A sample with a fixed cost of 170000 Ł will be selected in a survey with a population budget of no more than 2000000 Ł. The cost is 3500 Ł for each sampling unit. What is the volume of the sample that can be created with this budget?
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
13 -
A) 873
B) 349
C) 523
D) 2500
E) 759
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- A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. Is it appropriate to use a two-sample t-interval for the difference in means to estimate the difference in hours of sleep for students at the two high schools? A. Yes, all the conditions for inference are met. B. No, the two samples are not independent samples. C. No, the sample sizes…Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?How many samples of size 5 can be chosen from a population of size 8?
- Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Model Cu. Ft. List Price Model 1 18.3 $899.99 Model 2 24.8 $1,799.99 Model 3with Thru-the-Door Ice and Water 25.4 $1,799.99 Model 4 19.3 $749.99 Model 5 17.3 $599.99 Model 6with Thru-the-Door Ice and Water 19.6 $1,619.99 Model 7 25.0 $999.99 Model 8 24.5 $1,299.99 Model 9with Thru-the-Door Ice and Water 25.4 $1,299.99 Model 10with Thru-the-Door Ice and Water 26.0 $1,299.99 Model 11with Thru-the-Door Ice and Water 25.6 $1,099.99 Model 12 18.0 $679.99 Model 13with Thru-the-Door Ice and Water 25.0 $2,199.99 Model 14 20.8 $849.99 Model 15 15.5 $549.99 Model 16with Thru-the-Door Ice and Water 28.2 $2,599.99 Model 17 27.8 $2,999.99 Model 18with Thru-the-Door Ice and Water 26.6 $2,399.99 Model 19with Thru-the-Door Ice and Water 22.6 $1,099.99 Model 20with…On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.38 9.08 11.7 6.4 12.32 14.43 15.46 10.02 14.4 16.08 17.5 19.08 17.88 12.75 16.7 17.25 15.54 14.7 18.81 17.89 14.8 18.32 15.95 26.75 22.22 22.66 20.88 23.35 18.95 23.6 19.16 23.65 27.7 26.95 27.04 26.89 24.58 37.76 26.41 38.91 29.36 41.55 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) What is the p-value for your hypothesis test in…On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.48 9.18 11.8 6.5 12.42 14.53 15.56 10.12 14.5 16.18 17.6 19.18 17.98 12.85 16.8 17.35 15.64 14.8 18.91 17.99 14.9 18.42 16.05 26.85 22.32 22.76 20.98 23.45 19.05 23.7 19.26 23.75 27.8 27.05 27.14 26.99 24.68 37.86 26.51 39.01 29.46 41.65 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) 3 What is the p-value for your hypothesis test in…
- On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities. 10.48 9.18 11.8 6.5 12.42 14.53 15.56 10.12 14.5 16.18 17.6 19.18 17.98 12.85 16.8 17.35 15.64 14.8 18.91 17.99 14.9 18.42 16.05 26.85 22.32 22.76 20.98 23.45 19.05 23.7 19.26 23.75 27.8 27.05 27.14 26.99 24.68 37.86 26.51 39.01 29.46 41.65 (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.) H0: Ha: (b) What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.) What is the p-value for your…A Statistics teacher wants to know if students exposed to the use of technology in the classroom got significantly higher scores in Statistics exam than those who are exposed to the traditional chalk and talk method. She took a sample of 30 students exposed to technology and recorded their Statistics exam scores: 95 88 81 98 81 80 83 80 91 80 75 83 88 85 81 85 83 86 89 88 90 89 88 85 87 86 66 85 65 95She then took a sample of 40 students who were taught using the traditional method 88 78 81 87 91 90 83 84 66 81 80 74 73 71 66 60 78 78 65 60 71 85 89 79 80 83 75 73 80 71 65 71 89 81 75 60 82 80 90 83 Help the teacher verify the hypothesis at α = 0.05.Yes No Total New England 27 13 Mid-Atlantic 29 11 Midwest 28 12 Great plains 33 7 South Atlantic 32 8 Deep South 33 7 Mountain 25 15 Pacific 17 23 Total 224 96 Use descriptive statistics to summarize the data from Fuentes’ study. Based on your descriptive statistics, what are your preliminary conclusions about the penetration of Fuentes’ Candied Bacon Potato Chips in grocery stores across its eight U.S. sales regions? Do the results of your hypothesis test provide evidence that Fuentes’ Candied Bacon Potato Chips have penetrated grocery stores across its eight U.S. sales regions? In which sales region(s) is penetration of Fuentes’ Candied Bacon Potato Chips lower or higher than expected? Use the Marascuilo pairwise comparison procedure at α=.05α=.05 to test for differences between regions.
- The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Time Number of Accidents Time Number of Accidents 8 up to 9 a.m. 10 1 up to 2 p.m. 11 9 up to 10 a.m. 9 2 up to 3 p.m. 12 10 up to 11 a.m. 12 3 up to 4 p.m. 7 11 up to 12 p.m. 6 4 up to 5 p.m. 11 Click here for the Excel Data File Using the goodness-of-fit test and the 0.10 level of significance, determine whether the accidents are evenly distributed throughout the day. H0: The accidents are evenly distributed throughout the day.H1: The accidents are not evenly distributed throughout the day. a. State the decision rule, using the 0.10 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 3 decimal places.) c. What is your decision regarding H0?A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for interaction. The data are shown below: SUMMARY LOW MEDIUM HIGH Total KOTA KINABALU Count 5 5 5 15 Sum 799 959 1020 2778 Average 159.8 191.8 204 185.2 Variance 1151.2 40.7 607.5 886.314286 SANDAKAN Count 5 5 5 15 Sum 1197 1333 1971 4501 Average 239.4 266.6 394.2 300.066667 Variance 5108.8 1918.8 8242.2 9241.92381 TAWAU Count 5 5 5 15 Sum 742 915 1068 2725 Average 148.4 183 213.6 181.666667 Variance 3394.8 10957.5 532.8 5012.95238 LAHAD DATU Count 5 5 5 15 Sum 670 651 806 2127 Average 134 130.2 161.2 141.8 Variance 1480 1181.7 1993.7 1534.31429 KENINGAU Count 5 5 5 15 Sum 98 205 237 540…The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188