MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You wish to test the following claim (HaHa) at a significance level of α=0.005.
Ho:μ=55.7
Ha:μ>55.7
You believe the population is
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
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- You wish to test the following claim (Ha) at a significance level of a = 0.01. Ho: H 63.6 На: и > 63.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 66.9 78.6 53.8 57.9 57 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =arrow_forward1. Depression scores (1-100) for young women (20-40 years old) are assumed to be normally distributed with a mean of 75.5 within the population. A sample of 26 women were recruited to have their depression scores recorded and the mean score was 82, with a standard deviation of 12. Researchers want to know if the sample data reflects a population with mean score of 75.5. Using a significance level of 0.01, answer the following questions. (a) What statistical test should the researchers conduct? Why? Explain your answer. (b) State the hypotheses for this scenario. (c) Conduct a hypothesis test based on question 1(a) to determine what the researcher should conclude from this study. Give your answer to two decimal places. (d) Suppose you obtained several random samples each with n = 100 women and each time you obtained their depression scores. Is it reasonable to assume that the sample means of these samples xx are approximately Normally distributed even though the population distribution…arrow_forwardYou wish to test the following claim (Ha) at a significance level of a = 0.002. Ha:µ < 78.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean = 70.4 and a standard deviation of s = 19.8. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. Oless than (or equal to) a Ogreater than a This p-value leads to a decision to. Oreject the null Oaccept the null Ofail to reject the nul As such, the final conclusion is that. OThere is sufficient evidence to warrant rejection of the claim tha: the population mean is less than 78.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.6. OThe sample data support the claim that the population mean is less than 78.6. OThere is not sufficient sample evidence to support the claim that the population mean is less than 78.6.arrow_forward
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