Technetium-99 (
a. At noon, the patient is given 10 mCi (millicuries) of
b. At what time will the level of radioactivity reach 3 mCi? Round to the nearest tenth of an hour.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.arrow_forwardI want to assess whether or not students produce more stress hormones (cortisol) after watching different types of movies. I collect saliva samples (to assess cortisol, stress) from students after they watch an action movie and then another (two days later) after they watch a horror movie. The amount of stress hormone in the saliva is measured as ng/mL.Test the hypothesis that saliva cortisol levels will be different between the two genres of movies at an alpha of 0.05. (Have action - horror be set for your differences). a. What is the null hypothesis? b. What is the alternative hypothesis? Complete the Chart: (Differences between the two) Action Movie Horror Movie 10 12 15 18 16 17 20 21 24 22 24 23 26 27 13 16 18 20 19 23 20 15 24 25arrow_forwardI want to assess whether or not students produce more stress hormones (cortisol) after watching different types of movies. I collect saliva samples (to assess cortisol, stress) from students after they watch an action movie and then another (two days later) after they watch a horror movie. The amount of stress hormone in the saliva is measured as ng/mL.Test the hypothesis that saliva cortisol levels will be different between the two genres of movies at an alpha of 0.05. (Have action - horror be set for your differences). a. What is the null hypothesis? b. What is the alternative hypothesis? Data: Action Movie Horror Movie 10 12 -2 15 18 -3 16 17 -1 20 21 -1 24 22 2 24 23 1 26 27 1 13 16 -3 18 20 -2 19 23 -4 20 15 5 24 25 1arrow_forward
- I want to assess whether or not students produce more stress hormones (cortisol) after watching different types of movies. I collect saliva samples (to assess cortisol, stress) from students after they watch an action movie and then another (two days later) after they watch a horror movie. The amount of stress hormone in the saliva is measured as ng/mL.Test the hypothesis that saliva cortisol levels will be different between the two genres of movies at an alpha of 0.05. (Have action - horror be set for your differences). Data: Action Movie Horror Movie 10 12 -2 15 18 -3 16 17 -1 20 21 -1 24 22 2 24 23 1 26 27 1 13 16 -3 18 20 -2 19 23 -4 20 15 5 24 25 1 What are your degrees of freedom? What is the critical t value (from t table)? What is the mean of difference values?arrow_forwardUse the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 10371037 adults from Country A, 10511051 adults from Country B, 11031103 adults from Country C, and 10091009 adults from Country D. At alpha equals 0.07α=0.07, can you reject the claim that the proportion of adults in Country A who favor building new nuclear power plants in their country is the same as the proportion of adults from Country B who favor building new nuclear power plants in their country? Assume the random samples are independent. A bar graph has a vertical axis labeled from 0 to 100 in increments of 10. There are vertical bars with labels and heights in percentages as follows: Country A, 53; Country B, 50; Country C, 44; Country D, 34.020406080100Country A 53%Country B 50%Country C 44%Country D 34% Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. The…arrow_forward17.7 Butterfly wings. Researchers studied the morphological attributes of monarch butterflies (Danaus plexippus), a species that undertakes large seasonal migrations over North America. They measured the forewing weight (in milligrams, mg) of a sample of 92 monarch butterflies, all of which had been reared in captivity in identical conditions.° Figure 17.4 shows the output from the statistical software JMP. (The data are also available in the Large.Butterfly the data file if you wish to practice working with your own software.) Estimate with 95% confidence the mean forewing weight of monarch butterflies reared in captivity. Follow the four- step process as illustrated in Example 17.2. 4 STEP そMP FWweight 30 25 20 15 10 11 12 13 14 15 8 9 10 Summary Statistics Mean 11.795652 Std Dev 1.1759413 Std Err Mean 0.1226004 Upper 95% Mean Lower 95% Mean 1 FIGURE 17.4 Software output (JMP) for the forewing weight of monarch 12.039183 11.552122 92 N. butterflies. Countarrow_forward
- Chlorophylls a and b are plant pigments that absorb sunlight and transfer the energy into photosynthesis of carbohydrates from CO2 and H2O, releasing O2 in the process. Chlorophylls were extracted from chopped up grass and measured by spectrophotometry. The table shows results for chlorophyll a for four separate analysis of five blades of grass. Chlorophyll a (g/L) Blade 1 Blade 2 Blade 3 Blade 4 Blade 5 1.09 1.26 1.1 1.23 0.85 0.86 0.96 1.21 1.3 0.65 0.93 0.8 1.27 0.97 0.86 0.99 0.73 1.12 0.97 1.03 Four replicate measurements for each blade of grass tell us the precision of the analytical procedure (sanalysis). Differences between mean values for each of the five blades of grass are a measure of variation due to sampling (ssampling). Using Excel and it’s ANOVA function, find the standard deviations attributable to sampling and to analysis, as well as the overall standard deviation arising from both sources.arrow_forwardThe concentration of carbon dioxide (COy) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use COz to fuel photosynthesis, more COz may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra COz. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percentage increase per year. Here are one year's data Pair 1 2 3 Control Plot 9.752 7.263 5.742 Treated Plot 10.587 9.244 8.675 Treated - Control 0.835 1.981 2.933 State the null and alternative hypotheses. Explain clearly why the investigators used a onesided alternative. Use at procedure to carry out a test and report your conclusion in simple language. The investigators used the test you just carried out.Any use of the…arrow_forwardUse the figure to the right, which shows the percentages of adults from several countries who favor building new nuclear power plants in their country. The survey included random samples of 1115adults from Country A, 1021 adults from Country B,1038 adults from Country C, and 1067 adults from Country D. At α=0.04, can you reject the claim that the proportion of adults in Country C who favor building new nuclear power plants in their country is greater than the proportion of adults from Country D who favor building new nuclear power plants in their country? Assume the random samples are independent. Country A: 54%. Country B: 51%. Country C: 48%. Country D:37%. Part A: Choose the correct answer. A. H0:p1>p2 Ha:p1≤p2 B. H0:p1≤p2 Ha:p1>p2 C. H0:p1<p2 Ha:p1≥p2 D. H0:p1=p2 Ha:p1≠p2 E. H0:p1≠p2 Ha:p1=p2 F. H0:p1≥p2 Ha:p1<p2 Find the standardized test statistic. Use technology to calculate the P-value. Decide whether to reject or fail to reject the…arrow_forward
- A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungal infection. A simple random sample of 150 fish is taken and a careful examination determines that 12 of the fish sampled are infected. The infection would be contained if fewer than 10% of the fish were infected. Which test statistic would we use for the test? MSG OF = MSE Ο χ = Ο (0-E) E z = Po(1-Po -Ho O t= s/Vnarrow_forwardNumber 2 pls.arrow_forwardA vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until r = 16 of them have correctly diagnosed the problem. Suppose that this requires diagnoses by 20 different mechanics (so there were 4 incorrect diagnoses). Let p = P(correct diagnosis), so p is the proportion of all mechanics who would correctly diagnose the problem. What is the mle of p? p̂ = Is it the same as the mle if a random sample of 20 mechanics results in 16 correct diagnoses? Explain. No, the formula for the first one is (number of failures)/(number of trials) and the formula for the second one is (number of successes)/(number of failures). No, the formula for the first one is (number of failures)/(number of trials) and the formula for the second one is (number of successes)/(number of trials). Yes, both mles are equal to the fraction (number of successes)/(number of failures). No, the formula for the first one is (number of…arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning