The data in the data below are the attempts and successes for a basketball player's shooting record from 2017 to 2020 seasons: Year Attempts Successes 2017 616 172 2018 550 152 2019 557 141 2020 260 57 a. Using alpha=0.05, test the theory that the basketball player's success rate iis constant over the four years. b. Estimate the p-value for the test in part a by specifying an interval where it must fall.
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- The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53A fisheries biologist collected a random sample of fish from a lake and conducted a chi-square goodness-of-fit test to see if the distribution of fish changed over time. The table below shows the distribution of fish that were put into the lake when it was originally stocked. Fish Type Trout Bass Perch Sunfish Catfish Percent 25% 25% 20% 15% 15% The biologist found evidence to reject the null hypothesis in favor of the alternative hypothesis. Which of the following represents the alternative hypothesis of the test?A group of six, obese adult men had their weights recorded both before and 10 months after having a diet treatment to help manage their weight. Observe the information presented in the table below: The weights of six obese adult men both before and 10-months after having a diet treatment Before Diet Treatment After Diet Treatment 250 240 225 215 220 198 311 300 326 298 205 205 Test at α = 0.05 the hypothesis that for the group, there was a statistically significant average decrease in weight from before diet treatment to 10 months after. Hint: This is hypothesis testing for paired samples. Here, you will use a paired t test.
- The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 93 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Usually Eat3 Meals a Day Rarely Eat3 Meals a DayMale 25 24Female 38 55 Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) X2= P-value=Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 µg/l? Based on your preceding result, without performing a calculation, would a 99% confidence interval for this difference contain 0? Explain why or why not.Use the following data to determine if drug B produces higher creatinine levels than drug A, assume the data is normally distributed. Creatinine levels (µmol/L) Drug A Drug B 48.2 52.3 54.6 57.4 58.3 55.6 47.8 53.2 51.4 61.3 52.0 58.0 55.2 59.8 49.1 54.8 49.9 52.6 Write out the null and alternative hypothesis in *words and symbols*. What is the hypothesis in words? Determine the critical value (use a significance level of 0.05) Calculate the test statistic, and determine if the results are significant or not. How did you calculate the standard deviations? Please provide a complete outline of calculations
- The following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination? *(no use EXCEL)As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Thirty minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.05? Dose Antidote 5 10 15 1 0.61.11.1 7.21.52.4 3.14.15.9 2 1.11.21.1 1.71.31.5 2.13.12.1 A) Obtain/compute the appropriate values to make a decision about H0.Antidote: critical value = test statistic = Decision: Dose: critical value = test statistic = Decision: Interaction: critical value = test statistic = Decision: B) Compute the corresponding effect size(s) and indicate magnitude(s).Antidote: η2 = Dose: η2 = Interaction: η2 =
- For a special pre–New Year’s Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time. The reaction times (in seconds) before and after consuming four drinks are in data below. At the 0.005 level, has the program host made his point? Identify and interpret the p-value for the test. Data: Subject Before After 1 0.32 0.39 2 0.39 0.44 3 0.36 0.49 4 0.41 0.53 5 0.37 0.46 6 0.42 0.52 7 0.41 0.52 8 0.43 0.46 9 0.39 0.55 10 0.41 0.52 11 0.35 0.45 12 0.42 0.41 13 0.32 0.54 14 0.39 0.46 15 0.41 0.53 16 0.33 0.54 17 0.43 0.46 18 0.42 0.43 19 0.41 0.52 20 0.35 0.52 21 0.39 0.41 22 0.39 0.44 23 0.32 0.50 24 0.33 0.53 25 0.31 0.45 26 0.35 0.45 27 0.31 0.45 28 0.32 0.48 29 0.38 0.54 30 0.37 0.46 31 0.39 0.49 32 0.30 0.51 33 0.40 0.49 34 0.41 0.50 35 0.41 0.53 36 0.35 0.47 37 0.37 0.51 38 0.41 0.46The below time series gives the indices of Industrial Production in U.S for 10 consecutive years. Year IP 1 79.62 2 86.54 3 88.14 4 89.23 5 93.45 6 97.4 7 99.34 8 96.98 9 100.22 10 103.56 Construct a time series plot. What type of pattern exists in the data? Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. c. What is the forecast for t = 11?A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. (a) Write the claim mathematically and identify H0 and Ha. A. H0: σ2≤1.33 (Claim) Ha: σ2>1.33 B. H0: σ2≠1.33 Ha: σ2=1.33 (Claim) C. H0: σ2≥1.33 Ha: σ2<1.33 (Claim) D. H0: σ2=1.33 (Claim) Ha: σ2≠1.33 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) enter your response here. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct statement below and fill in the corresponding answer boxes. A. The…