A test of the breaking strength of two different types of cables was conducted using samples of n, = n, = 100 pieces ofeach type of cable.Cable ICable IIX, = 1,935X2 = 1,900s, = 39s, = 32Do the data provide sufficient evidence to indicate a difference in the mean breaking strength of the two cables? Usea = 0.05.State the null and alternative hypotheses.O Ho: (H1 – µ2) = 0 versus H: (H1 – H2) # 0Ho: (Hz- H2) # 0 versus H: (µ, - H2) = 0О но: (и, - и2) %3D 0 versus H,: (и, — и2) < оO Ho: (H1 – H2) = 0 versus H: (H, – H2) > 0Но: (и, - и2) 0Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONEfor the unused region.)test statisticZ =rejection regionz >z <ucion

Answered: A test of the breaking strength of two…

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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A company manufactures electrical components and today they are producing 220-ohm carbon film resistors. A sample of 8 resistors was taken from the production line and were tested. Below are the measured resistance of the 8 resistors. [220.8, 221.9, 223.2, 219.1, 222.8, 219.2, 219.4, 219.5] Consider the two-sided hypothesis test for the mean resistance: Ho : µ = 220 vs Hj : µ # 220 Calculate the test statistic for the observed data for this hypothesis test. Give your answer to 3 decimal places. Test statistic: to 3 d.p. What is your hypothesis decision given that the manufacturing company is happy with a 5% significance level of the test? Hypothesis Decision: (No answer given) You may use the following quantile values from the Student-t distribution: df 7 8 pt(0.900, df) 1.415 1.397 1.383 pt(0.950, df) 1.895 1.860 1.833 pt(0.975, df) 2.365 2.306 2.262
Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, s1 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal . The value of the test statistic is A) 3.6 B) 1.8 C) 0.45
The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).
Westjet claims that it's avearage time to fly to Toronto from Thunder Bay is 121 minutes. A random sample of 29 flights from Thunder Bay to Toronto were observed and yeilded a mean of 140 minutes. Assuming that o = 3.1 do we have enough evidence to show that the mean flight is more than 121 minutes? Use a = 0.1 and use our tables. Select the correct null and alternative hypotheses: OA. Ho: X= 140,HA: X 121 OF. Ho X = 140,H₁ : X > 140 OG. None of the above Select the type of distribution to be used in this question: OA. Z-distribution B. t-distribution OC. Chi-Square distribution OD. None of the above The rejection region for this test is: OA. (-∞, -1.28) OB. (1.96,∞) OC. (1.645, ∞) OD. (1.28, ∞) OE. (-∞, -1.96) OF. (-∞, -1.645) OG. (-∞, -1.96) U (1.96,∞) OH. (-∞, -1.28) U (1.28,00) OI. (-∞, -1.645) U (1.645, ∞) OJ. None of the above Test statistic = The conclusion for this test is: OA. Fail to Reject Ho OB. Reject Ho OC. Fail to Reject HA OD. Reject HA OE. None of the above
Consider the hypothesis statement to the right using a = 0.10 and the data to the right from two independent samples. a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p-value and interpret the result. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table X = 80 X2 = 72 o1 = 30 n1 = 55 02 = 17 n2 = 50 a) The test statistic is 1.70 (Round to two decimal places as needed) Determine the appropriate critical value(s). The critical value(s) is(are) (Round to two decimal places as needed Use a comma to separate answers as needed.)
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? 75 88 48 77 50 33 69 72 78 59 73 82 100 101 75 D S Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O A. Ho: μ= 60 seconds OB. Ho: 60 seconds H₁ μ 60 seconds H₁: #60 seconds Determine the test statistic. lete (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.05 significance level, and test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is . (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H1 H₂ O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have…
When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds and the standard deviation was 4.9 pounds. Use a 0.01 significance level to test the claim that the mean weight loss is greater than zero. D. Calculate the P-value E. State your decision about the hypotheses F Write a final, concluding statement that addresses the claim: There is _______________ Evidence to _________________ the claim that the mean weight loss is greater than 0 punds.
A sample tested the claim that heights of men and heights of women have difference variances, with s = 7.44592 cm for women and 7.12432 cm for men. The sample sizes are n₁ = 142 and n₂ = 159. When using the F test with these data, is it correct to reason that there is no need to check for normality because n₁ > 30 and n₂ > 30? Choose the correct answer below. O A. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. ⒸB. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. O C. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples (n, and no greater than 30). O D. No. There is no need to check for normality as long as n₁ ≥ 10 and n₂ ≥ 10.

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