A statistics student randomly selected 45 packets of sugar and weighed the contents of each packet, getting a mean of3.586 grams and a standard deviation of 0.194 grams. Test the claim that the weights of the sugar packets have a meanno longer equal to 3.5 grams, as indicated on the label. Let "alpha" be 0.10 to test this claim.What are the hypotheses to be tested?O A. Hg: µ 2 3.586%3DH: µ < 3.586O B. Ho: µ = 3.586H µ + 3.586Oc. Ho: H = 3.5H1: µ ± 3.5O D. Ho: H < 3.5H1: µ > 3.5QUESTION 6A statistics student randomly selected 45 packets of sugar and weighed the contents of each packet, getting a mean of3.586 grams and a standard deviation of 0.194 grams. Test the claim that the weights of the sugar packets have a meanSave All AChick Save and Submit to saue and submit. Click Save All Ansuers to save al answers.99+O Type here to search163010/05/17PrtScF12F11F9F10F8

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Answered: A statistics student randomly selected…

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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The testing times for a group of college students were normally distributed with a mean of u : 31 minutes and a standard deviation of o = 4.8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. H = 31 4.8 O = H-30 u-20 u - o μ+ 20 μ+3σ Used the Empirical Rule to complete the following statements: 68% of testing times were between minutes and minutes. 95% of testing times were between minutes and utes. 99.7% of testing times were between minutes and minutes. 50% of testing times were below minutes.
In order to test the claim that the mean drive speed (Km/hr) of adults in a known highway in a city is at most 75 Km/hr, a sample of 40 adult drivers was taken and resulted a sample mean of 85 Km/hr. If the population standard deviation is 35 Km/hr, perform the test with a level of significance a = 0.05 using the P-value approach. 1. The mull and alternative hypotheses are A. Ho : u 75 and H : u 75 D. Ho : 2 75 and H, : p< 75 2. Test statistic value = (approximate to two decimal places) D. 1.81 A. -1.81 B. 0.29 C. 0.29 3. P-value = A. 0.0702 (approximate to four decimal places) B. 0.1404 C. 0.9298 D. 0.0351 4. The decision of the test: A. Reject Ho, there is a strong evidence that the adults mean drive speed is less than 75 Km/hr. B. Do not reject Ho, there is no evidence that the adults mean drive speed is more than 75 Km/hr. C. Reject Ho, there is a strong evidence that the adults mean drive speed is more than 75 Km/hr. D. Do not reject Ho, there is a strong evidence that the adults…
Consider statistics on plasma levels for a random sample of nine 17 year old males and six 17 year old females. Test if two means different, µ1≠µ2, at 5%. Hint. Use a degrees of freedom of 5. Male Female Sample size 9 6 Sample mean 3.259 1.413 Sample standard deviation 0.4 0.22 a. At the 0.05 level of significance, the data provide sufficient evidence to conclude that average male plasma amount is not different from the average female plasma amount. b. At the 0.05 level of significance, the data provide insufficient evidence to conclude that average female plasma amount is equal to the average male plasma amount. c. At the 0.05 level of significance, the data provide sufficient evidence to conclude that average male plasma amount is different from the average female plasma amount. d. At the 0.05 level of significance, the data provide insufficient evidence to conclude that average male plasma amount is different from the average female plasma amount.
A recent publication states that the average closing cost for purchasing a new home is $8431. A real estate agent believes the average closing cost is more than $8431. She selects 10 new home purchases and finds that the average closing costs are $8458 with a standard deviation of $250. Help her decide if she is correct by testing her claim at a=0.01. The correct hypotheses would be: Ο Η: μ $8431 (claim) Ο Η : μ > $8431 HA:µ < $8431 (claim) Ο H: μ $8431 HA: µ + $8431 (claim) Since the level of significance is 0.01 the critical value is 2.821 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the average closing cost is more than $8431. There is not enough evidence to reject the claim that the average closing cost is more than $8431. O There is enough evidence to support the claim that the average closing cost is more…
