The guaranteed average life of a certain type of electric bulbs is 1500 hrs with a S.D of 120 hrs. It is decided to sample the output so as to ensure that 95% of bulbs do not fall short of the guaranteed average by more than 2%. What will be the minimum sample size.
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- Apply the Slovin’s formula to calculate the minimum sample size for a population of 3,658 when e = 0.10.The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.8.3 What is the appropriate procedure to test for a significant difference in means between the two groups?,8.4 Implement the procedure in Problem 8.3 using the critical-value method.,8.5 What is the p-value corresponding to your answer to Problem 8.4?The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.*8.7 Suppose an equal number of 12- to 14-year-old girlsbelow and above the poverty level are recruited to studydifferences in calcium intake. How many girls should berecruited to have an 80% chance of detecting a significantdifference using a two-sided test with α = .05?
- Given a 95% C.I. = (34.14 mm, 36.02 mm) for a sample of Wooly Bear caterpillar lengths (preceding problem), address the following. Based upon the above information, I am _____ % confident that the 95% C.I. contains the sample mean.a) A C-chart is to be constructed for the count of surface defects in 2000 square meters of 40-kg Kraft paper. If 55 lots had a total of 550 defects. Determine the trial central line and control limits.b) An (np) chart is to be established on a painting process that is in statistical control. If 60 pieces are to be inspected every 3 hours and the fraction non-conforming is 0.06, determine the central line and control limits5. The pulse rates of 179 randomly selected adult males vary from a low of 44 bpm to a high of 108 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 90% confidence that the sample mean is within 3 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate σ. n=? b. Assume that σ=10.6 bpm, based on the value s=10.6 bpm from the sample of 179 male pulse rates. n=? c.
- (6.15)- Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. A-What is the best point estimate of the percentage of males among patients discharged from Pennsylvania hospitals?B-What is the standard error of the estimate obtained in Problem A?C-Provide a 95% CI for the percentage of males among patients discharged from Pennsylvania hospitalsFurther to the information provided in the question above, we are informed that nails produced thatare shorter than the minimum acceptable length have to be scrapped. Consider that 4.8cm is still theminimum threshold for acceptable nail length. If the cost to produce one nail is 45 cents, how muchdoes the company incur in Rand losses due to scrapping?The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76. A.What is the appropriate procedure to test for a significant difference in means between the two groups?B. Implement the procedure in Problem 8.3 using theD.critical-value method.C. What is the p-value corresponding to your answer toProblem 8.4? Compute a 95% CI for the difference in meansbetween the two groups.
- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?6.9 The study of concentrations of atmospheric trace metals in isolated areas of the world has received considerable attention because of the concern that humans might somehow alter the climate of the earth by changing the amount and distribution of trace metals in the atmos- phere. Consider a study at the South Pole, where, over a 2-month period, seventy air samples were obtained. In thirty-five of the samples, the amount of magnesium was determined. In the remaining thirty-five samples, the amount of europium was determined. Sample Size Sample Mean Sample Standard Deviation Magnesium 35 1.0 2.21 Europium 35 17.0 12.65 a. What are the populations of interest in this study? b. Is there significant evidence of a difference in the mean magnesium and Europium levels? Use a 5 .05. c. What is the level of significance of your test? d. Estimate the mean levels of…In a certain suburb of Montréal, residents have expressed their worries about the quality of the air. Of particular concern is the concentration (in μg/m3) of particulate matter smaller than 2.5 μm in size (PM2.5). The environmental standard is a PM2.5 concentration of 15 μg/m3 or less. 9-a) To conduct this study, Thomas installs 25 PM2.5 detectors at different locations in the suburban area. Each detector will provide one reading of PM2.5 concentration at a given time. With 25 detectors, what is the probability that Thomas declares the sample mean of PM2.5 concentrations significantly greater than the environmental standard while the population mean is 16 μg/m3? The population variance is assumed to be known and equal to 9. Use α = 0.01. 9-b) Thomas is interested to purchase a new and cheaper instrument to measure PM2.5 concentration. He is worried, however, that the precision of the new instrument may be lower than that of the current one. To be acceptable, the standard…