A species of leafcutter ant in southern Brazil (Acromyrmex aspersus) has been observed to carry cut pieces of leaf tissue with a mean area of 15.3 mm2. These cut pieces of leaves are used to cultivate a fungus in their underground colonies. Studying a single colony, a researcher measures 30 cut leaves with a mean area of 17.8 mm2 with a standard deviation of 6.5 mm2. Are the cut pieces this colony carries significantly different from other colonies?
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A: Note: Hi there! Thank you for posting the question. As your question have posted multiple questions,…
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Q: The manufacturer of the X-15 steel-belted redial truck tire claims that the mean mileage the tire…
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A: From the given information we find the solution.
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A: GivenMean(x)=5.39standard deviation(s)=0.77sample size(n)=40α=0.01
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Q: Following maintenance and calibration, an extrusion machine produces aluminum tubing with a mean…
A: Note: As per the guidelines, solving first three subparts. Kindly repost the question and specify…
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A: Solution-: Given: For Man: For Women: We find who is relatively taller, a 75 inch man or 70 inch…
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A: a) Denote μ as the mean number of calories professional cyclists burn is less than 6000.
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Q: A consumer organization tested two paper shredders, the Piranha and the Crocodile, designed for home…
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Q: The physical plant at the main campus of a large state university recieves daily requests to replace…
A: Given: μ=63σ=5
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Q: I would like the solutions for parts a-e
A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any…
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A: Given: According to the empirical rule, Therfore,
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A: Consider that p1, p2 is the true proportions of people who are contributing in previous fund-raising…
Q: In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation…
A: For man:mean(μ)=69.8standard deviation(σ)=3.0and X=75For woman:mean(μ)=64.3standard…
Q: An insurance company wants to know if the average speed at which men drive cars is greater than that…
A: Givenn1=27Mean(x1)=72s1=2.2n2=18x2=68s2=2.5α=1%
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- Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of µ = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the calculation (step 4) for this problem? Z = -2.34 z = 2.34 z = 2.24 z = -2.24Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of u = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the Decision (step 5) for this problem? There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 7.3 ppb. O There is sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. O There is…A regulation golf ball should weigh 45 grams. A company produces golf balls for the PGA. To help ensure a high degree of accuracy, a random sample of 23 golf balls is drawn from the production line every 30 minutes and each golf ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 45 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 23 golf balls was found to be 43.66 grams. Use the p-value method to test the hypothesis that the mean weight of a golf ball produced by this company is different than 45 grams, using a significance level of 0.5%. Assume that the distribution of weights of all golf balls produced by this company is known to be approximately normally distributed with a standard deviation of 5.4 grams. State the null and alternative hypothesis for this test. Ho: ? H₁: ? V Determine if this test is left-tailed, right-tailed, or two-tailed. Otwo-tailed Oright-tailed…
- Deer mice (Peromyscus maniculatus) are small rodents native of North America. Théir adult body lengths (excluding tail) are known to vary approximately Normally, with mean p= 86 millimeters (mm) and standard devlation a = 8 mm. A researcher uses a random sample of 14 deer micA regulation lacrosse ball should weigh 154 grams. A company produces lacrosse balls for the PLL. To help ensure a high degree of accuracy, a random sample of 20 lacrosse balls is drawn from the production line every 45 minutes and each lacrosse ball is measured for accuracy. If the average weight of the sample is found to be significantly different than 154 grams, then the production line is shut down for inspection. The mean weight of a recent sample of 20 lacrosse balls was found to be 167.98 grams. Use the p-value method to test the hypothesis that the mean weight of a lacrosse ball produced by this company is different than 154 grams, using α=0.02α=0.02. Assume that the distribution of weights of all lacrosse balls produced by this company is known to be approximately normally distributed with a standard deviation of 21.6 grams. State the null and alternative hypothesis for this test. H0= H1= Determine the test statistic for the hypothesis test. Round the solution to two decimal…Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 41 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.8 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 8 pb О Но: и> 8 рpb; Hi: и %3D 8 рpb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. What is the value of the sample test…
- The white wood material used for the roof of an ancient temple is imported from a certain country. The wooden roof must withstand as much as 100 centimeters of snow in the winter. Architects at a university conducted a study to estimate the mean bending strength of the white wood roof. A sample of 25 pieces of the imported wood were tested and yielded the statistics x= 72.7 and s = 11.4 on breaking strength (MPa). Estimate the true mean breaking strength of the white wood with a 99% confidence interval. Interpret the result. Find the 99% confidence interval for the true mean breaking strength of the white wood. (Round to two decimal places as needed.)Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of m= 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of xbar= 7.2 ppb arsenic, with s= 1.9 ppb. Does this info indicate that the mean level of arsenic in this well is less than 8ppb? Use a= 0.01. Show full detail.A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, u, of CEOS of major corporations is more than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 150 CEOS of major corporations. Suppose that the population of systolic blood pressures among CEOS of major corporations has a standard deviation of 16 mm Hg and that the researcher performs his hypothesis test using the 0.01 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.)
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, u, of CEOS of major corporations is more than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 100 CEOS of major corporations. Suppose that the population of systolic blood pressures among CEOS of major corporations has a standard deviation of 15 mm Hg and that the researcher performs his hypothesis test using the 0.1 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) Н : μ is What are the null and alternative hypotheses that the researcher should use for the test? Н : μ is Assuming that the…Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.0 ppb arsenic, with s = 2.3 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О но: и 3 8 рb; н,: и +8 ppb O Ho: H > 8 ppb; H: µ = 8 ppb O Ho: H = 8 ppb; H: µ > 8 ppb O Ho: H = 8 ppb; H,: µ < 8 ppb O Ho: H < 8 ppb; H,: µ = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is…The EPA recommends avoiding consumption of fish species if the mercury concentration is higher than 0.45 (ug mercury/g uncooked fish). The concentration in a large random sample of marlin was found to be 0.42 ug/g with a margin of error = 0.06 ug/g. Explain whether the EPA should consider marlin a species to avoid for consumption.