A random sample of 100 observations from a population with standard deviation 39 yielded a sample mean of 107. Complete parts a throughc below. a. Test the null hypothesis that u = 100 against the alternative hypothesis that u > 100, using a =0.05. Interpret the results of the test. What is the value of the test statistic? (Round to two decimal places as needed.) z=
Use the following information to complete steps (a) through (d) below. A random sample of size n, = 31 results in a sample mean of 125.3 and a sample standard deviation of 8.5. An independent sample of size n, = 50 results in a sample mean of 131.8 and sample standard deviation of 7.3. Does this constitute sufficient evidence to conclude that the population means differ at the g = 0.05 level of significance? O A. Ahypothesis test regarding the difference of two means using a matched-pairs design. O B. Ahypothesis test regarding the difference between two population proportions from independent samples. O C. Ahypothesis test regarding two population standard deviations. D. Ahypothesis test regarding the difference of two means using Welch's approximate t. (b) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1 = H2; Hq:H1 > H2 O B. Ho: H1 Sp2; Hq: µ1# H2 c. Họ: H1 = H2; Hq: µ1 #µ2 O D. Ho: H1 =H2; H1: µ1 SH2 (c) Use technology to calculate the…
A researcher claims that the average wind speed in the desert is less than 18.3 kilometers per hour. A sample of 30 days has an average wind speed of 17 kilometers per hour. The standard deviation of the population is 2.8 kilometers per hour. At a = 0.05, is there enough evidence to reject the claim? a. If a hypothesis testing is to be undertaken, the z Test Value will be equal to:
Assume a significance level of α=0.1 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 15 bpm. The hypothesis test results in a P-value of 0.2402. a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below. A. Reject H0 because the P-value is greater than α. B. Fail to reject H0 because the P-value is greater than α. C. Reject H0 because the P-value is less than or equal to α. D. Fail to reject H0 because the P-value is less than or equal to α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The standard deviation of pulse rates of the group of adult males is less than or equal to 15 bpm. B. There is not sufficient evidence to support…
A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.02 pounds. At a = 0.06, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. OA. Ho: H>3.1 Ha: HS3.1 D. Ho: H=3.3 H₂:μ*3.3 OB. Ho: ≤3.3 H:H>3.3 OE. Ho: >3.3 Ha: 53.3 (b) Identify the standardized test statistic. z = (Round to two decimal places as needed.) OC. Ho: * 3.1 Ha: 3.1 OF. Ho: $3.1 H₂:μ>3.1
If the t-statistic for a single sample t-test is 1.58, what can you conclude? a. The test is significant at an alpha level of .05. b. The sample size of the test was at least 30. c. The sample mean was larger than the population mean. d. The population standard deviation was smaller than the difference between the sample mean and the population mean.
Lexus administered a Math Assessment test to a random sample of 50 graduating students. In this sample, the mean is 94 and standard deviation of 8. The population parameter are μ=88 and σ=15. Is the performance of the sample above average? Use α=0.05 and the p-value method.a. What is the p-value?0.00230.00460.0010none of theseb. The alternative hypothesis isμ≠88μ>88μ<88none of thesec. The null hypothesis isμ=88μ≥88μ≤88none of these d. Based on the result, the decision isReject the null hypothesisAccept the null hypothesisNo decisionNone of these
You wish to test the claim that μ>29 at a level of significance of 0.01.In a sample of size 99, you find the sample mean to be 3030.Assuming the population standard deviation is σ=2.14 and the values are normally distributed, compute the value of the test statistic and p-value. A. The test statistic is 0.47 and the p-value is 0.3192. B. The test statistic is 1.4 and the p-value is 0.9192 . C. The test statistic is −0.47and the p-value is 0.6808 . D. The test statistic is −1.4 and the p-value is 0.0808 . E. The test statistic is 1.4 and the p-value is 0.0808 .

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