr. Parker's Algebra course has been 79.8. For this assignment you will use the data set provided and complete the following data analysis. 1. A correlation analysis For this analysis, you will select the correct variable or variables to be used and you will provide the following information below as a well written, referred document. A research question Variables used for the question The correct null and alternative hypotheses A description and the assumptions for the analysis Relevant SPSS…