(c) At the 1 percent level of significance (a = .01) does the sample contradict the manufacturer's claim?Decision Rule: Reject HOThe samplethe manufacturer's claim The mean potassium content of a popular sports drink is listed as 149 mg in a 32-oz bottle. Analysis of 22 bottles indicates a samplemean of 148.4 mg.(a) State the hypotheses for a two-tailed test of the claimed potassium content.a. He: = 149 mg vs. H₁: # 149 mgb. He:>149 mg149 mg vs. H₁:c. He: 2149 mg vs. H₁: <149 mgO aObO(b) Assuming a known standard deviation of 3 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to2 decimal places. A negative value should be indicated by a minus sign.)Test statistic

Given mean=mu=149, standard deviations σ=148.4, Sample mean x̄=148.4, level of significance ɑ=0.01…

Answered: mean of 148.4 mg. (a) State the…

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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One group of accounting students took a distance learning class, while another group took the same course in a traditional classroom. At α = .10, is there a significant difference in the mean scores listed below? Exam Scores for Accounting Students Statistic Distance Classroom Mean scores x⎯⎯1x¯1 = 9.0 x⎯⎯2x¯2 = 10.2 Sample std. dev. s1 = 2.1 s2 = 2.4 Number of students n1 = 19 n2 = 19 Assume μ1 is the mean score of distance learning and μ2 is the mean score of classroom learning. The appropriate hypotheses is H0: μ1 – μ2 = 0 vs. H1: μ1 – μ2 ≠ 0 (b) Specify the decision rule. (Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < _______. Or tcalc > ______________. (c) Find the test statistic tcalc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.) tcalc ______________
Test the hypothesis that the average content of containers of a particular lubricant is 10 L if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 liters. Use a 0.01 level of significance and assume the distribution of contents is normal.
The contents of 37 cans of Coke have a mean of x¯¯¯=12.15x¯=12.15. Assume the contents of cans of Coke have a normal distribution with standard deviation of σ=0.13.σ=0.13. Find the value of the test statistic zz for the claim that the population mean is μ=12.μ=12.The test statistic is
Let, X has a normal distribution with a mean of 60 and a standard deviation of 4. The z-value for x = 53 is?
In a test of Ho:= 90 against Ha: µ> 90, the sample data yielded the test statistic z = 2.17. Find and interpret the p-valte for the test. E Click the icon to view a table of standard normal values The p-value isp= (Round to three decimal places as needed.)
Test the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.
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The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39
Calculate the correct t-statistics based on the information below. X1 = 200 X2 = 198 n1 = 17 n2 = 17 s1 = 2.45 s2 = 2.35 Let us assume that two groups of students at Tarleton are being compared on their average weights. Do you think the groups are different in terms of weight (measured in pounds)?
Given a normal distribution with u = 30 and o = 6, find the normal curve area to the left of x = 22. %3D Express your answer in four decimal places.
Answer the exercise of the image. (In the other image are the final answers, this to verify the final answer).
The data given below are the weights for a sample of babies. Assume the population of birth weights is normally distributed with a mean of μ= 7.10 DATA: 6.88 6.00 8.19 7.44 7.06 5.06 8.38 7.44 8.31 6.38 What is the mean weight in our sample? What is the standard deviation of our sample? What is the z-score for the heaviest baby in the sample? Give both the X-value and the z-score. What is the z-score for the lightest baby in the sample? Give both the X-value and the z-score. Assuming the distribution of birth weights is normally distributed, what percent of the babies in this distribution weigh more than our heaviest baby?

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