Fit a Gaussian distribution N( µz, o?) to the following data. This means that we want to model and represent the given data, in a probabilistic way, using a Gaussian distribution. Then, sketch the distribution. X = [ 0,0,0.1,0.5,0.9,0.2 ,0.1]
Q: Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took…
A: State the hypotheses. That is, there is no evidence that Gentle Ben has an overall average glucose…
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Q: Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took…
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- J 1Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. ..... (a) Find the t-value such that the area in the right tail is 0.025 with 11 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.01 with 24 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.005 with 28 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 70% confidence. Assume 29 degrees of freedom. (Round to three decimal places as needed.)A company wants to determine whether it's consumer product ratings (0-10) have changed from last year to this year. The table below shows the company's product ratings from 8 consumers for last year and this year. At a=0.05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed. Complete parts A-F.
- Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 1.8%. A random sample of 10 bank stocks gave the following yields (in percents).5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 I need help with sketching the distribution and (d) and (e)Find the value of k which make the following function a pdf (15 y - 2 sys0 64' 64 fW) ={ 3 + ky 0 < y< 3 8 elsewhere What is the P(-1 < Y S 2)? Find the cumulative distribution function of Y. Find the variance of Y.Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 95 86 82 105 97 112 86 89 The sample mean is x ≈ 94.0. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ= 12.5. The mean glucose level for horses should be μ= 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use ? = 0.05. (a) Compute the z value of the sample statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
- Find the 68th percentile(c) Calcculate d and sd (d) Find the standardized test statistic t.Using the unemployment data provided, investigate the association between the male unemployment rate in 2007 and 2010 for a sample of 52 countries. Complete parts (a) through (4). m Click the icon to view the data table. OC The plot of the residuals against x tends to cluster as x increases, which is a possible violation of the Linearity Conditon. The Normal probability plot indicates that the Normal Population Assumption is satisfied. OD. The plot of the residuals againat x shows no patten, which satisfes the conditions for linear regression. The Normal probability plot indicates that the Nomal Probability Assumption is violated. c) Test an appropriate hypothesis using a- 0,05 to determine it the association is signiftcant. Choose the corect nul and altemative hypotheses. OA Ha: 0 OB. Ho: lo " 0 HA P0 or l 0 O C. Ho Po-0 OD. Ho: la =P HA Po
- Let Xbe normally distributed with mean u=2.5 and standard deviation o = 1.8. [You may find it useful to reference the z table.] a. Find PX> 6.5). (Round your final answer to 4 decimal places.) P(X>6.5) b. Find A5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) b. Find P5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) d. Find x such that P(xs Xs 2.5) = 0.1255. (Negative value should be indicated by a minus sign. Round your final answer to 3 decimal places.)Q2: Let X and Y have a bivariate normal distribution with parameters 4, = Hz = 1, af = 16, a 25 and p = %3D 3. The value of P(-3 < X < 3|Y = -4) is A. 0.9162 B. 0.6915 O B C. 0.6077 CGentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took the following glucose readings from this horse (in mg/100 ml). 92 86 81 105 100 112 86 90 The sample mean is x ≈ 94.0. Let x be a random variable representing glucose readings taken from Gentle Ben. We may assume that x has a normal distribution, and we know from past experience that σ = 12.5. The mean glucose level for horses should be μ = 85 mg/100 ml.† Do these data indicate that Gentle Ben has an overall average glucose level higher than 85? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ > 85; H1: μ = 85; right-tailedH0: μ = 85; H1: μ < 85; left-tailed H0: μ = 85; H1: μ ≠ 85; two-tailedH0: μ = 85; H1: μ > 85; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal,…