Find the 71-th percentile for the standard normal random variable Z. The 71-th percentile for Z is (Round the answer to 2 decimal places)
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- You decided to plant roses. The probability that a planted roses seedgerminates is 0.80. You plant nine seeds and let the binomial random variable X denotes the number ofroses seeds that successfully germinate. What is the average number of roses you could expect togerminate? What is the variance and standard deviation of X?Babies and younger boys are more likely to be diagnosed with peanut allergies. To test this claim a group of researchers tested the allergies among a group of boys and girls aged below 18 years. A total of 540 kids were selected randomly and asked to eat a small amount of peanut. Group n x Boys 280 120 Girls 260 90 Do boys have a higher chance to be diagnosed with a peanut allergy? Calculate the test statistic. Calculate p-value.In each situation, find the value of the t-statistic for the sample mean x and give the value of degrees of freedom (df). (a) x = 6, µ = 12, o = 24, n = 25 t = df = (b) x = 18, u = 12, o = 24, n = 25 t = df =
- In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. New machine: X1 bar = 40.12, s1 = 0.656, nl = 12 Old machine: X2 bar = 43.54, s2 = 0.760, n2 = 12 These are independent samples. Find the pooled variance?Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings, -6 centimeter-gram-second x 10 Magnetic (cmg x 10-6) Number of Estimated Susceptibility 0 5 and nq > 5 are both satisfied. Yes, it is appropriate since n 2 30. O Yes, it is appropriate since the criterian > 100 and np 5 and nq > 5 are not satisfied.Fourty six percent of the students in a class of 120 are planning to go to graduate school, Find the variance of this binomial distribution
- Find the mean and variance for the binomial distribution, Sample size (n) = 22 and P=0.28Pag 73°F Partly sunny A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in Texas and Indiana. Due to recent trends in the childcare industry, the firm suspects that the mean annual income of childcare workers in Texas is less than the mean annual income of childcare workers in Indiana. To see if this is true, the firm selected a random sample of 10 childcare workers from Texas and an independent random sample of 10 childcare workers from Indiana and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars Texas 35102, 40287, 32854, 29080, 36394, 22024, 22493, 31602, 27434, 40040 Indiana 38446, 33018, 38027, 43504, 37962, 33838, 35730, 36793, 37714, 25715 HD 144Hz Send data to calculator V The population standard deviation for the annual incomes of childcare workers in Texas and in Indiana are estimated as 6200 and 6500, respectively. It is also known that both populations are approximately…- Find the variance of the sample 3, 5, 7.
- What happens to the t-distribution as the sample size increases?Student Absences and Grades on the Final Exam Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: SHOW YOUR WORK Times Late/Absent Final Exam Grade 1 9 84.00 2 2 92.50 3 12 52.00 4 5 87.00 5 11 75.00 6 24 45.00 7 7 39.00 8 10 46.00 9 19 63.00 10 2 65.00 11 2 98.00 12 17 24.50 13 8 58.00 14 20 69.50 15 55 49.00 16 23 68.50 17 6 70.00 18 4 75.50 19 2 85.00 20 7 97.00 21 2 97.00 22 2 93.50 23 0 93.50 24 2…Español A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 80%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 240 high school seniors in his random sample, 185 believe that "getting rich" is an important goal. Can he conclude, at the 0.10 level of significance, that the proportion has indeed changed? Perform a two-tailed test. Then complete the parts below. SEE Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) 00 (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. O=0 OSO O20 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) O