e) Find the mean median ed (6) X ~ Bi (np). If the mean is 102 cand o² = 0.12 Find the pr(x > 1)
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- Find the value of x if ST_ is the midsegment of ΔEFG.Use the formula to find the standard error of the distribution of differences in sample means, x⎯⎯1−x⎯⎯2x¯1-x¯2.Samples of size 100 from Population 1 with mean 95 and standard deviation 10 and samples of size 80 from Population 2 with mean 76 and standard deviation 17Round your answer for the standard error to two decimal places.standard error =5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
- A random sample of n1 = 20 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 11. For Englewood (a suburb of Denver), a random sample of n2 = 18 winter days gave a sample mean pollution index of x2 = 36. Previous studies show that ?2 = 15. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)b) Find (or estimate) the P-value. (Round your answer to four decimal places.)Let X = number of errors per 500 lines of software code. Suppose it is known that E(X) = 4.11 and E(X²) = 17.63. What is Var(X)? Answer:Here is part of a calculation in a spreadsheet working with population data of x. Which statement is incorrect? Q4. frequency,f 3 5 4 2 7 Total 10 23 ΣΤ= 10 & Σx = 23 & Σίx 49 E(x) = 4.9 The median of x is (4 + 7)/2. А. В. %3D C. D. H = 4.9 O A. A В. В С. С O D. D
- An individual’s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2012. For each age group, let the class midpoint represent theindependent variable, x. For the class “65 years and older,” we will assume that the class midpoint is 69.5. (a) Use a graphing utility to draw a scatter diagram of thedata. Comment on the type of relation that may existbetween the two variables.(b) Use a graphing utility to find the quadratic function ofbest fit that models the relation between age and medianincome.(c) Use the function found in part (b) to determine the age atwhich an individual can expect to earn the most income.(d) Use the function found in part (b) to predict the peakincome earned.(e) With a graphing utility, graph the quadratic function ofbest fit on the scatter diagram.Let x₁ represent the sample mean cost (in thousands) to remodel a kitchen and x₂ represent the sample mean cost (in thousands) to remodel a master bedroom. A point estimate for the difference in these remodeling costs is desired, so x₁ - x₂ is needed. A sample mean is calculated as follows where x, is the sum of the given values and n is the sample size. X = n The sample of costs to remodel a kitchen, in thousands of dollars, are given. Kitchen 27.2 18.4 23.8 22.9 20.7 24.0 21.7 17.9The population mean will always be the same as the mean of all possible X that can be computed from samles of size 24. True or false
- Suppose the mean and standard deviation of the GPAs at school are Xbar = 1.654; and s = -0.562Adam's GPA has a z-score of -1.460. What is Adam's GPA?(Leave your answer to 2 decimals: ex: 1.23)Suppose the mean of X is 94. What does the mean of X become if you multiply X by 1.22? (Use two decimal places, ex: 12.34)Myocardial blood flow (ml/min/g) was measured for a group of cyclists under normal oxygen levels after 5 minutes of bicycle exercise. The following is some R code and output using the "t.test" function. > t.test (normoxia, mu=3, alternative="less") One Sample t-test data: normoxia t = -2.5751, df = 9, p-value = 0.01497 alternative hypothesis: true mean is less than 3 95 percent confidence interval: -Inf 2.85968 sample estimates: mean of x 2.513 At the 0.05 significance level, identify the correct interpretation for the conclusion in the context of the setting for the hypothesis test done in the t.test output above (step 6 of a hypothesis test). O a. There is significant evidence to conclude Myocardial blood flow tends to be greater than 3 for cyclists after 5 minutes of bicycle exercise. Ob. There is significant evidence to conclude Myocardial blood flow tends to be less than 3 for cyclists after 5 minutes of bicycle exercise. Oc. There is significant evidence to conclude Myocardial…