16. A batch of tablet is to be tested according to H0: μ =100 based on an estimated standard deviation of the batch as 20. A sample was randomly selected (16 tablets) w an average weight of 95 mg. We are 95% confident that the true mean of the batch is alue within this range 90-110 95-105 97-103 85-105 79-111
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- A test was made of Ho: u, = H, versus H,: µ, < µ,. The sample means were x, = 7 and 14, the sample standard deviations were s 5 and s, = 6, and the sample sizes 14 and n, 19. were nThe life of a butterfly is normally distributed with a mean of 50 days. You took a random sample of 25 such butterflies. The mean life for this sample is 47 days a standard deviation of 3 days. At α = 0.05. a. Test to see if the average life of a butterfly is different from 50 days. b. Your friend believes that the life of a butterfly is less than 50 days. Is she correct?2. 1 (your instructor) am 66" tall. Assume that the population mean for adult males is 70" with a standard deviation of 2.5". What is the percentile of my height for adult males
- Let X 1 , … , X n be identically and independently distributed with population mean 9.3 and standard deviation 1.400. Let xbar be the sample mean, xbar = 1 n ∑ i = 1 n X i. Suppose n = 14. What is the mean squared error (MSE) of 0.742*xbar as an estimator for the population mean?number 7 and 8 pls3.2.41 The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 253.3 and a standard deviation of 66.3. (All units are 1000 cells/ul.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 120.7 and 385.9? Question Help ▼ b. What is the approximate percentage of women with platelet counts between 187.0 and 319,6? a. Approximately % of women in this group have platelet counts within 2 standard deviations of the mean, or between 120.7 and 385.9. (Type an integer or a decimal. Do not round.) Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 1 part remaining MacBook Air %23 6. E R Q D M
- Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.64. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (1) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x=| S= (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.64? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ο Hg: μ= 4.64; H1: μ 4.64 Ο Ηρ: μ> 4.64; H1: μ = 4.64 Ho: u = 4.64; H1: u * 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O…The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation s = 0.4. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The sample mean of these 100 measurements is X = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 10? To answer this question, we perform the following hypothesis test: H0: u = 10, Ha: u < 10. What is the test statistic? (use two decimal places in your answer) What is the p-value equal to? At the 10% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECT t the 5% significance level, do you accept or reject the null hypothesis? Answer ACCEPT or REJECTA distribution with a mean of μ =41 and a standard deviation of σ = 4 is transformed into a standardized distribution with μ=100 and σ= 20. Find the new, standardized score for each of the following values from the original population. 1.Original X= 39. Transformed X=? 2.Original X=36 . Transformed X=? 3.Original X=45. Transformed X=? 4.Original X=50. Transformed X=?