Hypothesis Tests About A Population Mean11. The breaking strengths of ropes produced by a manufacturer have mean 1800 N and standarddeviation of 100 N. By a new technique in the manufacturing process it is claim that the breakingstrength can be increased. To test this claim, a sample of 50 ropes is tested and it is found that themean breaking strength is 1850 N. Can we support the claim at 0.01 level of significance ?

It is given that Sample size n = 50 Sample mean M = 1850 Population SD = 100 Level of significance =…

Answered: Can we support the claim at 0.01 level…

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 mean salary for a new teacher in your town is $51,000. You believe it is lower for new teachers in a neighboring town. State the null and alternative hypotheses.
Part b and c
The average American consumes 97 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 12 randomly selected college students and found that they averaged 79.1 liters of alcohol consumed per year with a standard deviation of 19 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? v = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =
What is the null and alternative hypotheses for the average weight of dogs is 15.6 pounds?
Use the pulse rates in beats per minute of a random sample of adult females listed in the data set that is available below to test the claim that the means is less than 74 b. p.m. Use a 0.10 significance level.
In a sample of 200 university professors, only 28 were woman. A newspaper claims that the proportion women professors in unis are less than 10%. Set up the hypothesis test for the newspapers claim and calculate the corresponding t-statistic rounded to 3.dp At 1% significance level th evidence does not refute the claim. True or false? Explain answer.
Does more than 60% of teenagers jog? A survey states, 63% of 45,574 of teenagers surveyed do jog. Use a test of hypothesis to test the validity of the claim. State your conclusion in the context of the problem. ( asssume significance levela = 0.01). Be sure to check the validity of the inferences prior to using the concept.
13.
Past studies have indicated that the percentage of smokers was estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2405 people and found that 799 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.a) Identify the null and alternative hypotheses?H0H0: H1H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the…
A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim. Hypothesis test results: Mean of variable | Ho H=2.6 HAH>2.6 Variable Sample Mean Length 2.75311 Std. Err. DF 0.274284 399 T-Stat 0.558217 P-value 0.2885 OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles. OB. Reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles. OC. Reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles OD. Fail to reject Ho. There is sufficient evidence to support…
The Woodcock-Johnson Cognitive Ability (WJCA) test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean WJCA score of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.

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