researcher speculates that because of differences in diet, Japanese children have a lower mean blood cholesterol level than U.S. children do. Suppose that the mean level for U.S. children is known to be 175. Let ? represent the true mean blood cholesterol level for Japanese children. What hypotheses should the researcher test? H0: ? = 175 versus Ha: ? > 165H0: ? = 175 versus Ha: ? < 185 H0: ? = 175 versus Ha: ? < 175H0: ? = 175 versus Ha: ? > 175H0: ? = 185 versus Ha: ? > 175
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A: Claim; μ>136mm x=148 s=15
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- According to Chebyshev's theorem, what is the maximum proportion of data values from a data set that are more than 1.5 standard deviations from the mean.The results of a common standardized test used in psychology research is designed so that the population mean is 115 and the standard deviation is 30. A subject earns a score of 199. What is the z-score for this raw score?During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1526, 1528, 1503, 1513, 1531, and 1516. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1519. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? (a) The mean is 1519.5. (Round to one decimal place as needed.) The median is 1521 (Type an integer or a decimal. Do not round.) (b) The mean is (Round to one decimal place as needed.)
- A research study investigates the occurrence of extra heartbeats between untrained and trained older patients at risk for heart attack. Researchers decide to test whether there is a significant difference in the number of extra beats depending on training status. They obtain measurements over 10 minutes, summarized below. What did they find? If there is a significant difference, how big of one is there? (Provide a range.) dfadi = 25 (if needed) Status # patients Untrained 43 Mean # extra beats/10 min 72.46 32.35 Standard Deviation Minimum # extra beats Maximum # of extra beats Skew Kurtosis 28 165 -0.21 0.62 Trained 21 169.50 62.93 66 266 0.13 -0.1True or false - The number of languages a person can speak is a nominal variable, therefore we cannot calculate its median.A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ , for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 90 and that the standard deviation is 10 , but the psychologist believes that the value for the mean has changed. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 86 . Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?108690 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?108690In the context…
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He has good reason to believe that the mean systolic blood pressure, u, of CEOS of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOS of major corporations and finds the mean of the sample to be 120 mm Hg and the standard deviation of the sample to be 15 mm Hg. Based on this information, complete the parts below. (a) What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? H :0 OA consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, u, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is different from last year's mean, which was 2750 miles. The group plans to do a statistical test regarding the value of u. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2900miles and the standard deviation to be 800 miles. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test? Ho H is? u is ? In the context of this test, what is a Type II error? A Type II error is ? the hypothesis that u is ? when, in fact, u is ? Suppose that the group decides to reject the null hypothesis. What sort of error might it be…A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 85 and that the standard deviation is 15, but the psychologist has good reason to believe that the value for the mean has changed. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 75. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ x H₁ : ☐ H₁:0 □<ロ □ㄨˇ OA researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. A. H0: H1: B. Suppose that the researcher decides to reject the null hypothesis. Would the research be making a type I or type II error?Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the mean SI score, μ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 82and that the standard deviation is 12, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test. She takes a random sample of SI scores for smokers and computes the sample mean to be 7.Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?H0: μ is ?less than less than or equal togreater thangreater than or equal to not equal toequal to ? 82 74 12 H1: μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ? 82 74 12 In the context of this test, what is a Type II error?A Type…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. 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