Evaluate the followings: (a) P (z?) = 0.6950, (f) within 1.35 standard deviations from the mean (it means P (-1.35
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Evaluate the followings: (a) P (z<?)=0.0918 (b)Z.40 (c)P(1.44<z<2.33) (d) Z.99
(e) P (z>?) = 0.6950, (f) within 1.35 standard deviations from the mean (it means P (-1.35<Z<1.35)).
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- I have computed the statistics of both groups of students in a class, in which they are male and female students. How do you sort the data within each group to determine what proportion in each group is within one standard deviation of that group, and what is the sorted data look like base on the statistics? Are the proportions similar?A normal distribution has ? = 31 and ? = 4. (a) Find the z score corresponding to x = 27.(b) Find the z score corresponding to x = 41.(c) Find the raw score corresponding to z = −3.Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with sample standard deviation s = 2.7. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. H0: ? = 7.4; H1: ? ≠ 7.4H0: ? = 7.4; H1: ? < 7.4 H0: ? > 7.4; H1: ? = 7.4H0: ? = 7.4; H1: ? > 7.4H0: ? ≠ 7.4; H1: ? = 7.4 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and ? is unknown.The standard normal, since the sample size is large and ? is known.…
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- The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean ? = 130 and standard deviation ? = 14. (a) Calculate the z-scores for the male systolic blood pressures 125 and 135 millimeters. (Round your answers to two decimal places.) 125 mm z = 135 mm z = (b) If a male friend of yours said he thought his systolic blood pressure was 2.5 standard deviations below the mean, but that he believed his blood pressure was between 125 and 135 millimeters, what would you say to him? (Enter your numerical answer to the nearest whole number.) He is _______or because 2.5 standard deviations below the mean would give him a blood pressure reading of ________ millimeters, which is ________ the range of 125 to 135 millimeters.A Normal distribution has mean = 21 and standard deviation σ = 3.2. Find the z-score for the following observations: (a) 16 (b) 18.2 (c) 25.6The Weather Underground reported that the mean amount of summer rainfall forthe northeastern US is at least 11.52 inches. Ten cities in the northeast arerandomly selected and the mean rainfall amount is calculated to be 7.42 incheswith a standard deviation of 1.3 inches. At the α = 0.05 level, can it beconcluded that the mean rainfall was below the reported average?What if α = 0.01? Assume the amount of summer rainfall follows a normaldistribution.
- A randomly selected sample of n = 75 individuals over 65 years old takes a test of memorization skills. The sample mean is x = 53, and the standard deviation is s = 7.4. Give the numerical value of the standard error of the mean, s.e. (Round your answer to two decimal places.) s.e.(x) = You may need to use the appropriate table in the Appendix of Tables to answer this question.(A) A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.05 years, with sample standard deviation s = 0.86 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use ? = 0.01. i-What is the value of the sample test statistic? (Round your answer to three decimal places.) (B)A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 73 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents.Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) 72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 (i) What is the value of the…mean is 0.800mm and standard deviation is 0.078mm.
