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Consider the following hypotheses: Ho: μ 12.6 HA: μ> 12.6 A sample of 25 observations yields a sample mean of 13.4. Assume that the sample is drawn from a normal population with a population standard deviation of 3.2. (You may find it useful to reference the appropriate table: z table or t table a-1. Find the p-value. p-value < 0.01 0.01 s p-value0.025 0.025 s 0.025 s p-value< 0.05 O.05 s p-value<0.10 。p-value 20.10a-2 what is the conclusion if a-0.10? OReject Ho since the p-value is greater than a OReject Ho since the p-value is smaller than a O Do not reject Ho since the p-value is greater than a. O Do not reject Ho since the pvalue is smaller than a. a-3. Interpret the results at a 0.10 We conclude that the sample mean is greater than 12.6 We cannot conclude that the sample mean is greater than 12.6. We conclude that the population mean is greater than 12.6 We cannot conclude that the population mean is greater than 12.6b-1. Calculate the p-value if the above sample mean was based on a sample of 100 observations. p-value < 0.01 0.01 s p-value 0.025 0.025 s p-value0.05 0.05 s p-value0.10 p-value 2 0.10 b-2, what is the conclusion if α = 0.10? Reject Ho since the p-value is greater than a Reject Ho since the p-value is smaller than a Do not reject Ho since the p-value is greater than a Do not reject Ho since the p-value is smaller than ab-3. Interpret the results at α-0.10 We conclude that the sample mean is greater than 12.6 We cannot conclude that the sample mean is greater than 12.6 We conclude that the population mean is greater than 12.6. We cannot conclude that the population mean is greater than 12.6

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Answer #1

For known sigma value we use z normal distribution

Z= (x-u)/( sigma /sqrt (n))

iven data ave population, mean, 12.6. population sd,3.2 Sam ple , n 25 Sample mean, X 13,4- Lrown ue use 2- distributio n Z13. 12.6 25 0-8 О.bua -) P-value 0.10 a-2) d0.10 Do not Rejict Mo Sinte P-valeret han d -3 uxe cannotconclude that the yo pulation meen s grestes than 12.6 given Sample, n=100 213.u -12.6 s 0,8 o 32 b-2 Reject Ho Since the P-value s (Be ss han bwe conclude hat he Population mean s neat than 12.6

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