Consider the following hypothesis test:A sample of 75 is used and the population standard deviation is 10. Compute the p-value and stateyour conclusion for each of the following sample results. Use a = 0.01. Round z value to twodecimal places and p-value to four decimal places. Enter negative values as negative numbers.a. T = 23z valuep-valueconclusion do not rejectb. = 25.1z valuep-valueconclusion reject= 20C. Tz valuep-valueXXconclusion do not reject++Ho : μ = 22Ha:μ #22+НоНоНо

We have given that The null and alternative hypothesis are H0 : µ = 22H1: µ ≠ 22 Population mean (µ)…

Answered: Consider the following hypothesis test:…

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 random sample of 64 students was asked to respond on a scale from one (strongly disagree) to seven (strongly agree) to the proposition: "Cellphone helps raise our standard of living." The sample mean response was 4.60 and the sample standard deviation was 1.6. Find the minimum significance level at which we can show that the true mean is greater than 4. 1 =-T.INV(0.05,63) 2 =T.DIST(3,63) 3 =T.INV.2T(0.10,63) 4 =T.DIST.RT(2,63) 5 =T.DIST.RT(3,63)
Test the claim about the population mean, p, at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; o = 3.16. Sample statistics: x = 29.5, n = 66 Identify the null and alternative hypotheses. Choose the correct answer below. O B. H,: H= 30 Ha:u> 30 O A. Ho: H 30 Ha: u= 30 O E. Ho: H= 30 O F. Ho:H=30 Ha: H<30 Hi µ#30 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are t Determine the outcome and conclusion of the test. Choose the correct answer below.
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
Use the five steps in hypothesis testing. 1. Agriculture: Ground Water Unfortunately, arsenic occurs naturally in some ground water (Reference: UnionCarbide Technical Report K/UR-1. A mean arsenic level of parts per billion (ppb) is considered safe foragricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. Arandom sample of 37 tests gave a sample mean x̄ = 7.2 ppb arsenic, with s= 1.9 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a= 0.01
65 homeless people in San Jose were asked their age. The sample mean age was 33.2 years. Let x be a random variable representing ages of homeless people in San Jose. Assume that x has a normal distribution and o = 7.3 years. Do the data indicate that the mean age of the population of homeless people in San Jose is less than 35 years old? Use a = 0.05. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypotheses H, for the problem. 2. Identify the sample statistic, test statistic, p-value and calculator key used: Sample Statistic (sample mean) (Stated in problem) = Test Statistic (z) (Round to two decimal places) %3D P-value: (Round to four decimal places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject the null hypothesis. significance level = Do you reject or fail to reject Ho ? 4. State your conclusion. Upload your answer. Remember you can only upload one document. Upload Choose a File
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Question Help Y 12.2.79 The number of successes and the sample size for a simple random sample from a population are given below. x = 8, n = 40, Ho:p=0.4, H2: p< 0.4, a = 0.01 a. Determine the sample proportion. b. Decide whether using the one-proportion z-test is appropriate. c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test. Click here to view a table of areas under the standard normal curve for negative values of z. Click here to view a table of areas under the standard normal curve for positive values of z. c. Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. z= - 2.58 (Round to two decimal places as needed.) B. The one-proportion z-test is not appropriate. Identify the critical value(s), if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. ±Za/2 (Round to two decimal places as…
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 -
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Read each situation and perform the appropriate test of hypothesis for the one sample mean z-test and t-test. 2. A manufacturer claims that their car batteries have a mean life expectancy of 6 years with a population standard deviation of 1.75 years. In order to test its own claim, a random sample of 35 batteries were tested and it was found out their mean life span is 5. 5 years. Is there evidence at the 0.01 level of significance that the batteries become exhausted in less than 6 years?
Solve and show work.
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…

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