A group of third grade students is taught using a new curriculum. A control group of third grade students is taught using the old curriculum. The reading test scores for the two groups are shown in the back-to-back stem-and-leaf plot. At a= 0.01, is there enough evidence to support the claim that the 99999741 6 011125789999 new method of teaching reading produces higher reading test scores than the old method does? Assume the population variances are equal. Complete parts (a) through (e) below. Assume the samples are random and independent, and the populations are normally distributed. Old New Curriculum Curriculum 3 6047 76654310569 700066679 857 Key: 4|7|0 = 74 Old and 70 New The null hypothesis, Ho, is u1 H2. The alternative hypothesis, Ha, is H1

The table (on the right) shows the daily COVID-19 confirmed cases in Toronto region from March 8, 2020 to May 16, 2020. (Source: Ontario Public Health ) Year Dally cases (# people) March 8- March 14 50 March 15-March 21 202 a) Use DESMOS graphing technology to create a scatter plot of the data on the next page. Choose March 8- March 14 as week March 22-March 28 357 March 20-April 459 b) On the DESMOS graphing calculator, Determine a linear, a quadratic, and an exponential model using regression. April 5-April 11 085 April 12-April 18 1506 April 19-April 25 1532 April 26-May 2 1201 May 3- May 0 1126 May 10- May 16 071 c) Write the equation of the three models in the table below. Do not write the general regression equations Models Equation R SQUARE VALUE linear model 1 1 Quadratic model 2 Exponential model 3 3 d) Which model fits the data best? Justify using the value of the coefficient of determination

A father is concerned that his teenage son is watching too much television each day, since his son watches an average of 2 hours per day His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that can actually test to see whether or not his son is watching more TV than his peers The father collects a random sample of watching times from boys at his son's high school and gets the following data: 1.9, 2.3, 2.2, 1.9, 1.6, 2.6, 1.4, 2.0, 2.0, 2.2 Find a 95% confidence interval for the true mean number of hours teenagers at that school watch TV. a. Confidence Interval b. Conclusion

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. x 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25   (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and…

You also conducted a review of the research literature and found that similar studies examining the relationship between alcohol consumption and liver cancer found the following: Smithson et al. RR 3.3 (95% CI:1.95-5.20)  Ribera et al. RR 2.1 (95% CI:1.17-3.33)  Gonzalez et al. RR 2.75 (95% CI 2.26-3.45) Which one of Hill’s criteria does this illustrate? Explain.

4) A psychiatrist has developed a measurement instrument for the mental state of patients. The test is on a scale of 0-100 (with higher scores meaning the patient is suffering from a higher level of mental duress). She randomly selects a group of individuals to take part in a study using this measurement instrument, and she develops a stem-and-leaf plot of her data as follows: 0 6 11178 2 3 0017899 42 5 67788999 6 7114444499 8 889 9 01 Based on the stem-and-leaf plot, answer the following questions: a. What is the mean, median and mode? b. Mean: 55.08571, median:58, mode:74 c. What is the range, variance and standard deviation? Range: 85, variance 635.4336, standard deviation: 25.20781 d. What is the 25th percentile? What is the interpretation of this value? e. What is the 75th percentile? What is the interpretation of this value? f. What is the interquartile range (IQR)? g. What is the z-score for a patient that scores 88? What is the interpretation of this z score?

Dr. Maddan's eye drops are supposed to cause significant reduction is eye redness. The following table shows the results of a recent study where a random sample of individuals took part in a placebo controlled study. No Reduction in Redness Reduction in Redness Total Eye Drops 120 220 340 No Eye Drops Total 120 140 260 240 360 600 With 5% level of significance, determine if eye redness reduction is dependent upon taking the eye drops. Provide, a. the Chi-square statistic. b. the critical value or the p-value. c. Your decision on whether or not to reject Ho.

A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled "xy ", may aid in calculations.) Earnings per Current stock price, y (in dollars) share, x (in dollars) xy 37.59 1.19 44.7321 y 56.02 2.70 151.254 20.21 0.75 15.1575 X 41.33 0.91 37.6103 19.90 0.63 12.537 58.72 2.37 139.1664 43.33 1.45 62.8285 42.61 1.77 75.4197 13.72 0.52 7.1344 37.29 1.39 51.8331 30 30.12 0.93 28.0116 49.34 1.59 78.4506 Earnings per share (in…