Remember that in Pisum sativum, yellow seed color is dominant over green, and smooth seed is dominant over constricted. In a dihybrid cross experiment, the following data was gathered: 189 green, smooth 178 yellow, constricted 564 yellow, smooth 69 green, constricted Are these genes assort independently based on the observed data? Support your answer using Chi-square test. Ans.
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- Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked to think of creative uses for a brick; other subjects with a blue background were given the same task. Responses were scored by a panel of judges and results from scores of creativity are given in the accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). Click the icon to view the summary statistics. a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) The…A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 1. Before preforming an ANOVA, check the model…The drug Finasteride is marketed as Propecia to help protect against male pattern baldness, and it also may protect against prostate cancer. A large sampleof healthy men over age 55 were randomly assigned to receive either a daily Finasteride pill or a placebo. The study lasted seven years and the men had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368 men taking Finasteride and in 1145 of the 4692 men taking a placebo. 1.) Assume that the true risk of developing prostate cancer for a man taking Finasteride is equal to the one in this sample. If 10 men from the Finasteride group are randomly selected, what is the probability that at least one of them will develop prostate cancer? Answer choices: a. 0.184 b. 0.816 c. 0.869 d. 0.131
- Suppose you are a manager for a local clothing store. You want to introduce a new product for an upcoming holiday. You design 8 new products, and take a sample of 16 customers per product design, to determine if any of the products provide a different value to consumers through a rating system. Your one-way ANOVA test reveals a SSTotal of 8762, along with a sum of squares between treatments (SST) of 1204. Using this information, conduct the appropriate one-way ANOVA test, with a significance level of 1%, to determine if any of the products provide a significantly different value to consumers (significantly different average rating). What is the correct result of your analysis? We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of the analysis is smaller than the critical value. We cannot say that there is a significant difference in value to consumers between the products on average, since the F-statistic of…This is my output from SPSS [attatched] and I need to make a results section for it for this study: Single Sample: A cognitive psychologist believes that a particular drug affects short-term memory. The drug is safe, with no side effects. An experiment is conducted in which 8 randomly selected subjects are given the drug and then given a short time to memorize a list of 10 words. The subjects are then tested for retention 15 minutes after the memorization period. The number of words correctly recalled by each subject is as follows: 8,9,10,6,8,7,9,7. Over the past few years, the psychologist has collected a lot of data using this task with similar subjects and has obtained a mean of 6 words correctly recalled (the data were normally distributed). I cannot remember - what I need to do with these outputs to determine statistical significance? and where I need to read to know the effect size? Here is the example results section given by the instructor: A single sample t test was…an automobile engineer claims that 1in 10 automobile accidents are due to driver fatigue . if a random sample of 5 accidents observed , then the probabilty that 3 accidentsare due to drive fatigue is
- A researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin Valerian Placebo n=6 n=10 n=4 N=20 M=14 M=13 M=9 G=250 T=84 T=130 T=36 ΣX2=3377 SS=60 SS=90 SS=37 a. Using symbols, state the hypotheses for a two-tailed test with α=0.05. b. Locate the critical region. In doing so, determine the degrees of freedom values. c. Calculate the F-ratio.A psychologist would like to know whether the season (autumn, winter, spring, and summer) has arny consistent effecat on people's sexual activity. In the middle of each sason, a psychologist selects a random sample of n = 26 studerts. Cach individual is given a sexual activity questionnaire. A one-factor ANOVA was used to analyze these data. Complete the following, ANOVA summary lable (a = 0.05). Round values for SS and MS to 3 decimal places as needed. Round p-value to 4 decimal places. Source ss df MS IP Between Within 1394 TOTAL With the given significance level, what is the decision regarding the hypotheses? Oreject the null hypothesis Ofail to reject the null hypothesis What would you canclude about these treatments? OThere is a meaningful difference between treatments. Thus, at least one mean is different. O These data do not provide meaningful evidence of a difference between the treatments. Thus, continue to assume all means are the same.We are interested in comparing the proportions of men and women who say earning a large salary is very important to them. You surveyed 200 men and 200 women and recorded their answers to the question as “yes” (earning a large salary is very important) or “no” (earning a large salary is not very important). Yes No Total Men 150 50 200 Women 110 90 200 Total 260 140 400 Test the association between sex and the importance of earning a large salary using a z-test. Provide the null and alternative hypotheses, test statistic, p-value, and conclude test with 0.01 signifigance.
- The drug Finasteride is marketed as Propecia to help protect against male pattern baldness, and it also may protect against prostate cancer. A large sampleof healthy men over age 55 were randomly assigned to receive either a daily Finasteride pill or a placebo. The study lasted seven years and the men had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368 men taking Finasteride and in 1145 of the 4692 men taking a placebo. the 95% confidence interval for the risk difference is (-0.077, -0.043). Compared to this confidence interval, a 98% confidence interval for the risk difference is: a.) wider b.) there is not enough information provided to decide c.) half the width d.) the same width e.) narrowerCapsaicin content in red habanero chilli (Capsicum chinense Jacq.) is affected by the drying process. An experiment was conducted to determine the effect of using different drying temperatures (60 °C, 70 °C, and 80 °C) using an oven. Samples of red habanero chilli were procured. Upon checking, there were varying sizes of chilli and thus the experimenter grouped the samples according to size. Drying temperatures were then randomly assigned within each 8 hours. The capsaicin content was measured for each sample. The partial analysis of variance table is shown below: group for Source of Variation Fc p-value Size 2.1654 0.1560 Temperature 8.6013 0.0034 What is the maximum number of orthogonal contrasts that may be constructed for the post- hoc analysis of the effect of temperature? A. 0 В. 1 C. 2 D. 3A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 Write a set of hypotheses to test the mean…