(d) State the conclusion in context of the problem.Theresufficient evidence at the a = 0.01 level of significance to conclude that the population mean is different from 26. A simple random sample of size n = 15 is drawn from a population that is normally distributed. The sample mean is found to be x = 23.9 and the sample standarddeviation is found to be s = 6.3. Determine if the population mean is different from 26 at the a = 0.01 level of significance. Complete parts (a) through (d) below.(a) Determine the null and alternative hypotheses.Ho:26H4:26(b) Calculate the P-value.P-value(Round to three decimal places as needed.)(c) State the conclusion for the test.O A. Reject Ho because the P-value is less than the a = 0.01 level of significance.B. Reject Ho because the P-value is greater than the a = 0.01 level of significance.O C. Do not reject Ho because the P-value is less than the a= 0.01 level of significance.O D. Do not reject H, because the P-value is greater than the a = 0.01 level of significance.

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Answered: mple random sample of size n = 15 is…

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 sample of 9 measurements, randomly selected from a normally distributed population, resulted in x= 2.6, and s= 0.9 Conduct a hypothesis test to verify the claim that the population mean is greater than 2.5 . Use a=.05
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From a random sample of 100 households in a local community, observed counts are shown in the table. The expected counts are from national data. Complete the table. (Enter: Calculated Chi Sq to three decimal places. (enter the critical Chi Sq exactly as in the tables) At alpha=5%, should the null hypothesis be rejected? Children per household 0 1 2 3 or more Observed 25 30 35 10 Expected 18 25 39 18 Calculated Chi Sq _____ Degrees of freedom _____ Tabulated Chi Sq _____ Reject? Y or N _____
Arandom sample of 450 observations produced a sample proportion equal to 0.38. Find the critical and observed values of z for the following test of hypotheses using alpha = 0.025 . H 0 :p=0.30 versus H 1 :p not equal to 0.30
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…
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