Consider the following hypothesis test. Ho: με 12 Ha: > 12 If a random sample of size 25 drawn from a normally distributed population provided a sample mean of 14 and a sample standard deviation of 6.19, what is the range for the p-value? Op-value > 0.200 O 0.025 p-value < 0.050 0.050 < p-value < 0.100 O 0.010 < p-value < 0.025 O 0.100 < p-value < 0.200
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A: Solution: Given information: n= 50 Sample size x =19.4 Sample mean σ=2 Population standard…
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A: Given,H0:μ=80.2Ha:μ<80.2n=50M=77.8SD=5.5degrees of freedom(df)=n-1df=50-1=49α=0.02
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A: Solution: Given data n = 50 Mean(X ) = 29.4 Standard deviation = 6 Level Of significance = 0.01
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Q: You wish to test the following claim (Ha) at a significance level of a = 0.01. Но: и — 57.7 На: и +…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
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A: GivenH0:μ=88.4Ha:μ≠88.4σ=12.9M=83.7n=51α=0.005
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Q: Consider the following hypothesis test: Ho: µ 25 A sample of 40 provided a sample mean of 26.4. The…
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- A company claims that the mean monthly salary for their managers is 11 thousand dollars. A sample of 49 managers has a mean monthly salary of 10.6 thousand dollars with a standard deviation of 1.3 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of α=0.10Your hypotheses are:Ho:μ=11,000Ha:μ<11,000(a) Find the test statistic, rounded to 4 decimal places.Test Statistic = (b) FInd the p-value, rounded to 4 decimal places.p-value =You wish to test the following claim (Ha) at a significance level of α=0.02 Ho:μ=57.8 Ha:μ≠57.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9with mean M=62.1 and a standard deviation of SD=11.6.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... less than (or equal to) αα greater than αα 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 not equal to 57.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.8. The sample data support the claim that the population mean is not equal…Consider the following hypothesis test: Ho: μ 25 Ha: μ > 25 A sample of 40 provided a sample mean of 26.4. The population standard deviation is 5. a. Compute the value of the test statistic (to 2 decimals) 1.77 b. What is the p-value (to 4 decimals)2 0.9599 C, At α-.01, what is your conclusion? p-value is greater than 0.01, do not reject d. What is the rejection rule using the critical value? Reject H o if z is greater than or equal to 2.33
- Consider the following hypothesis test: H0: mu >= 20 Halpha:mu < 20 A sample of 50 provided a sample mean of 19.4 . The population standard deviation is 2 . a. Compute the value of the test statistic (to 2 decimals). Enter negative value as negative number. b. What is the p-value (to 3 decimals)? c. Using alpha= 0.05, can it be concluded that the population mean is less than 20? d. Using , what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number. State the rejection rule: Reject if is - Select your answer -greater than or equal togreater thanless than or equal toless thanequal tonot equal toItem 5 the critical value. Using , can it be concluded that the population mean is less than ? - Select your answer -YesNoItem 6You wish to test the following claim (HaHa) at a significance level of α=0.01. Ho:μ=83.1 Ha:μ≠83.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=67.7and a standard deviation of SD=19.9.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 =Consider the following hypothesis test. H0: ? ≤ 25 Ha: ? > 25 A sample of 40 provided a sample mean of 26.7. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At ? = 0.01, state your conclusion. Reject H0. There is sufficient evidence to conclude that ? > 25.Reject H0. There is insufficient evidence to conclude that ? > 25. Do not reject H0. There is sufficient evidence to conclude that ? > 25.Do not reject H0. There is insufficient evidence to conclude that ? > 25. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic ≤test statistic ≥ State your conclusion. Reject H0. There is sufficient evidence to conclude that ? > 25.Reject H0. There is insufficient evidence to…
- A company claims that the mean monthly salary for their managers is 8 thousand dollars.A sample of 100 managers has a mean monthly salary of 7.5 thousand dollars with a standard deviation of 1.9 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of α=0.10α=0.10. Your hypotheses are:Ho:μ=8,000Ho:μ=8,000Ha:μ<8,000Ha:μ<8,000 (a) Find the test statistic, rounded to 4 decimal places.Test Statistic = (b) FInd the p-value, rounded to 4 decimal places.p-value =You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: p=61.8 Ha : μ < 61.8 You believe the population is normally distributed and you know the standard deviation is o = 13.8. You obtain a sample mean of M = 56.3 for a sample of size n = 43. 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 claim (Ha) at a significance level of α=0.002 Ho:μ=81.8 Ha:μ<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22 with mean M=76.5 and a standard deviation of SD=14.6What 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... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. C-The sample data support the claim that the population mean…
- You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=50.8 Ha:μ>50.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=7 with mean x=56.1 and a standard deviation of s=8.8What 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) αα greater than αα This p-value 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 50.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 50.8. The sample data support the claim that the population mean is greater than 50.8. There is not sufficient sample evidence to support the claim that the population mean is greater…You wish to test the following claim (HaHa) at a significance level of α=0.001. Ho: μ=52.8 Ha :μ≠52.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=34 with mean M=41.2 and a standard deviation of SD=17.4.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 = The p-value is... less than (or equal to) αα greater than αα 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 not equal to 52.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 52.8. The sample data support the claim that the population mean is…You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ=54.5 Ha:μ≠54.5You believe the population is normally distributed and you know the standard deviation is σ=18.1. You obtain a sample mean of M=62 for a sample of size n=21.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) αα greater than αα 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 not equal to 54.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 54.5. The sample data support the claim that the population mean is not equal to 54.5.…