The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions.32.1 30.8 31.5 30.4 31.0 31.9USE SALTHo: 30Hζί με 30The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed.(a) Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using a = 0.01.State the appropriate hypotheses.Ho: μ = 30Ha:30Ho:30Ha: μ = 30Ho: μ = 30H₂: > 30IVANCalculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)t =P-value =1 this forIQuran, Arabic & Islamic Studies Online | IQRA NetworkWhat can you conclude?O Reject the null hypothesis. There is not sufficient evidence to conclude that the true average stopping distance does exceed 30 ft.O Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average stopping distance does exceed 30 ft.Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average stopping distance does exceed 30 ft.Reject the null hypothesis. There is sufficient evidence to conclude that the true average stopping distance does exceed 30 ft.22(b) Determine the probability of a type II error when a = 0.01, o = 0.65, and the actual value of μ is 31 (use either statistical software or Table A.17). (Round your answer to three decimalplaces.)ß =(Round your power to three decimal places (b) Determine the probability of a type II error when a = 0.01, o = 0.65, and the actual value of μ is 31 (use either statistical software or Table A.17). (Round your answer to three decimalplaces.)B =Repeat this for μ = 32. (Round your answer to three decimal places.)B =(c) Repeat (b) using a = 0.80.Use μ = 31. (Round your answer to three decimal places.)B =Use μ = 32. (Round your answer to three decimal places.)B =Compare to the results of (b).We saw ß decrease when a increased.We saw ß increase when a increased.(d) What is the smallest sample size necessary to have a = 0.01 and 3 = 0.10 when u = 31 and = 0.65? (Round your answer to the nearest whole number.)X

The formula to calculate the sample mean is,The formula to calculate the standard deviation is,The…

The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions. 32.1 30.8 31.5 30.4 31.0 31.9 LAUSE SALT The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distr (a) Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using a = 0.01. State the appropriate hypotheses. Hoi A = 30 H: <30 Hoi A = 30 H₂:30 Ho: 30 H₂: H=30 O Ho: H=30 H₂:μ> 30 places)

The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions. 32.1 30.8 31.5 30.4 31.0 31.9 LAUSE SALT The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distr (a) Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using a = 0.01. State the appropriate hypotheses. Hoi A = 30 H: <30 Hoi A = 30 H₂:30 Ho: 30 H₂: H=30 O Ho: H=30 H₂:μ> 30 places)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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). 93 87 81 104 98 110 85 90 The sample mean is x ≈ 93.5. 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; left-tailedH0: μ = 85; H1: μ ≠ 85; two-tailed H0: μ = 85; H1: μ > 85; right-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 Student's t, since n…
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Answer part G