The American Water Works Association reports that, The average household water usage is more than 10 gallons per day. However, in a pandemic like this, it is suspected that there is a change in household water consumption. A researcher conducted a survey and took samples of 12 household heads and asked about the use of the gallon water. The data obtained are as follows: 74, 8, 13, 17, 13, 15, 12, 13, 15, 16, 9, 7. If it is known that the data is
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- answer in frq format please and be destrciptivearrow_forwardAcid rain from the burning of fossil fuels has caused many of the lakes around the world to become acidic. The biology in these lakes often collapses because of the rapid and unfavorable changes in water chemistry. A lake is classified as nonacidic if it has a pH greater than 6. The following sample of pH levels obtained by the researchers for 15 lakes: 7.2, 7.3, 6.1, 6.9, 6.6, 7.3, 6.3, 5.5, 6.3, 6.5, 5.7, 6.9, 6.7, 7.9, 5.8. At the 5% significance level, do the data provide sufficient evidence to conclude that, on average, high mountain lakes in the Southern Alps are nonacidic? Set up the null and alternative hypothesis plus carry out the complete test using the critical value or P-value approacharrow_forwardAre America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data: Do these data indicate that the population mean percentage difference in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 1% level of significance. (A) Are the data statistically significant at level α? Will you reject or fail to reject the null hypothesis? Since the interval containing the P-values has values that are larger than the level of significance, the data are not statistically significant and so we fail to reject the null hypothesis. (a)Since the interval containing the P-values has values that are larger than the level of significance, the data…arrow_forward
- Please show all your work to receive full credits. The following are sample data provided by a moving company on the weights of six shipments, the distances they are moved, and the damage that that was incurred: Weight (1,000 pounds) Distance Damage (1,000 miles) (dollars) X1 X2 y 4.0 1.5 160 3.0 2.2 112 1.6 1.0 69 1.2 2.0 90 3.4 0.8 123 4.8 1.6 186 a) Fit an equation of the form y bo + b1 x1 + b2 x2 b) Use the equation obtained in part (a) to estimate the damage when a shipment weighting 2200 pounds is moved 1100 miles. Hint: Use the given equation to solve for bo, b1 and b2 and then put it back in y= bo + bị x1 + b2 X2 X2arrow_forwardPlease see below. Only given one attempt at this. People who sustain a concussion or a traumatic brain injury (TBI) are likely to experience sleep problems. Do these problems persist over time? Researchers recruited a sample of 31 patients who had their first TBI 18 months earlier and a control group of 42 otherwise similar individuals without prior TBIs. They compared sleep duration per 24 hours for the 2 groups. Which test is most appropriate for this scenario? A 2-sample test for means B 1-sample z-test for proportions C 2-sample test for proportions D matched-pairs E 1-sample t-test for meansarrow_forwardwhen you have means from two different samples, it is best to conduct a what test?arrow_forward
- Please scroll down to see the entire question. The quality control manager of an automobile parts factory would like to know whether there is a difference between the proportion of defective parts produced on different days of the work week. Random samples of 100 parts produced on each day of the week were selected, with the following results: Result: Mon Tues Wed Thurs Fri # of defective parts: 12 7 7 10 14 # of non-defective parts: 88 93 93 90 86 At 5% level of significance, is there evidence of a significant difference in the proportion of defective parts produced on the various days of the week (A ) Step-1: State the hypotheses ( H0 and H1 ), and identify the claim A. H0: Proportion of defective parts is not the same for the days of the week. H1: Proportion of defective parts is the same for all days of the week B. H0: Proportion of defective parts is dependent on the days of the week H1: Proportionof defective parts is…arrow_forwardAn experiment is conducted and the following data points were recorded relating time in hours and amount of a drug remaining in the bloostream: {(1, 10), (3, 9), (5, 7), (6, 5), (7, 3), (9, 1)}. How many miligrams of the drug remain in the bloodstream after 5 hours?arrow_forwardIn a population of 150 pea plants, there are 89 tall-purple plants, 25 short-purple plants, 28 tall-white plants, and 8 short-white plants. In order to test if the two traits are experiencing independent assortment researchers would perform a chi squared test. What is your calculated Chi Squared statistic? What is the corresponding P value?arrow_forward
- What is the value of SS for the following sample? 1,3,2,2?arrow_forwardMaryland, as the four U.S. cities with the highest percentage of millionaires (Kiplinger website). Consider a sample of data that show the following number of millionaires for samples of individuals from each of the four cities. Millionaire Cannot conclude Bridgeport, CT CA San Jose, CA Yes 42 36 No 458 264 a. What is the estimate of the percentage of millionaires in each of these cities (to 1 decimal)? 0.436 Use Table 3 of Appendix B to find the p-value. The p-value is greater than 0.10 What is your conclusion? City Washington, D.C. 35 365 Bridgeport, San Jose, Washington, Lexington Park, CT D.C. MD Lexington Park, 46 27.4 Percentage, % 36.5 b. Using a = 0.05 level of significance, test for the equality of the population proportion of millionaires for these four cities. What is the p-value? Compute the value of the x² test statistic (to 3 decimals). 36.5 MD 33 367 that there is a difference among the population proportion of millionaires for these four cities.arrow_forwardIn random samples of 900 men and 400 women it is found that 99 men and 36 women suffer from kidney stones. Is there statistical evidence that the proportion of male kidney stone sufferers is greater than the proportion of female kidney stone sufferers? Use 5% significant level.arrow_forward
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