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- AsapHomser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been ? = 9.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day:12 6 11 12 5 0 27 8 7 6 3 12 12 I need help with (b) and the value of the sample test statisticThe average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known). An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test. Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test
- 6disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 223 numerical entries from the file and r = 48 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.(i) Test the claim that p is less than 0.301. Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p < 0.301; H1: p = 0.301H0: p = 0.301; H1: p > 0.301 H0: p = 0.301; H1: p < 0.301H0: p = 0.301; H1: p ≠ 0.301 (b) What sampling distribution will you use? The standard normal, since np > 5 and nq > 5. The standard normal, since np < 5 and nq <…10. Claim: P₁ = P₂; α = 0.05. Sample statistics: x1 = 265, n₁ - X2 204, 2 - 301, 247 'D
- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:A student at a large university suspects Mr. Harsh is grading his statistics students too harshly. The student determines that over the past 2 years students in all sections of statistics (taught by other teachers) received grades of A, B, C, D, or F in the following proportions: A: 0.20; B: 0.30; C: 0.30; D: 0.10; and F: 0.10. The student then takes an SRS of 90 students who took statistics with Mr. Harsh in the past 2 years and gathers the following information: Grade Number of students B 26 12 28 15 The student performs the appropriate x procedure to test the hypothesis that the teacher's grade distribution is different from the other teachers, Which of the following expressions represents the expected count of the grade category D? O (0.10)(90) O 15? 90 (15-9) O (0.10)(15)2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment 1. What is the average number of calories consumed for children in this group? Use 2 decimals Hint: Don't forget to only use the subset of children that participated in meal prep aration. 2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standard error for the average of calories consumed by children participating in meal preparation. Enter the value using two decimals. Hint 2: The R command length() may be useful to find the appropriate sample size. 2c. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children participating in meal preparation (treatment 1) consume more than 400 calories, on average. Use the results obtained in the previous two questions and obtained the test statistic. Enter it here using two decimals. 2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that…
- A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. The table shows that there were 50 trials of picking a marble from the bag. 1.Use the results of the simulation to calculate the experimental probability of winning. Show your work and provide the formula/ratio used. 2.What was the most likely outcome in the simulation? What was the least likely outcome? Why?(1) Z: Your blood pressure Wood paneling can be ordered in thickness of ,or- inch. The random variable 16'8'7' X is the total thickness of paneling in two orders. List the elements in the sample space.Use the data and table below to test the indicated claim about the means of two paired populations (matched pairs). Assume that the two samples are each simple random samples selected from normally distributed populations. Make sure you identify all values. The table below shows the blood glucose of 20 students before breakfast and two hours after breakfast, using a specific insulin dosing formula to cover carbohydrates. Is there compelling statistical evidence that the specific insulin dosing formula is effective in reducing blood glucose levels? Use a significance level of 0.05. We have the differences (gain or loss), but we still need to compute the mean, standard deviation, and know the sample size for the differences (use Excel or Sheets for this computation). Once those are found, we can apply methods that are used for a 1 sample t-test. Student Before Meal After Meal Difference 1 161 114 -47 2 196 88 -108 3 132 80 -52 4 175 96 -79 5 169 112 -57 6 138 137…