9 17. Eighty-eight residents of an Indian city, who were interviewed during a sample survey, are classified below according to their smoking and tea drinking habits. Calculate Yule's Coefficient of Association and comment on its value.
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- An article reported that in a particular year, there were 717 bicyclists killed on public roadways in a particular country, and that the average age of the cyclists killed was 43 years. These figures were based on an analysis of the records of all traffic-related deaths of bicyclists on public roadways of that country. (a) Does the group of 717 bicycle fatalities represent a census or a sample of the bicycle fatalities for that year? O a census O a sample (b) If the population of interest is bicycle traffic fatalities for this particular year, is the given average age of 43 years a number that describes a sample or a number that describes the population? O a number that describes a sample O a number that describes the population1. A car dealer wants to determine whether there is a difference in gas mileage between six car models. The ANOVA table for the data is given below. [Seorang pengusaha kereta ingin menentukan sama ada terdapat perbezaan perbatuan gas di antara 3 model kereta. Jadual ANOVA bagi data berkenaan seperti di bawah.] Source [Sumber] [Darjah kebebasan] [Jumlah kuasa dua] [Min kuasa dua] Treatment Degress of freedom Sum of squares Mean square F a 74 d f |[Rawatan] Error [Ralat] Total 35 195 Jumlah] (a) Complete the ANOVA table. [Lengkapkan jadual ANOVA tersebut.] (b) Write the hypotheses and determine whether there is a significant difference between mean gas mileage by different car models at a = 0.05. [Tulis hipotesis dan tentukan sama ada terdapat perbezaan yang signifikan antara perbatuan purata gas oleh model kereta yang berbeza pada a = 0.05.] %3D20. A team at a factory would like to monitor the number of defects in a TV screen. Twenty-five samples of five TV screens are inspected. Which of the following control charts is the most appropriate for this scenario? a. xbar and R chart b. c-chart c. p-chart d. np-chart
- 14. A total of 12 participants were randomly assigned to one of three treatment groups: antidepressant medication ("drug"), weekly psychotherapy ("therapy”), or no treatment ("control"). Depression scores were collected 8 weeks after treatment began. We want to know how effective the depression treatments were (that is, do the mean depression scores differ between groups?). Drug Drug Drug b) Determine what test to use. Drug Therapy Therapy Therapy Therapy Control Control Control Control a) What are the null and alternative hypotheses? 8 9 14 6 12 7 15 8 22 25 18 20 c) Determine alpha, how many tails are there, what are the df and find a critical value.1. Explain the difference between z-tests (which use categorical data), and t-tests (which use numerical data). 2. Conduct a t-test, both when given statistics, and when given data. 3. Conduct a t-test, 2-sample t-test, and paired t-test. 4. Differentiate between the five types of tests we have learned so far.8. a. Five group of students that consist of 10, 8, 11, 13 and 9 individuals. They consumed the mean average time in computer programming were 18, 33, 11, 42 and 53 hours respectively. Find the overall average time consuming the student groups in computer programming. b. Twelve homes in one city were underinsured on the average of $5,000, 24 homes in another city were underinsured on the average of $6,200 and 14 homes in a third city were underinsured on the average of $6,900. Find the overall average amount of the underinsured homes. c. A writer earns a mean average of $15.00 per hour for 4 hours of work, $17.50 per hour for 2 hours of work, $13.33 per hour for 3 hours and $14.00 per hour for 1 hour. What is the overall average earning per hour of the writer?
- 10. The most common species of sweat bees are green, red, and yellow. For each color, we select a sample of 100 of bees of this color and record their length (in inches). We then create 3 data sets of 100 observations each, called "green", "red" and "yellow". Below are the boxplots and histograms for these data sets. The labels of the variables are missing from the histograms, but are included in the boxplots. Our task is to identify the missing labels. Which one of the following statements is correct? HAE 1141 (a) green (b) red (c) yellow 00 0.5 1.0 1.5 2.0 0.5 1.0 1.5 20 0.0 05 1.0 1.5 (d) (e) (f) A) Histogram (d) is for green, (e) is for red, and (f) is for yellow. B) Histogram (f) is for green, (e) is for red, and (d) is for yellow. C) Histogram (e) is for green, (f) is for red, and (d) is for yellow. D) Histogram (f) is for green, (d) is for red, and (e) is for yellow. E) Histogram (d) is for green, (f) is for red, and (e) is for yellow. 9 2.010. The most common species of sweat bees are green, red, and yellow. For each color, we select a sample of 100 of bees of this color and record their length (in inches). We then create 3 data sets of 100 observations each, called "green", "red" and “yellow". Below are the boxplots and histograms for these data sets. The labels of the variables are missing from the histograms, but are included in the boxplots. Our task is to identify the missing labels. Which one of the following statements is correct? (a) green (b) red (c) yellow 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 (d) (e) (f) A) Histogram (d) is for green, (e) is for red, and (f) is for yellow. B) Histogram (f) is for green, (e) is for red, and (d) is for yellow. C) Histogram (e) is for green, (f) is for red, and (d) is for yellow. D) Histogram (f) is for green, (d) is for red, and (e) is for yellow. E) Histogram (d) is for green, (f) is for red, and (e) is for yellow. Frequency O'Z 02 4 Frequency OL Frequency…1.Are the individuals and their environment controlled in an observational study? A.Yes B,No C.Partially D.Cannot say
- 6. Automobile magazine provides information on new car models for the Malaysian market in 2022, including details on price, mileage, rating, engine size, body size and fuel consumption. A simple random sample of 35 new models yielded the following data on fuel consumption in litres. 17.2 16.9 18.0 20.0 19.3 12.5 25.0 23.1 15.3 25.5 24.0 22.2 20.0 26.4 17.5 20.0 18.5 26.0 14.5 20.0 16.9 19.8 14.5 18.5 18.1 15.9 21.1 16.4 16.8 17.5 17.0 21.0 13.2 14.1 23.0 a) Find a point estimate for the mean fuel consumption of all new car models. b) Interpret your answer in 6(a)18. A poll was taken of 14,056 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results were as follows. Male Female Total Education Level High School or Less Bachelor's Degree 3141 2434 5575 3619 3761 7380 472 Master's Degree 534 52 43 7346 6710 14,056 1006 95 Ph.D. Total A person is selected at random. Compute the following probabilities: (d) The probability that the selected person is male, given he has a Master's degree (e) The probability that the selected person does not have a Master's degree, given it is a male (f) The probability that the selected person is female, given that she has a Bachelor's degree (g) The probability that the selected person has a Ph.D, given it is a female2. The fuel economy sticker on a new SUV's window sticker indicates the owner can expect 16 mpg in city driving, 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank for 50 fill-ups of gasoline was collected: 17.6 17.7 18.1 22.0 17.0 19.4 18.9 17.4 21.0 19.2 18.3 19.1 20.7 16.7 19.4 18.2 18.4 17.1 17.4 15.8 17.9 18.0 16.3 17.5 17.3 20.4 19.1 21.0 18.1 19.0 19.6 18.9 16.8 18.2 17.6 19.1 18.0 16.8 20.9 17.9 17.7 20.3 18.6 19.0 16.5 19.4 18.6 18.6 17.3 18.7 a. b. Calculate the sample mean and standard deviation for this data. Round your answers to three decimal places. C. Can we consider the data to be normally distributed? Explain. d. Calculate a 99% confidence interval for this data set. Interpret your interval in the context of the problem.