Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? OA. Ho: H=2.6 miles H₁: μ#2.6 miles OC. Ho: 2.6 miles H₁: μ<2.6 miles OB. Ho: μ=2.6 miles H₁: μ> 2.6 miles OD. Ho: μ<2.6 miles H₁: μ = 2.6 miles
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- You are given information related to a hypothesis test. Write the null and alternative hypotheses and the most appropriate equation to use to conduct the test (you do not need to calculate it's value), and indicate which requirements for using it have or have not been met. A) In Castaway, Tom Hanks is stranded on an island with his volleyball friend, Wilson. AVP regulations state that a volleyball must be inflated to between 4.26 and 4.61 psi. A random sample of 64 volleyballs from the New England Volleyball Association (NEVA) were inflated to an average of 4.17 psi with a standard deviation of 0.29 psi. Test the claim that the standard deviation in the psi of the volleyballs used by NEVA is 0.33 psi. H: T = H : The equation CAN be used because the following condition(s) have been met: The equation CANNOT be used because the following condition(s) have not been met: B) A wildlife biologist studying jaguars in the jungles of the Amazon collects data from 134 jaguars she was able to…Calcium is an important mineral for optimal body functioning. The recommended intake for Calcium for adults is 1000 mg per day. A researcher is interested to determine if adults with income below the poverty level have less calcium intake than the recommended amount. A hypothesis test is conduced. What is the alternative hypothesis? A. Ha: μ = 1000 mg B. Ha: μ < 1000 mg C. Ha: μ > 1000 mg D. Ha: μ ≠ 1000 mgThe national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: x = 1500; HA: x > 1500 H0: μ = 1500; HA: μ > 1500
- b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A quality control engineer wishes to check this claim and measures the average thickness of a sample of 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance. Circle the correct null and alternative hypotheses. i) H : μ = 20 : Нo μ = 20 Η : μ 20 ii) What is the probability of making a Type I error? iii) Which test statistic will you use? Circle your answer. Ꮓ T iv) x² Calculate the value of the test statistic for the quality control engineer's sample. v) Determine the critical value of the test statistic. Do not round or truncate. vi) Determine the P-value. vii) What is the conclusion? Accept Ho Reject Ho Fail to reject Ho Circle your response. viii) Does the sample seem to indicate that the average thickness of their chewing gum is not 20mm? Circle your response. YES NO1. Identify the parameter and set up null and alternative hypotheses. A drug company says their brand of over the counter pain medicine contains on average 1.25 grams of acetaminophen in each tablet. A consumer wants to find evidence against the drug company's claim. 1. Identify the parameter: 2. Null hypothesis: 3. Alternative Hypothesis: а. b. Social scientists suspects the median age of women at the birth of the first child is more than 25 years. 1. Identify the parameter: 2. Null hypothesis 3. Alernative Hypothesis: c. A consumer advocacy group wants to prove there is no difference between regular unleaded and premium unleaded average gas mileage. 1. Identify the parameter: 2.Null hypothesis: 3.Alternative Hypothesis:You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect. (a) What type of hypothesis test will you use?
- Use the information given and the eight-step approach to test the hypotheses. Let a = .01. Họ : µ = 36 H :µ # 36 n = 63 x = 38.4 o = 5.93 a Appendix A Statistical Tables (Round your answer to 2 decimal places, e.g. 1.75.) The value of the test statistic is and wethe national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: x = 1500; HA: x > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: μ = 1500; HA: μ > 1500Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0:p=0.3versusH1:p>0.3n=100;x=45,α=0.1
- 14) part BGiven the following null and alternative hypotheses, conduct a hypothesis test using an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.) H0: µ1 ≤ µ2 HA: µ1 > µ2 The sample means for the two populations are shown as follows: sample mean 1 = 144, sample mean 2 = 129 population standard deviation 1 = 11, population standard deviation 2 = 16 sample size 1 = 40, sample size 2 = 50 Answer: Decision Rule : Reject H0 if Zcal > citical value Z = Test statistic: (Z calculated) Zcal = (use 4 decimal places)Conclusion: H0.A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 43.9 s = 5.3 n = 15 α = 0.05 H0: µ = 32.6 H1: µ ≠ 32.6 The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)