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- It has long been assumed that first year college students gain weight during their first semester. During the last year, some college students have lived on campus (OC) and some have gone to school remotely (RM). Do on campus students gain more weight than remote students? A random sample 77 OC students had a mean weight gain of x = 3.46 pounds. A random sample 93 RMs a mean weight of y = 2.35 pounds. It is recognized that the true standard deviation of OC weight gain is ?x = 3.16 pounds while it is recognized that the true standard deviation of RM weight gain is ?y = 2.07 pounds. The true (unknown) mean OC weight gain is ?x pounds, while the true (unknown) mean of RM weight gain is ?y pounds. Weights are known to be a normally distributed. In summary:WebAssign -→ xC OD Let x represent the number of mountain dimbers killed each year. The long term variance of x is approximately o= 136.2. Suppose that for the past 7 years, the vanance has been sE 110.6. Use a 1% level of significance to test the daim that the recent variance for number of mountain cimber deaths is less than 136.2., Find a 90% confidence interval for the population variance (a) What is the level of significance? State the null and alternate hypotheses. O Ho: a- 136.2; Hi o > 136.2 O Ho: - 136.2; Hạ o < 136.2 OHại o- 136.2; H o 136.2 O Hại a < 136.2; H o 136.2 (b) Find the value of the dhl-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution We assume a normal population distribution. We assume a binomial population distribution We assume a esponential population distribution We assume a uniform population distribution () Find or estimate the PyValue…One method for straightening wire prior to coiling it to make a 6. (Hypothesis Test, 2 spring is called "roller straightening". Suppose that a sample of 30 wires is selected and each is tested to determine tensile strength (N/mm²). The resulting sample mean and sample standard deviation are 2175 and 35, respectively. It is known that the mean tensile strength for spring made using spinner straightening is 2148 N/mm². (1) What is the random variable X in this problem? What does the mean µ of X represent? (2) What null hypothesis and alternative hypothesis should be tested in order to determine if the mean tensile strength for the roller method is better than the mean tensile strength for spinner method? (3) Is this one-tailed or two-tailed test? (4) What test statistic should be used to test the hypotheses? Is a normality assumption of the population necessary? Why? (5) At the significance level a = 0.05, compute the rejection region (RR). (6) Compute the value of your test statistic…
- For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 5. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 68% of males.The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as o = 0.8. (a) Use k = 0.5 and h =5, built a tabular CUSUM to quickly detect a shift of about lo in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started.High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. What proportion of healthy males has HDL exceeding 60?
- The weight of male babies less than 2 months old in the United States is normally distributed with mean 12.1 poundsand standard deviation 5.3. how are they working the problem to get 0.8224?a series of 20 samples of size 4 has been drawn from a project. the measure of interest has an average of 63.31 and the average range within the sample is 6. Estimate the standard deviation of the processThe lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of 17 days. What percentage of pregnancies last fewer than 314 days? P(x < 314 days) = P(z<
- From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 38 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)Range Rule of Thumb for Interpreting s The 20 brain volumes (cm3) from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of 1126.0 cm3 and a standard deviation of 124.9 cm3 . Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1440 cm3 be significantly high?