A group of 13 health children and adolescents participated in a study designed to analyze the relationship between age (AGE in years) and average total sleep time (ATST in minutes).  To obtain a measure for ATST, recordings were taken on each subject on three consecutive nights and then averaged. The results obtained are given below along with the corresponding scatter plot. Age  ATST 4.4 586 14 461.75 10.1 491.1 6.7 565 11.5 462 9.6 532.1 12.4 477.6 8.9 515.2 11.1 493 7.75 528.3 5.5 575.9 8.6 532.5 7.2 530.5 Estimated regression line: y-hat = 648.483 - 14.041x  Suppose that a new subject is added to the study data and that subject is 12.5 years old with an AST of 580 minutes. IF the regression model were to be refit with this additional data point, would the new slope be greater or less than -14.041? Justify your response.

A survey has been conducted recently to study the hourly wages of part-time employees at the Food Delivery services sector. The result was organized into the following frequency distribution. Hourly Wages   Number of Part-time Employees $40 − less than $50 12 $50 − less than $60 26 $60 − less than $70 35 $70 − less than $80 17 $80 − less than $90 8 $90 − less than $100 2 (i) Calculate the mean, mode and standard deviation of the hourly wages. (ii) Calculate the coefficient of variation. (iii) If the median is equal to 64, calculate Pearson’s 2nd coefficient of skewness and interpret your answer briefly. (iv) The government wants to carry out similar survey next year. If the error of a point estimate of the mean is not more than $1.5, use the 97% confidence level to determine the sample size required to achieve this error.

Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are given. Complete parts (a) through (c) below. 32 54 11 15 35 21 OA. 158 34 15 55 51 11 35 2 1457 3 1234567 4123445566 511245666 34 33 46 OB. 11155 (a) Find the mean and median of the data. The mean is . (Round to three decimal places as needed.) 44 26 27 The median is .(Type an integer or a decimal.) (b) Draw a stem-and-leaf plot for the data using one row per stem. Which stem-and-leaf plot below shows the data? 2 112677 3 233445556 4 244666 5 1456 ... 21 42 38 OA. The distribution is symmetric. B. The distribution is skewed right (positively skewed). OC. The distribution is skewed left (negatively skewed). O D. The distribution is uniform. (c) Describe the shape of the distribution. Which description below best describes the shape of the distribution? 56 46 OC. 1112455668 2 14556 3 15 4 13457 5 223446667 46 27 33 35 22 44 36 0…

The following table shows a sample dataset of observation values of an independent variable, Age, and a dependent variable, number of toys Age 5 3 6 3 4 4 6 8 Toys 13 15 7 12 13 11 9 5 What is the value of Toys when Age is 7 (round your answer without decimal)