
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- State the null and alternative hypotheses
- Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model , i.e., “cut-off” critical values etc.
- Formulate the decision rule, i.e., include “one-tail ”left, or “one-tail” right, or “two-tail” determination etc.
- Determine the experimental outcome.
- Determine the conclusion, and answer the question(s) posed in the problem, if any.
- Are “krispy toasters” quicker than “No-burn toasters” at the 1% significance level, if the times it took to toast a slice of bread were as follows:
No-Burn: 60,55,70,65,80 seconds
Krispy: 70,65,65,60,60 seconds ?
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- Show supporting work for each section identify the null hypothesis & alternative hypothesis identify the critical value(s) identify the rejection region identify the standardized test statistic z=decide whether to reject or fail to reject the null hypothesisarrow_forwardHypothesis Test Requirements For all questions involving a hypothesis test, be sure to include all the required steps: 1. State the null (Ho) and alternative (H or HA) hypotheses and identify the claim. 2. Using the sample data, compute the test statistic. 3. Using the level of significance, calculate the critical value. 4. Compute the p-value. 5. Using the test statistic and critical, make a decision: Reject Ho or Fail to reject Ho. Using the p-value and level of significance, make a decision: Reject Ho or Fail to reject Ho. 6. Interpret the results in the context of the original problem. Decision: Reject Ho Decision: Fail to reject Ho Claim: "There is sufficient evidence to warrant rejection of the claim that (original claim)." "There is not sufficient evidence to warrant rejection of the claim that .... (original claim). Ho www Claim: "The sample data support the claim that ... (original claim)." "There is not sufficient sample evidence to support the claim that (original claim). Haarrow_forwardWhat type of hypothesis test should be performed? Ex: Left-tailed t-test, two-tailed t-test, two-tailed z-test, or right-tailed z-test P1 = Ex: 0.123 P2 = Ex: 0.123 P = Ex: 0.123 What is the test statistic? Ex: 0.12 P-value? Ex: 0.123 Does sufficient evidence exist to support the claim that the level of support differs between the two cities at the α=0.01 significance level? Ex: yes or noarrow_forward
- Use the one-proportion z-test to perform the specified hypothesis test. Use the critical-value approach. x= 345, n = 1000, Ho: p= 0.35, Hạ: p > 0.35, a= 0.01 A. z= - 0.33; critical value =2.575; do not reject Ho B. z=0.62; critical value = 2.33; do not reject Ho C. z= 0.62; critical value =2.575; reject Ho D. z= - 0.33; critical value = 2.33; do not reject Hoarrow_forwardState the null and alternative hypotheses Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model , i.e., “cut-off” critical values etc. Formulate the decision rule, i.e., include “one-tail ”left, or “one-tail” right, or “two-tail” determination etc. Determine the experimental outcome. Determine the conclusion, and answer the question(s) posed in the problem, if any. To test whether or not there is a difference between the mean grade point averages of male math majors and female math majors at a certain university, 2 random samples were gathered. For the 35 males we find that the sample mean is 3.1 with s=0.2. For the 20 females, the sample mean is 3.2 with s=0.15. Test at a 1% level of significance.arrow_forwardUse technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is u < 98.6°F. The sample size is n = 4 and the test statistic is t= - 1.762. P-value = (Round to three decimal places as needed.)arrow_forward
- State the null and alternative hypotheses Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model , i.e., “cut-off” critical values etc. Formulate the decision rule, i.e., include “one-tail ”left, or “one-tail” right, or “two-tail” determination etc. Determine the experimental outcome. Determine the conclusion, and answer the question(s) posed in the problem, if any. The average IQ of a group of researchers is quoted to be 260. Thinking that this figure is too large, a consulting firm tested a random sample of 8 researchers and found that the average IQ was 250 with s=8. Test at a level of significance of 1%.arrow_forwardQuesiton 43arrow_forwardFor each scenario below read the given null and alternative hypotheses statements as well as the initial decision about the null hypothesis. Post a conclusion about the claim in each test. (This means when you post your answer, you do not need to include any statement about the null hypothesis. Only the final conclusion is needed.) **Chart 1 is attached** 1 Winning team data were collected for teams in different spots. use a .05 level of significance to test the claim that home/visitor wins are independent of the sport. **Table 1 is attached** P-Value=0.762arrow_forward
- Movie Theater Attendance: The data shown are the movie admissions, in thousands, of people attending movie theaters over two different time periods. At α = 0.05, is there a difference in the means for the movie attendance for these time periods? Use the traditional method of hypothesis testing unless otherwise specified. State the hypotheses and identify the claim. Find the critical value. Compute the test value. Make the decision. Summarize the results. Return of the Jedi (1983) Harry Potter 5 (2007) 6207 10579 4412 4395 6424 6031 8126 6607 8423 5357 7456 2431 4171 2140 3829 1969 3756 1778 5074 2384 6833 2866 5189 2337arrow_forwardIdentify the claim and state Ho and H Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim. A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master’s degree is less than $70,000. In a random sample of 15 full-time workers ages 25 to 34 with a master’s degree, the mean amount of earnings is $66,231 and the standard deviation is $5945. At α = 0.05, is there enough evidence to support the agency’s claim? Assume the population is normally distributed.arrow_forward
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