Construct a 95% confidence interval of the population standard deviation for the thickness of a plastic film (in mm) on a substrate material at 52°C
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- The heights of students are normally distributed with mean 154 cm and standard deviation 26 cm. For a random sample of 41 students, find the standard error?Given random X ~ N(y,y), where y>0 and normal distribution N with mean = sd. a) find confident interal for y b) find confident level of [average,sum] from part a.A simple random sample of size n=14 is obtained from a population with μ=67 and σ=19. Assuming the normal model can be used, determine P(x<71.2) ?
- An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in × = 18.17 kgf/cm² for the modified mortar 42 be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal. = 0 versus H₂: M₁ M₂ > 0 at level 0.01. (m = 42) and y = 16.87 kgf/cm² for the unmodified mortar (n = 30). Let and M1 (a) Assuming that 0₁ = 1.6 and 0₂ 1.3, test Ho: M1 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) 42 Z = P-value = State the conclusion in the problem context. Reject Ho. The data suggests that the difference in average tension bond strengths exceeds 0. O Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds…34 X shows a normal distribution with mean µ=50 and variance σ^2=100. What standard z value does the value x=55 convert to? a) one B) 0.05 NS) 2,5 D) 0.5 TO) 2ndConsider a normal distribution curve where 60-th percentile is at 18 and the 45-th percentile is at 1. Use this information to find the mean, μ , and the standard deviation, σ , of the distribution. a) μ=b) σ=
- Determine the critical value and illustrate the rejection region under the normal curve by using the given information 1. Ha: p #0.52 a = 0.05 Critical Value: 2. Ha: p > 0.35 a = 0.01 Critical Value: 3. На: р < 0.70 a = 0.10 Critical Value:GPAS at CCSU are normally distributed with a mean of 2.01 and a standard deviation of 0.47. Find the z- score for a GPA of 2.32. 0.6596 1.809 00.8085 0.3404 1.638 0.8511Draw the standard normal curve that corresponds to an area between z = 0 and z = 2. Then, use the standard normal table to find the area under the curve between these two z-scores.
- Suppose x has a distribution with a mean of 90 and a standard deviation of 12. Tandom samples of size n=64 are drawn. Describe the x distribution and compute the mean and standard deviation of the distribution.Hemoglobin levels in 11-year-old boys vary according to a normal distribution with σ=1.2 g/dL. How large a sample is needed to estimate µ with 95% confidence so the margin of error is no greater than 0.5 g/dL?The adult body lengths of deer mice are known to vary approximately Normally, with mean µ = 86 mm and standard deviation o = 8 mm. A researcher uses a random sample of 1 deer mice. What is the probability that the mice's body length is less than 80 mm? (i) Does the random variable represent Хor x? (ii) Draw a Normal density curve. (Label the horizontal axis and shade the area that the question is asking.) (iii) Draw a standard Normal density curve. (Label the horizontal axis and shade the area that the question is asking.)