The Flemish breed of rabbits have an average weight of 3600 grams. The Himalayan breed has a mean of 1875 grams. Matings between these two breeds produce an intermediate F1 ith a standard deviation of + 162 grams. The standard deviation of the F2 is ± 230 grams.
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estimate the average contribution of each active allele
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- A trainer has developed a training method that they believe could improve a person’s performance in a marathon. To test the training method’s effects, she randomly selects 61 runners. First, they all run a marathon using their typical training method, then 6 months later they all use the trainer’s new method to train, and run the same marathon again. The trainer measures the time it takes each runner to complete the first marathon and the second marathon. She uses an alpha level of .01 to test whether the runners’ are faster using her method (hint: which means the runners times would have decreased in the second marathon/or time 2) This hypothesis test requires a(n) a. Independent sample t-test b. Dependent sample/repeated measures t-test c. Single sample Z test d. Single sample t testLIGHT AT NIGHT MAKES FAT MICEStudies have shown that exposure to light at night is harmful to human health. A study in mice shows that light at night has an effect on weight gain after just three weeks. In the study, mice were randomly assigned to live in one of three light conditions: LD had a standard light/dark cycle, LL had bright light all the time, and DM had dim light when there normally would have been darkness.Activity LevelsPerhaps the mice with light at night gain more weight because they are exercising less. The conditions for an ANOVA test are met and computer output is shown for testing the average activity level for each of the three light conditions. The null hypothesis is that mean activity level is not related to light condition, while the alternative hypothesis is that the mean activity level is related to light condition. Is there a significant difference in mean activity level? Level N Mean StDev DM 10 2503 1999 LD 8 2433 2266 LL 9 2862 2418 One-way…A study shows that exercise appears to offer some resiliency against stress. In the study, mice were randomly assigned to live in an enriched environment (EE), a standard environment (SE), or an impoverished environment (IE) for several weeks. Only the enriched environment provided opportunities for exercise. Half the mice then remained in their home cage (HC) as control groups while half were subjected to stress (SD) by being placed repeatedly with a very aggressive mouse. All the mice in SD exhibited acute signs of stress during these brief exposures to "mouse bullies." The researchers were interested in how resilient the mice were in recovering from the stress after the mouse bullying stopped.' There were eight mice in each of the six groups, and conditions for the ANOVA tests are met. Time Hiding in Darkness One measure of mouse anxiety is amount of time hiding in a dark compartment, with mice that are more anxious spending more time in darkness. The amount of time (in seconds)…
- LIGHT AT NIGHT MAKES FAT MICE Studies have shown that exposure to light at night is harmful to human health. A study in mice shows that light at night has an effect on weight gain after just three weeks. In the study, mice were randomly assigned to live in one of three light conditions: LD had a standard light/dark cycle, LL had bright light all the time, and DM had dim light when there normally would have been darkness. Body Mass Gain The mice in the study had body mass measured throughout the study. Computer output showing an analysis of variance table to test for a difference in mean body mass gain (in grams) after four weeks between mice in the three different light conditions is shown below. The conditions for ANOVA are met. The null hypothesis is that the amount of light at night does not affect how much weight is gained. The alternative hypothesis is that the amount of light at night has some effect on mean weight gain. Level N Mean StDev Part 1 (a) What is the F-statistic? The…Dean for student affairs of a small university is worried about students’ expenditure on internet expense during the period study from home since this Covid-19 outbreak. Especially she wants to know whether students of social sciences spend more compared to students from science and technology. As a quick and preliminary study, she collected a sample of 9 students from science and technology and 11 students from social sciences. Total spending for internet is in Rp0000 during the month of April 2029. The results are presented in the following table. Questions: 1. Explain whether you can or cannot use normal approach to the case. 2. Conduct the test by showing formal steps in hypothesis test (design, decision rule, statistical test, and conclusion) at α = 0.05Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
- 1. If the coeficient of correlation (7) between two variables is zero, how might a scatter diagram of these variable appear? a. Random points b. A least squares line that slopes up to the right CA least squares line that slopes down to the right d. Under this condition, a scatter diagram could not be plotted on a graph.Test whether there is a significant interaction effect between noise (Factor A) and gender (Factor B) at a 5% significance.As products come off a large assembly line, they are inspected for quality. They are placed into one of three categories: pass, fail, or need additional inspection. The manager claims that 80% of the products pass the inspection, 5% fail, and 15% need additional inspection. In an effort to increase the passing rate, the machines are recalibrated. After this recalibration, a random sample of 100 products is selected. It is discovered that 85 passed inspection, 2 failed, and 13 needed additional inspection. The manager would like to know if there is convincing evidence that the distribution has changed. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. χ2 = 2.38, P-value is less than 0.0005 χ2 = 2.38, P-value is greater than 0.25 χ2 = 5.10, P-value is less than 0.0005 χ2 = 5.10, P-value is greater than 0.25
- A study was conducted that investigated the gene ACTN3, which encodes a protein that functions in fast-twitch muscle fibres. People can be classified according to which genotype of this gene they have, RR, RX or XX. The study included a sample of elite sprinters and a sample of endurance athletes. The researchers are investigating whether there is an association between the genotype classification and the type of athlete (sprinters or endurance). What type of hypothesis test would be appropriate for this study? Explain your answer in one or two sentences.A study indicates that CB radio use speeds up activity in the brain. As part of a randomized crossover study, 36 participants were fitted with a CB radio device on each ear and then underwent two positron emission topography, or PET, scans to measure brain glucose metabolism. During one scan, the CB radios were both turned off. During the other scan, an automated 40- minute muted signal was sent to the radio on the right ear. The order of when the signal was received (for the first or second scan) was randomized. Comparison of the PET scans showed a minor increase in activity in the part of the brain closest to the antenna during the transmission of the automated signal. Was this an observational study or an experiment? Explain why. O The study is an observational study because the reseashers cannot control the response variable during the signal. O The study is an observational study because the researchers only observe values of the response and explanatory variables. O The study is…A crop researcher investigated the phenotypes that resulted from crossing two different types of cucumber plants. There are 4 possible resulting phenotypes (numbered 1, 2, 3, 4 in the data table below). Mendel's laws of genetic inheritance ('the model') suggest that the proportions should be 9/16, 3/16, 3/16 and 1/16 for phenotypes 1, 2, 3, 4 respectively. The classification of a sample of 1400 observations is given below together with the proportions suggested by Mendel's laws of inheritance (the model). Give the degrees of freedom that would be used in a test of whether or not the crossing results in a population that follows Mendel's laws of inheritance. Degrees of freedom =