You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.10\).\[H_0: \mu = 56.7 \\H_a: \mu < 56.7\]You believe the population is normally distributed and you know the standard deviation is \(\sigma = 13.4\). You obtain a sample mean of \(M = 51.3\) for a sample of size \(n = 68\).**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 = \_\_\_\_The p-value is...- [ ] less than (or equal to) \(\alpha\)- [ ] greater than \(\alpha\)This test statistic leads to a decision to...- [ ] reject the null- [ ] accept the null- [ ] fail to reject the null

We have given that,Sample mean: Sample size: Population mean: Population standard deviation:…

Answered: You wish to test the following claim…

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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You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 73.7 HaiH + 73.7 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 54 mean: M = 65.8 standard deviation: SD = 20.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.7. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.7.
This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
The mean number of eggs per person eaten in the United States is 252 and the standard deviation is 68. Do college students eat more than the average? The 45 college students surveyed averaged 281 eggs per person. What can be concluded at the 0.05 level of significance? H0: = 252 Ha: _____________ 252 Test statistic: __________ p-Value =__________ Reject/Fail to reject H0?______________ Conclusion: There is____________ evidence to make the conclusion that the population mean number of eggs consumed college students per year is more than 252 eggs per student per year. p-Value Interpretation: If the mean number of eggs consumed per year for college students is equal to_________ and if another study was done with a new randomly selected group of 45 college students, then there is a ____________ percent chance that the average number of eggs consumed per year for this new sample would be greater than_____________ . Level of significance…
You wish to test the following claim (Ha) at a significance level of a = 0.005. H.: µ = 60.8 H.:u > 60.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 92.4 61.2 97.2 82.3 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 = The p-value is... less than (or equal to) a O greater than a This test statistic leads to a decision to... o reject the null o accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. The sample data support the claim that the population mean is greater than 60.8. There is…
You wish to test the following claim (HA) at a significance level of a = 0.002. H.:µ = 76.5 Ha: µ > 76.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 95.2 and a standard deviation of SD = 18.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 4.1099 V What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
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You wish to test the following claim (H.) at a significance level of a = 0.002. H.:µ = 79.2 Ha:µ > 79.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 125 with mean M = 83.5 and a standard deviation of SD = 13.4. 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 =
You wish to test the following daim (H.) at a significance level of a = 0.005. H.:µ = 83.8 Ha:µ < 83.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 71.4 and a standard deviation of SD = 17.1. 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 = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O There is not sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O The sample data support the daim that the population mean is less than…
You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 75.3 Ha:µ > 75.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 613 with mean ã = 76.3 and a standard deviation of s = 6.7. 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 The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null |accept the null |fail to reject the null As such, the final conclusion is that... | There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. |There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.3. The sample data support the claim that the population mean is greater…
You wish to test the following claim (H,) at a significance level of a = 0.01. H.:p=53.3 Ha:p > 53.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n 5 with mean M = 59.8 and a standard deviation of SD= 6.9. eranra What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (H.) at a significance level of a = 0.01. H,: µ = 70.8 Ha:p > 70.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 564 with mean M = 71.3 and a standard deviation of SD = 5.6. 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 = The p-value is... FEB W www esc F1 F2 F3 F4 F5 F6 00

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