4. The probability of committing a type I error is called a. acceptance region b. critical value c. level of significance d. critical region ANSWER: RATIO:
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- The table below displays the coronary artery disease data. The response, presence of coronary artery disease (CA), is dichotomous. The explanatory variables are sex and electrocardiogram (ECG) measurement. Sex ECG Disease No Disease Total Female Low 4 11 15 Female High 10 18 Male Low 18 Male High 21 27 Calculate the Mantel-Haenszel's estimate of the common odd-ratio value between ECG and coronary artery disease status. Round the value to the second decimal place. For example, 2.3414 would be 2.34.Explain how to find the critical values for a t-distribution. Click the icon to view the t-distribution table. Give the first step. Choose the correct answer below. O A. Identify the level of significance and the degrees of freedom, d.f. =n-1. 2 O B. Identify the level of significance 1- a and the degrees of freedom, d.f. = n. c. Identify the level of significance a and the degrees of freedom, d.f. = n-1. 1-a O D. Identify the level of significance and the degrees of freedom, d.f. = n. 2 Find the critical value(s) using the given t-distribution table in the row with the.correct degrees of freedom. column with a V sign. If the hypothesis test is left-tailed, use the "One tail, a" "Two tails, "Two tails, a" "One tail, 5In a bell-shaped, normal distribution, a. mode = 0 b. median > mean c. median < mean d. median = mean
- The table below shows the distribution of weight of a certain type of fruit. weight frequency <10 4 <15 3 <20 23 <25 54 <30 16 <35 9 <40 7 <45 4 1) Draw the histogram of the data and use it to estimate the model weight. 2) calculate mean, median and interquartile range.Genetic drugs are lower cost substitutes for brand-name drugs. Before a genetic drug can be sold in the United States, it must be tested found to perform equivalently to the brand-name product. The U.S. Food and Drug Administration is now supervising the testing of new genetic antifungal ointment. The Brand-name ointment is known to deliver a mean of 3.5 micrograms of active ingredient to each square centimeter of skin. As part of the testing, seven subjects apply the ointment. Six hours later, the amount of drugs that has been absorbed into the skin measured. The amounts, in micrograms, are 2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7 How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Test by using a confidence interval with ?=0.05α=0.05. Show Step1-Step3. Round critical value to nearest hundredth. (e.g. 0.1256 would be entered as 0.13) Round confidence interval to nearest thousandth. (e.g. 0.12456 would be entered as 0.125)Number of Number of patients lesions Cholestyramine group Placebo group 64GAONTO 3 5 7 8 >10 Total 5 4 6 5 7 8 4649 00 6 7 2 60 2 4 6 697524 8 57 You have a choice between Poisson and negative binomial distributions, as possible models for the number of lesions in the cholestyramine group. Using the x²-test check which distribution better fits the data (e.g., results in smaller chi-square statistic). For the negative binomial use r=4 and p = 0.44, and for the Poisson use λ = 4.6.
- A stem plot for the response times of the fire station that responds to calls in the northern part of town has been constructed below. Key: 1|2 = 12 minutes 013 3 3 3 014 4 4 4 4 5 5 5 5 5 5 0|6 7 7 018 8 8 8 8 9 9 1|0 0 0 0 1|2 Comment on the shape of the distribution and determine appropriate measures of center and spread.Here is an ANOVA Table: Source SS d.f. MS F p-value Among groups 1000 4 Error 3000 56 Total How many groups were in the study? How many subjects were in the study? Complete the ANOVA table. What is the critical value at 0.01? What conclusion is appropriate?Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the rate of 1 cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The results are given in the table below. Assume the distribution to be approximately normal. Do carpeted rooms have more bacteria than uncarpeted rooms? Carpeted Rooms Uncarpeted Rooms 11.7 12.0 8.2 8.3 7.1 3.8 13.1 7.3 10.6 12.0 10.1 11.1 14.8 10.3 14.0 13.7 What is the critical value(s) for this hypothesis test if group 1 is the carpeted rooms and group 2 is the uncarpeted rooms. 1.895 2.306 2.365 1.833 1.860
- It costs more to produce defective items—since they must be scrapped or reworked—than it does to produce non-defective items. This simple fact suggests that manufacturers should ensure the quality of their products by perfecting their production processes instead of depending on inspection of finished products (Deming, 1986). In order to better understand a particular metal stamping process, a manufacturer wishes to estimate the mean length of items produced by the process during the past 24 hours. a. How many parts should be sampled in order to estimate the population mean to within .2 millimeter (mm) with 95% confidence? Previous studies of this machine have indicated that the standard deviation of lengths produced by the stamping operation is about 2 mm. b. Time permits the use of a sample size no larger than 225. If a 95% confidence interval for m is constructed with n = 225, will it be wider or narrower than would have been obtained using the sample size determined in part a?…Find the Z scores for which 90% of the distributions area lies between -z and z 1) -1.96 ,1.96 2) -0.99 ,0.99 3) -1.645, 1.645 4) -2.33, 2.33 select the correct answerQuestion 2 > The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: |? Select an answer H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that . The data suggest the populaton mean is significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the…