Suppose X~ x²(6). Find P(X> 6.31). Round your answer to 2 decimals. P(X> 6.31) Suppose X~ x²(10). Find P(X < 5.414). Round your answer to 2 decimals. P(X<5.414) Suppose X~ x²(14). Find P(8.574 < X < 21.437). Round your answer to 2 decimals. P(8.574 < X < 21.437)
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- For example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Take student id S12042516 as an example. With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning. i ) Suggest the test that should be used and explain your reason. State the independent and dependent variables, underlying null and alternative hypotheses.Recent studies have shown that about 39.4% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 600 patients and find that 204 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.4%. Give a numerical value for each of the following. (a) the population proportion, p, of obese patients in the medical clinic p = (b) the proportion of obese patients, p̂, for the sample of 600 patients p̂ = (c) the standard error, s.e., of p̂ (Round your answer to four decimal places.) s.e.(p̂) = (d) the mean of the sampling distribution of p̂ (e) the standard deviation, s.d., of the sampling distribution of p̂ (Round your answer to four decimal places.)To determine the number of in a lake , a conservationist catches 450 trout's , tags them, and releases them. Later 88 are caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged in the second sample was the same as the proportion of tagged in the total population, estimate the number of in the lake.
- A farmer estimates that 4% of the 1,400 fruit trees on his farm will fail to produce fruit, with a margin of error of 2.5%. Based on this information, which statements are true? Select all that apply. Because 4% of the fruit trees will fail to produce fruit, the farmer should calculate 4% of 1,400. Then, he should subtract 2.5% of that number to find the low end of the range. He should also add 2.5% to that number to find the high end of the range trees that fail to produce fruit. Between 53 and 57 trees can be expected to fail to produce fruit. Because there is a margin of error of 2.5%, the farmer should calculate 2.5% of 1,400 to find the high end of the range of trees that fail to produce fruit. The lowest number of trees that fail to produce fruit is simply 0. Between 0 and 35 trees can be expected to fail to produce fruit. Because there is a margin of error of 2.5%, between 1.5% and 6.5%6.5% of the fruit trees will fail to produce fruit. The farmer should calculate 1.5%…Suppose the proportion of all college students who have used marijuana in the past 6 months is p = 0.40. In a class of 150 students that are representative of all college students, would it be unusual for the proportion who have used marijuana in the past 6 months to be less than 0.33?A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 84% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8686% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More than nothing%…
- The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrongA city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 99 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim atα= 0.05.Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 75%. A poll is commissioned, and 207 out of a random sample of 255 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance?Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. A. State the null hypothesis H0 and the alternative hypothesis H1 B. Would (Z) (t) (Chi-square) or (F) be the best statistic to use? C. Find the value of the test statistic. (Round to three or more decimal places.) D. Find the critical value. (Round to three or more decimal places.) E. Is…
- Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 65% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 65% . A poll is commissioned, and 194 out of a random sample of 270 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic.…Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 65%. A poll is commissioned, and 180 out of a random sample of 250 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. a.) State the null hypothesis H0 and the alternative hypothesis H1. b.) Determine the type of test statistic to use (Z, t (with t, degrees of freedom is needed), Chi-Square, or F). c.) Find the value of the test statistic. (Round to three or more decimal places.) d.) Find the p-value. (Round…Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?