table below shows a sample of waiting umes (in heart transplant two age groups. At a- that the vànances of tne times differ between tne two age groups? + 18-34 35-49 156 172 166 170 163 211 194 209 210 196 210 200 a) Determine the hypotheses. Let o? be the variance for the 18-34 group and let o? be the variance for the 35-49 group. Choose the correct answer below.
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The table below shows a sample of waiting times (in days) for a heart transplant for two age groups. At α=0.05, can you conclude that the variances of the waiting times differ between the two agegroups?
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- The cholesterol levels of adult males are approximately normally distributed with a mean of 224 mg/dL and a variance, o of 495. Some researchers claim that the variance of cholesterol levels of adult males is less than 495. A sample of 17 adult males' blood tests had a mean of 223 mg/dL and a variance of 274. Is there enough evidence to conclude, at the 0.05 level of significance, that the variance of cholesterol levels of adult males is less than 495? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H = 495 X The alternative hypothesis: H. < 495 ロ=ロ Degrees of freedom: The type of test statistic: Chi square 16 ロ#ロ OA study was conducted using 39 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed in the last month. Based on the data in the following table, is there a difference between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use α = 0.05 and assume that the population variances are equal. Group Mean () Standard Deviation (s) Size of Sample (n) Males 8.2 5.9 17 Females 5.6 5.7 222 questions Are the data sufficient to indicate a significant change in cholesterol level? Test with α = .05. 2. Compute r2, the percentage of variance accounted for by the treatment, to measure the size of the treatment.The Pearson's correlation coefficient (r) between height and weight of 100 individuals is calculated to be 0.75. At a significance level of 0.05, test the hypothesis that the population correlation coefficient is different from 0.For a standardized psychology examination, the scores have a mean of 500 and a variance of 9475. It is hypothesized that the variance, o, of scores for psychology majors on this exam is lower than 9475. A random sample of 26 exams completed by psychology majors had a mean of 509 and a variance of 3987. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 level of significance, that the hypothesis is correct? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) OThe Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, =y−41.990.51x . This line is shown in the scatter plot below. Based on the sample data and the regression line, complete the following. (a)For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that are ▼(Choose one) the mean of the used selling prices. (b)According to the regression equation, for an increase of…Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another random sample of 16 gears from the second supplier results in x2 = 310 and s2 = 22. Do the data support the claim that the mean impact strength of gears from supplier 2 is at least 10 foot-pounds higher than that of supplier 1, find the tcalc value? Please report your answer upto 3 decimal places.A producer of chocolate candy bars has developed an improved recipe for one of their most popular brands. They are conducting taste tests using randomly selected mall shoppers. One hundred shoppers were given the original recipe bar to taste and to rate it on a scale of 1 to 10. Another hundred shoppers were given the new recipe candy bar to taste and to rate it on a scale of 1 to 10. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run wtih a 95% level of confidence. RATING, 1 to 10 Original Recipe New Recipe Sample Mean 7.8 8.1 Sample Standard Deviation 1.2 1.6 Use this information to answer the following questions. (a) Find the difference between these sample means. (b) Find the variance of the original recipe sample. (c) Find the variance of the new recipe sample. (d) Which test should be run to determine if there is evidence of a difference in consumer preferences between the two recipes?…A survey was conducted to study the height of people from IBRI and NIZWA. The results are shown here. The researcher is interested to examine is there a significant difference between the average height of people of the two places at a=0.05. Write the hypothesis and evaluate t-test value only. [Assuming the population variances are equal and use 2-decimal places].Fifty students take two midterm exams. On the first exam, the mean score is 65.0 and the standard deviation is 7.00. On the second exam, the mean score is 55.0 with a standard deviation of 10.00. The correlation coefficient of the two score is 0.70. Obtain the least squares regression line using the second exam score to predict the first exam score.Two different formulas of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formula 1 is o? = 1.5, and for formula 2 it is o, the mean octane numbers observed are = 89.5 fluid ounces and I2 = 93.1 fluid ounces. Assume normality. = 1.2. Two random samples of size n1 = 15and n2 = 20 are tested, and (a) Test the hypotheses Ho : H1 H2 versus H1 : µ1 < µ2 using a = 0.05. Round your answer to three decimal places (e.g. 98.765). %| Zo v Ho. (b) Calculate a 95% two-sided confidence interval on the mean difference road octane number, x1 – X2. Round your answer to three decimal places (e.g. 98.765).It is known that the average yield per plant is 180 g and the variance is 250 g for a type of strawberry. 10 of this plant seed was grown in soils cultivated with a special method and average yield was observed to be 200 gr. Soil cultivation Test whether the method raises the yield average. (a = 0.05)SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. 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