Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwisesmooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detectionthreshold for m = 5 normal subjects was 1.62 mm, and the sample standard deviation was 0.53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.36 and 0.85, respectively. Does this data suggestthat the true average gap detection threshold for CTS subjects exceeds that for normal subjects?USE SALTState and test the relevant hypotheses using a significance level of 0.01. (Use μ, for normal subjects and #₂ for CTS subjects.)о но н1-12=0Hải Hy M220о но: 1-12=0Hai H₁ - H₂ #0о но: 1-12=0Ha Hy - My 30ⒸH₁² H₁-H₂ = 0На: М1 - M2 <0Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)t=-1.8P-value = .051

The random sample of normal subjects, The sample mean, The sample standard deviation, The random…

Answered: smooth surface by probing with a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 6. Describe the effect on your confidence interval if you increase or decrease the samplesize
Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 4. Explain in detail what the 95% Confidence Interval for the mean HCT represents within this context.
Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m = 5 normal subjects was 1.62 mm, and the sample standard deviation was 0.53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.36 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? USE SALT State and test the relevant hypotheses using a significance level of 0.01. (Use μ₁ for normal subjects and 2 for CTS subjects.) 0 Но М1-М2=0 Hải My My 20 | Ho: M₁ M₂ = 0 на: H1 - H2#0 о но: 41-H2=0 Hải My M2 > 0 ⒸH₁ H₁ H₂ =…
Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). An article reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m - 8 normal subjects was 1.75 mm, and the sample standard deviation was 0.55; forn - 12 CTS subjects, the sample mean and sample standard deviation were 2.52 and 0.85, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? State and test the relevant hypotheses using a significance level of 0.01. (Use y, for normal subjects and for CTS subjects.) lo Hoi Uy M20 Hg: H₂H₂O | Ho: M₁ M₂ = 0 H₂H-Hy 20 ⒸH₂²A₁-M₂ = 0 Hải phim thay D |0 No: 111-112-0 H₂H₁-H₂0…
Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 3. Create a 95% confidence interval for the population mean HCT.
Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoidarthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 7. Describe a situation where a researcher would want to use a larger confidence level than 95% and a situation where a smaller confidence level would be preferred.
Patients with rheumatoid arthritis are at a greater risk of developing osteoporosis. The reasons are not well understood due to the difficulty in qualitatively assessing bone metabolism and mineral content. A researcher measures human calcitonin (HCT) levels in men with rheumatoid arthritis. The researcher randomly selects 43 men with rheumatoid arthritis and measured the mean HCT level of 33.8 pg/mL. Assume that HCT for individuals with rheumatoid arthritis follows a normal distribution with standard deviation σ = 23.6 pg/mL. 5. What is the effect on the interval width if we decreased or increase the confidence level to 90% or 99% respectively? (Hint, create the intervals)
Scoliosis is a condition involving curvature of the spine. In a study, 286 girls age 10 to 15 years, were followed to determine the effects of an underarm plastic brace (111 patients), nighttime surface electrical stimulation (46 patients) and observation only (129 patients). A treatment was deemed to have failed if the curvature of the spine increased by 6° on two successive examinations. The preceding table summarizes the results obtained by researchers. At the 1% significance level, does the data provide sufficient evidence to conclude that a difference in failure rate exists among the three types of treatments? Use the Chi-Square Homogeneity Test and interpret your result. Success Failure Total Brace 94 17 111 Stimulation 24 22 46 Observation 71 58 129 Total 189 97 286
The effectiveness of surgery for weight loss reported here found that "The surgery was associated with significantly greater weight loss [than the control group who dieted] through 2 years (61.3 versus 11.2 pounds, P<0.001)." What test could have been used and how would it have been computed?
Magnet Treatment of Pain Researchers conducted a study to determine whether magnets are effective in treating back pain, with results given below (based on data from “Bipolar Permanent Magnets for the Treatment of Chronic Lower Back Pain: A Pilot Study,” by Collacott, Zimmerman, White, and Rindone, Journal of the American Medical Association, Vol. 283, No. 10). The values represent measurements of pain using the visual analog scale. Use a 0.05 significance level to test the claim that those given a sham treatment (similar to a placebo) have pain reductions that vary more than the pain reductions for those treated with magnets.
A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down or getting worse. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis? Is the P-value area on the left, right, or on both sides of the mean? a. H1 : μ is less than 16.4 feet; the P-value area is on the right of the mean b. H1 : μ is not equal to 16.4 feet; the P-value area is on the right of the mean c. H1 : μ is not equal to 16.4 feet; the P-value area is on the left of the mean d. H1 : μ is greater than 16.4 feet; the P-value area is on the right of the mean e. H1 : μ is less than 16.4 feet; the P-value area is on the left of the mean
Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of u = 67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X= cm S= cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance? State the null and…

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