If, in a sample of n = 25 selected from a normal population, X= 60 and S= 10, what is your statistical decision if the level of significance, a, is 0.01, the nullI hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ# 50? Click here to view page 1 of the table of the critical values of t Click here to view page 2 of the table of the critical values of t. -... Determine the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.)

My answer is as follows: T critical = 2.70 T value= 7.775 P< a (0.01) Therefore we reject the null. Is this correct?

ou wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ1=μ2Ha:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either, and you have no reason to believe the variances of the two populations are equal. You obtain a sample of size n1=18 with a mean of M1=81.6 and a standard deviation of SD1=8.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=88.9 and a standard deviation of SD2=5.8 from the second population. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α= 0.01. According to your sample, 36 out of 71 potential voters prefer the Democratic candidate. The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

Please sir or ma’am, please help me with hypothesis, critical region, and t statistic.

please and thank you

You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho:μι ≥ με Ha:μι < με You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size ni You obtain a sample of size n₂ = = 12 with a mean of M₁ 13 with a mean of M2 test statistic = p-value = = - 10.6. 53 and a standard deviation of SD1 59.5 and a standard deviation of SD₂ = 9.7. [three decimal accuracy] [three decimal accuracy] =

Question 7 > You wish to test the following claim (Ha) at a significance level of a = 0.05. H.: 41 Ha: µ1 7 42 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you have reason to believe that the variances of the two populations are equal. You obtain a sample of size nį = 14 with a mean of M1 first population. You obtain a sample of size n2 of SD2 = 7.4 from the second population. = 67.8 and a standard deviation of SD1 19 with a mean of M2 15.5 from the 61.7 and a standard deviation In the answer box below insert 2.0395 as the critical value for this test. (Report answer accurate to three decimal places.) critical value What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D The test statistic is... O in the critical region O not in the critical region