The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean ? = 125 and standard deviation ? = 14. Systolic blood pressure for males follows a normal distribution. Calculate the z-scores for the male systolic blood pressures 100 and 150 millimeters. you perform a one-sample t test and calculate a t statistic of 3.0. The mean of your sample was 1.3 and the standard deviation was 2.6. How many participants were used in this study? Men have an average weight of 172 pounds with a standard deviation of 29 pounds. Find the probability that 20 randomly selected men will have a sum weight greater than 3600 pounds. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. a. Is this a test of one mean or proportion? b. State the null and alternative hypotheses using symbols. c. Is this a right-tailed, left-tailed, or two-tailed test? d. What symbol represents the random variable for this test? e. In words, define the random variable for this test. f. Calculate the following: i. x ii. n iii. p? h. State the distribution to use for the hypothesis test. g. Calculate ?x i. Find the p-value. j. At a pre-conceived ? = 0.05, what is your: i. Decision ii. Reason for the decision iii. Conclusion (write out in a complete sentence): the random variable indicate whether this is a right, left, or two-tailed test the distribution you use to perform the test test statistic the p-value decision and reason for the decision conclusion The data below are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag. (6 points) X Freq 1 1 2 7 3 18 4 7 5 6 Construct a 95% confidence interval for the true mean number of colors on national flags. Calculate the following: a. lower limit b. upper limit c. error bound Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 60 entry level electrical engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard deviations were $3,450 and $4,210, respectively. Conduct a hypothesis test to determine if the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. (19 points) Make sure you include the following information: null and alternative hypotheses in words and symbols
