Jitter in a water power system. Refer to the Journal of Applied Physics investigation of throughput jitter in the opening switch of a prototype water power system, Exercise 6.102 (p. 348). Recall that low throughput jitter is critical to successful waterline technology. An analysis of conduction time for a sample of 18 trials of the prototype system yielded
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Statistics for Business and Economics (13th Edition)
- 7.94 JITTER IN A WATER POWER SYSTEM. Refer to the Journal of Applied Physics investigation of throughput jitter in the opening switch of a prototype water power system, Exercise 6.1020. Recall that low throughput jitter is critical to successful waterline technology. An analysis of conduction time for a sample of 18 trials of the prototype system yielded ī = 334.8 nanoseconds and s = 6.3 nanoseconds. (Conduction time is defined as the length of time required for the downstream current to equal 10% of the upstream current.) A system is considered to have low throughput jitter if the true conduction time standard deviation is less than 7 nanoseconds. Does the prototype system satisfy this requirement? Test using a = .01.arrow_forwardA random sample of 50 students was asked to estimate how much money they spent on textbooks in a year. The sample skewness of these amounts was found to be 0.83 and the sample kurtosis was 3.98. Test at the 10% level the null hypothesis that the population dis- tribution of amounts spent is normal.arrow_forwardJ 2arrow_forward
- 5.39 Deep mixing of soil. Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Swedish civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns in the journal Giorisk (Vol. 7, 2013). The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer mea- sures the cone tip resistance (megapascals, MPa). The re- searchers established that tip resistance for the deep mixed soil followed a normal distribution with μ = 2.2 MPa and σ = .9 MPa. a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa. b. Find the probability that the tip resistance will exceed 1.0 MPa. c. Find a value of tip resistance, T, such that 35% of all soil samples have tip resistance values that exceed T.arrow_forwardHow do I derive a beta parameter from this?arrow_forwardUsing specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing Ho: Po = Pc Ha: Po > Pc o where p and p represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5 % significance level. Effect of Organic Bananas After 25 Days After 25 days, the proportion of fruit flies eating organic bananas still alive is 0.44, while the proportion still alive eating conventional bananas is 0.41. The standard error for the difference in proportions is 0.032. What is the value of the test statistic? Round your answer to two decimal places. Z = i What is the p-value? Round your answer to three decimal places. p-value = iarrow_forward
- Maximum photosynthetic rates were measured in leaves from diploid (2N) and tetraploid (4N) tall fescue grass. Test the null hypothesis of no difference in the photosynthetic rates for diploids and tetraploids at the 5% level of significance. Photosynthetic Rate (μmol/m²/s) Tetraploids 24 21 25 26 23 Diploids 23 18 17 16 22 23 3) Which of the following pairs of values are the calculated vs critical values for this problem? a. calculated = -3.865; critical = 2.447 b. calculated = 3.865; critical = 2.571arrow_forwardCarbon dioxide is known to have a critical effect on microbiological growth. Small amounts of CO2 stimulate growth of some organisms, whereas high concentrations inhibit the growth of most. The latter effect is used commercially when perishable food products are stored. A study is conducted to investigate the effect of CO2 on the growth rate of pseudomonas fragi, a food-spoiling organism. Carbon dioxide is administered at five predetermined different atmospheric pressures. The response measured was the percentage change in cell mass after 1-hour growing time. Ten cultures were used at each atmospheric pressure level, resulting in the following data: 0.0 .083 .29 .50 .86 62.6 50.9 45.5 29.5 24.9 59.6 44.3 41.1 22.8 17.2 64.5 47.5 29.8 19.2 7.8 59.3 49.5 38.3 20.6 10.5 58.6 48.5 40.2 29.2 17.8 64.6 50.4 38.5 24.1 22.1 50.9 35.2 30.2 22.6 22.6 56.2 49.9 27.0 32.7 16.8 52.3…arrow_forwardA marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow. Hours Total Spent Studying Points Earned 45 40 30 35 90 75 60 65 105 90 65 50 90 90 80 80 55 45 75 65 (a) Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.)arrow_forward
- Part 2arrow_forwardThe article “Withdrawal Strength of Threaded Nails” (D. Rammer, S. Winistorfer, and D. Bender, Journal of Structural Engineering 2001:442–449) describes an experiment comparing the ultimate withdrawal strengths (in N/mm) for several types of nails. For an annularly threaded nail with shank diameter 3.76 mm driven into spruce-pine-fir lumber, the ultimate withdrawal strength was modeled as lognormal with μ = 3.82 and σ = 0.219. For a helically threaded nail under the same conditions, the strength was modeled as lognormal with μ = 3.47 and σ = 0.272. a) What is the mean withdrawal strength for annularly threaded nails? b) What is the mean withdrawal strength for helically threaded nails? c) For which type of nail is it more probable that the withdrawal strength will be greater than 50 N/mm? d) What is the probability that a helically threaded nail will have a greater withdrawal strength than the median for annularly threaded nails? e) An experiment is performed in which withdrawal…arrow_forward2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning