If the total percentage of defective items is 8%, can it be concluded that at a level of α = 0.05 there is a discernible difference in the daily percentage of defective items?
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- A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 0 3 1 2 5 1 8 GPA 3.3 2.9 3.4 3.3 2.5 2.8 0.7 1. The p-value is: _____ (Round to four decimal places) 2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one). a. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. b. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. c. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. d. There is statistically insignificant…An experiment was conducted to test the effects of five different diets (A-E) in turkeys. Six turkeys were randomly assigned to each of the five different diet groups (Diet) and were fed for a fixed period of time. The weight gained in pounds was recorded for each turkey and the data was entered into R for analysis. R produced the following output. Between Within Total a. له له له م په b. C. d. e. Sum-of-squares (SS) Degrees of freedom Mean square (MS) ?? (b) 103.04 ???.?? (a) 110.9249 25 29 ????.??? (c) ????.??? (d) Find the sum-of-squares for within-group variability. Find the degrees of freedom for between-group variability. Find the mean-square of the between-group variability. F-statistic ??.????? p-value ????.??? (e) Find the mean-square of the within-group variability. Find the p-value for the ANOVA F-test. What is the conclusion? Are the means of the five diets significantly different?For the coefficient of an independent variable to be statistically significant and accepted as a valid estimate of the population coeficient, the prob. (or p-value) associated with the coefficient must be: O less than 0.01 O larger than 0.10 equal to or less than 0.05 O less than 1.00.
- Consider a sample of n = 114 women drawn randomly from the membership list of the National Organization for Women (N.O.W.), x = 24 of whom were found to smoke. Use the result of this sample to test whether the rate found is significantly different from the United States proportion of 0.31 for women and provide the z-statistic value below.number 28 The following data shows the price of a certain stock over the last 8 months. Month Price 1 2.10 2 1.98 3 2.01 4 1.89 5 1.90 6 1.89 7 1.72 8 1.65 (a) Develop a scatter diagram and draw a trend line through the points. A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right becoming more steep from (1, 1.7) to (8, 1.25). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right from (1, 2.1) to (8, 1.65). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter…S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with cancer. She obtains a sample of n = 20 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice self-report inventory for measuring the severity of depression. The scores from the sample produced a mean of M = 24.4 with a standard deviation of s = 6.02. In the general population of cancer patients, the standardized test is known to have a population mean of 27.2. Because there are no previous studies using SAM-e with this population, the researcher doesn't know how it will affect these patients; therefore, she uses a two-tailed single-sample t test to test the hypothesis. From the following, select the correct…
- According to the Official Stage Magician Handbook, magic rabbit weight (Ibs.) is normally distributed with u = 6.2 and o = 1.5. %3D Consider obtaining a random sample of 3 magic rabbits. Would it be unusual for the sample mean to be at least 6.5? Why or why not? Yes because the z-score corresponding to a sample mean of 6.5 would be z = 0.34. No because the z-score corresponding to a sample mean of 6.5 would be z = 0.34. O Yes because the z-score corresponding to a sample mean of 6.5 would be z = 0.20. O No because the z-score corresponding to a sample mean of 6.5 would be z = 0.20.Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds): 3.81 2.97 5.19 3.40 3.05 2.40 4.35 3.00 4.89 5.23 3.37 4.00 3.84 5.42 5.09 5.03 For this plot, the sample variance is . Another random sample of years for a second plot gave the following annual wheat production (in pounds): 3.53 3.65 3.89 4.19 3.44 3.42 3.58 3.83 3.46 4.32 3.58 3.45 3.77 3.54 3.48 4.07 For this plot, the sample variance is . Test the claim using that the population variance of annual wheat production for the first plot is larger than that for the second plot. Find (or estimate) the P-value of the sample…Consider the following two questions designed to assess quantitative literacy. 1. What is 15% of 1000? 2. A store is offering a 15% off sale on all TVs. The most popular television is normally priced at $1000. How much money would a customer save on the television during this sale? Suppose the first question is asked of 200 randomly selected college students, with 165 answering correctly; the second one is asked of a different random sample of 200 college students, resulting in 143 correct responses. Carry out a test of hypotheses at significance level 0.05 to decide if the true proportion of correct responses to the question without context exceeds that for the one with context. (Use p₁ for the true proportion students who answered the question without context correctly and p₂ for the true proportion of students who answered the question with context correctly.) State the relevant hypotheses. Ho: P₁ P₂ = 0 Ha: P₁ P₂ #0 Ho: P₁ Ha: P₁ Ho: P₁ Ha: P₁ Ho: P₁ Ha: P₁ USE SALT O Ho: P₁ Ha: P₁…
- Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds): 3.06 4.97 5.01 4.13 5.02 2.91 3.88 2.55 2.91 5.18 3.68 4.54 2.65 4.14 5.11 3.19 Use a calculator to verify that the sample variance for this plot is s^2=0.923. Another random sample of years for a second plot gave the following annual wheat production (in pounds): 3.61 3.50 3.81 3.89 3.84 3.50 3.53 3.62 3.67 4.05 3.82 4.12 3.75 3.92 4.05 4.01 Use a calculator to verify that the sample variance for this plot is s^2=0.042. Suppose that we test the claim using a=0.01 that the population variance of annual wheat production for the…A manufacturer of children's vitamins claims that its vitamins are mixed so that each batch has exactly the following percentages of each color: 20 % green, 30 % yellow, 30% red, and 20% orange. To test the claim that these percentages are incorrect, 100 bottles of vitamins were sampled and the colors of the vitamins were tallied. The results are listed in the following table. At a = 0.025, determine whether there is sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect. Number Children's Vitamins Green 906 I Yellow 1321 Porange Red 1306 Copy Data Step 1 of 4: State the null and alternative hypotheses in terms of the expected proportion for each color of vitamin. Ho:P green = - Pyellow = _Pred = Ha: There is a difference from the stated proportions. Orange 778Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11
