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- 5.39 ● The following data on degree of exposure to 242Cmalpha particles (x) and the percentage of exposed cellswithout aberrations (y) appeared in the paper “Chromosome Aberrations Induced in Human Lymphocytes by D-TNeutrons” (Radiation Research [1984]: 561–573):The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?What are the approximate numbers of participants needed for each of the following planned studies to have 80% power, assuming equal numbers in the two groups and all using the 0.05 significance level? (Be sure to give the total number of participants needed, not just the number needed for each group.) Expected Means Study M1 M2 Expected SPooled Tails (a) 106.0 122.4 82.0 1 (b) 42.7 17.1 32.0 2 (c) 10.0 8.8 2.4 1 (d) 477.0 502.0 50.0 2 Approximate Number of Participants Needed in Each Group (Assuming Equal Sample Sizes) for 80% Power for the t Test for Independent Means, Testing Hypotheses at the 0.05 Significance Level Effect Size Small (0.20) Medium (0.50) Large (0.80) One-tailed 310 50 20 Two-tailed 393 64 26
- Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.1. In the book Design and Analysis of Experiments, 8th edition (2012, John Wiley & Sons), the results of an experiment involving a storage battery used in the launching mechanism of a shoulder-fired ground-to-air missile were presented. Three material types can be used to make the battery plates. The objective is to design a battery that is relatively unaffected by the ambient temperature. The output response from the battery is effective life in hours. Three temperature levels are selected, and a factorial experiment with four replicates is run. The data are as follows: Table 11.(a) Test the appropriate hypotheses and draw conclusions using the analysis ether either firing temperature or furnace position affects the baked density of a carbon anode. The data are as follows: Table 12.(a) State the hypotheses of interest. (b) Test the hypotheses in part (a) using the analysis of variance with a = 0.05. What are your conclusions? (c) Analyze the residuals from this experiment. (d)…An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity. 1) What are the null and alternative hypotheses 2)Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 3)Using a two-tailed alpha of .05 (a = 05), determine the critical…
- An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity. 1. What is the appropriate test to use ? 2. List the test's assumptions .You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the…An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity. 1. What is the appropriate test to use ? 2. List the test's assumptions .You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the…An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity. 1) write out the null and alternative hypotheses 2) Use an online calculator to calculate the exact p-value
- An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 1. State whether you reject or fail to reject the null hypothesis 2. Use an online calculator to calculate the exact p-value 3. Calculate and report the effect size 4. Based on the results of your analysis, does a 2-hour lunch break increase, decrease, or have no effect on productivity ?31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?A study was conducted in 1997 to measure the total fat content, calories, and sodium content of vegetable burgers available at supermarkets and commonly used as a meat substitute. Measurements on 54 different brands of "veggie burgers," and the results were used to develop the 3-way contingency table below. Under 130 Calories Under 130 Calories 130 Calories or More 130 Calories of More Total Fat Content Under 320 g Sodium 320 g Sodium or More Under 320 g of Sodium 320 g Sodium or More Under 3 g 6 12 1 1 3-4 g 7 4 3 5 Over 4 g 1 1 7 6 A= {"Under 130 Calories"}, B= {"320 g Sodium or More"} C= {"Over 4 g Total Fat"} A vegetable burger is selected randomly from the group. Find the following probabilities: Please Answer D, E, F (d.) P(A and B) (e.) P(A and B and C) (f.) P(A or B)
