The homogeneity of the chloride level in a water sample from a lake was tested by analyzing portions drawn from the top and from near the bottom of the lake, with the following results in ppm Cl: Тop Bottom 26.30 26.22 26.43 26.32 26.28 26.20
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- On the Navajo Reservation, a random sample of 222 permanent dwellings in the Fort Defiance region showed that 56 were traditional Navajo hogans. In the Indian Wells region, a random sample of 141 permanent dwellings showed that 17 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. Find a 90% confidence interval for p1 − p2. (Round your answer to three decimal places.) lower limit upper limitIn a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15 (based on data from the Environmental Protection Agency). Assuming that this sample is representative of the cars in use, construct a 95% confidence interval estimate of the mean amount of nitrogen-oxide emission for all cars.In the network of centers for minors in a certain region, it is necessary to check if for a certain group the average number of escape attempts by inmates is greater than 3, 20 minors are randomly selected, obtaining that the average number of attempts is 3.5 with a standard deviation of 2.7 For a confidence level of 99%, can it be considered that the average number of escape attempts is actually greater than the value initially proposed?
- On the Navajo Reservation, a random sample of 220 permanent dwellings in the Fort Defiance region showed that 66 were traditional Navajo hogans. In the Indian Wells region, a random sample of 153 permanent dwellings showed that 18 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 90% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit upper limitFrom a research survey, it was found that a random sample of 18 elementary graduates of an exclusive private school has a mean NEAT score of 90 with a standard deviation of 16, while a random sample of 24 elementary graduates of a public school showed a mean NEAT score of 85 with a standard deviation of 12. Is there a significant difference in the NEAT performance of these two groups of elementary graduates? a. Use the traditional method, and b. The P-value method c. Construct a 95% confidence interval for the difference in mean.On the Navajo Reservation, a random sample of 230 permanent dwellings in the Fort Defiance region showed that 68 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 21 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 95% confidence interval for p1 − p2. (Round your answer to three decimal places.) lower limit upper limit (b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 − p2 in this context. Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion…
- A coin-operated soda machine was designed to discharge, on the average, 7 ounces of beverage per cup. To test the machine, a random sample of 15 cupfuls of soda was drawn from the machine and measured. The results were as follows: 6.957.006.996.926.886.987.027.006.997.107.016.967.047.007.05 Assuming that the amount of beverage dispensed is normally distributed, compute a 99% confidence interval estimate for µ=mean amount of soda dispensed (in ounces).In a sample of 7 cars, each car was tested for nitrogen-oxide emissions and the following results were obtained: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15. Assuming that the sample is representative of all cars in use and that they are normally distributed, construct a 98% confidence interval estimate for the mean amount of nitrogen-oxide emission for all cars.A plant manager has collected productivity data for a sample of workers, intending to see whether there is a difference in the number of units they produce on Monday versus Thursday. The results (units produced) are in data file XR11051.xls. Using the 0.01 level of significance, evaluate the null hypothesis that there is no difference in worker productivity between the two days. Identify and interpret the p-value for the test, then construct and interpret the 99% confidence interval for the mean difference in productivity between the days. We have a data referring the number of units workers produce on Monday and Thursday. worker Monday Thursday 1 49 46 2 56 59 3 63 65 4 52 57 5 47 45 6 67 71 7 71 70 8 45 49 9 42 43
- In a survey of 500 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. (a) Assuming that it is reasonable to regard this sample of 500 potential jurors as representative of potential jurors in the United States, use the given information to construct a 95% confidence interval for the true proportion of potential jurors who regularly watch at least one crime-scene investigation series. (Give the answer to three decimal places.)( , )A survey of an urban university (population of 35,540) showed that 840 of 1,300 students sampled supported a fee increase to fund improvements to the student recreation center. Reference: Ref 2 Using the 95% level of confidence, what is the confidence interval for the proportion of students supporting the fee increase? Group of answer choices [0.767, 0.815] [0.612, 0.580] [0.771, 0.811] [0.620, 0.672]An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (b) Given the method used by the environmental science teacher to collect the responses, explain how bias might have been introduced and describe how the bias might affect the point estimate of the proportion of all students at the school who would respond yes to the question.