Suppose you are conducting the following hypothesis test for a population mean at significance level alpha=0.01. Ho: μ – 60.1 HA:μ< 60.1 Your sample consists of 21 subjects, with a mean of 59:3 and standard deviation of 3.21. Calculate the test statistic, rounded to 2 decimal places. t= What is the P-Value? (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 = 0.05. Ho: μ = 76.3 Ha: μ#76.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 29 with mean M = 78.7 and a standard deviation of SD = 7.2. 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 a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:μ = 79.2 79.2 Ha: You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 25 with mean M = 75.4 and a standard deviation of SD = 8.7. 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... O 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... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.2. O The sample data support the claim that the population mean is…
- You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 74.9 H.:p 74.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 84 with mean M = 74 and a standard deviation of SD = 6.4. 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... O 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 nullYou wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ=59.9 Ha:μ>59.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=93n=93 with mean M=62.6M=62.6 and a standard deviation of SD=9.4SD=9.4.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 greater than 59.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.9. The sample data support the claim that the…You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: μ = 74.6 Ha: μ < 74.6 You 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 72.9 and a standard deviation of SD = 13.9. 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 = The p-value is... o less than (or equal to) a Ogreater than a This test statistic leads to a decision to... Oreject 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 less than 74.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 74.6. The sample data support the claim that the population mean is less than…
- 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 0.02. H,:p = 79.3 H: u > 79.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with mean M 105.5 and a standard deviation of SD= l6.5. %3D 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 p-value leads to a decision to... reject the null Oaccept the null fail to reject the null As such, the final conclusion is that... 5There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. | There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. The sample data support the claim that the population mean is greater than 79.3. There is not sufficient sample evidence to support the claim that the population mean is greater than 79.3.During an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
- You wish to test the following claim (H) at a significance level of a = 0.05. Ho: = 59.1 Ha:μ > 59.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 70 with mean M = 62.7 and a standard deviation of SD = 18.8. 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 59.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.1. The sample data support the claim that the population mean is greater than…Refer to the below table. Using an alpha = 0.05, test the claim that IQ scores are the same for children in three different blood lead level groups: low lead level, medium lead level, and high lead level). One-Way Analysis of Variance Summary Table for IQ Measurements for Children among Three Blood Lead Level Groups: Low Lead Level, Medium Lead Level, and High Lead Level. Source df SS MS F p Between-group (treatment) 2 469.1827 2677.864 2.30 0.104 Within-group (error) 118 203.6918 11745.05 Total 120You 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=22n=22 with mean M=76.5M=76.5 and a standard deviation of SD=14.6SD=14.6.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = IncorrectWhat is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = CorrectThe 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 less than 81.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 81.8. The sample data support the claim…