The following data are the numbers of cycles to failure of aluminum test coupons subjected epeated alternating stress at 21,000 psi, 18 cycles per second. I115 865 1015 885 1594 1000 1416 1501 1310 2130 845 1223 2023 1820 1560 1238 1540 1421 1674 375 1315 1940 1055 990 1502 1109 1016 2265 1269 1120 1764 1468 1258 1481 1102 1910 1260 910 1330 1512 1315 1567 1605 1018 1888 1730 1608 1750 1085 1883 706 1452 1782 1102 1535 1642 798 1203 2215 1890 1522 1578 1781 1020 1270 785 2100 1792 758 1750 Construct a stem-and-leaf display for these data. Does it appear likely that a coupon will survive" beyond 2000 cycles? Justify.
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- Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the 5-number summary. 129 132 135 140 141 145 148 151 154 157 159 159 161 164 165 170 173 173 175 182 The 5-number summary is nothing, nothing, nothing, nothing, and nothing, all in mBq. (Use ascending order. Type integers or decimals. Do not round.)Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. 7,255 6,875 9,637 6,863 9,098 5,846 8,954 7,979 7,068 7,498 7,882 8,179 7,528 8,728 7,469 Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a significance level of 0.10. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= P-value= State your conclusion. Reject H0. We have convincing evidence that the mean rate of…Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table. Peak Off-Peak 5.83 5.14 6.05 6.80 7.14 6.98 3.54 5.77 5.45 7.27 5.90 6.62 5.81 6.19 4.82 6.08 6.37 6.59 4.65 5.58 5.30 7.41 6.48 6.26 5.96 6.37 5.79 6.31 6.84 6.55 5.06 4.95 5.61 7.03 6.45 6.77 Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers. The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times. The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during…
- How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures, in degrees Celsius, and mean coral growth, in centimeters per year, over a several‑year period at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (b) Find the correlation ?r step by step. Round off to two decimals places in each step. First, find the mean and standard deviation of each variable. Then, find the six standardized values for each variable. Finally, use the formula for ?r . Round your answer to three decimal places.Analysis of several plant-food preparations for potassium ion yielded the following data:Periodically, the county Water Department tests the drinking water of homeowners for contaminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.44.4 0.6430.643 2.42.4 0.570.57 1.51.5 0.460.46 2.62.6 0.8950.895 5.95.9 0.20.2 3.43.4 0.540.54 3.83.8 0.2450.245 1.61.6 0.5830.583 5.75.7 0.7690.769 1.71.7 0.2150.215 (a) Construct a 9999% confidence interval for the mean lead level in water specimans of the subdevelopment. ≤μ≤≤μ≤ (b) Construct a 9999% confidence interval for the mean copper level in water specimans of the subdevelopment. ≤μ≤≤μ≤
- Periodically, the county Water Department tests the drinking water of homeowners for contminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (μμg/L) copper (mg/L) 4.44.4 0.4840.484 2.72.7 0.0760.076 5.35.3 0.5950.595 3.33.3 0.1280.128 5.55.5 0.4690.469 1.71.7 0.4060.406 0.40.4 0.8480.848 0.70.7 0.0220.022 44 0.860.86 2.82.8 0.4250.425 (a) Construct a 99% confidence interval for the mean lead level in water specimans of the subdevelopment. blank≤μ≤blank (b) Construct a 99% confidence interval for the mean copper level in water specimans of the subdevelopment. blank≤μ≤blankrofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…Just part d. Not a through c. The article “Study on the Life Distribution of Microdrills” (J. of Engr. Manufacture, 2002: 301–305) reported the following observations, listed in increasing order, on drill lifetime (number of holes that a drill machines before it breaks) when holes were drilled in a certain brass alloy. 11 14 20 23 31 36 39 44 47 5059 61 65 67 68 71 74 76 78 7981 84 85 89 91 93 96 99 101 104105 105 112 118 123 136 139 141 148 158161 168 184 206 248 263 289 322 388 513 a. Why can a frequency distribution not be based on the class intervals 0–50, 50–100, 100–150, and so on?b. Construct a frequency distribution and histogram of the data using class boundaries 0, 50, 100, … , and then comment on interesting characteristics.c. Construct a frequency distribution and histogram of the natural logarithms of the lifetime observations, and comment on interesting characteristics.d. What proportion of the lifetime observations in this sample are less than 100? What proportion…
- The following data represent the number of audience members per week at a theater in Paris during the last year. (The theater was closed for 2 weeks for refurbishment.)163 165 094 137 123 095 170 096 117 129152 138 147 119 166 125 148 180 152 149167 120 129 159 150 119 113 147 169 151116 150 110 110 143 090 134 145 156 165174 133 128 100 086 148 139 150 145 100Estimate the average weekly attendance with a 95% interval estimate.Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the 5-number summary. 126 127 130 134 135 137 140 142 144 145 147 147 148 151 152 155 157 157 159 164 Question content area bottom Part 1 The 5-number summary is enter your response here, enter your response here, enter your response here, enter your response here, and enter your response here, all in mBq. (Use ascending order. Type integers or decimals. Do not round.)A sample of average high temperature during July (x) of cities in Colorado compared to their elevation in feet (y) yields the following results: x 90 75 85 94 89 94 78 76 88 y 5280 9494 6035 4078 6191 4583 8000 8022 5807 Find y2