You are given the following information obtained from a random sample of 4 observations. 24 48 31 57 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.) (a) State the null and the alternative hypotheses. (Enter != for as needed.). Ho: H₂: (b) Determine the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49. O Reject Ho. There is insufficient eviden conclude the of the populat is different from 49. O Do not reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49. O Do not reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.

Solve second one

The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is Group of answer choices a.n1 + n2 - 2. b.the smaller of n1 - 1 or n2 - 1. c.n1 + n2 - 1. d.the larger of n1 - 1 or n2 - 1.

The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 1 3 62 82 69 46 73 53 53 89 61 39 60 45 50 76 57 96.67 156.67 106.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. O Ho: Not all the population means are equal. H3: H1 = H2 = H3 O Ho: Hq # Hz # H3 Ha: H1 = H2 = H3 O H: At least two of the population means are equal. H: At least two of the population means are different. O Ho: H1 = H2 = H3 H: Not all the population means are equal. O Ho: Hq = H2 = H3 Find the value of the test statistic. (Round your answer to two decimal places.) 6.03 Find the p-value. (Round your answer to three decimal places.) p-value = 0.022

You are testing the difference between high school freshmen and seniors on SAT performance. The null hypothesis is that the population mean SAT score of the seniors is equal to the population mean SAT score of the freshmen. You randomly sample 20 students in each grade and have them take the SAT. You find that the sample mean of the seniors is significantly higher than the sample mean of the freshmen. Which alternative hypothesis is accepted? The population mean SAT score of the seniors is less than the population mean SAT score of the freshmen. The population mean SAT score of the seniors is greater than the population mean SAT score of the freshmen. You cannot be sure which alternative hypothesis to accept. You just know that the null hypothesis was rejected

In each situation, find the value of the standardized statistic for the sample mean, and indicate whether the standardized statistic is a t-statistic or a z-statistic. (Round your answer for part (a) to three decimal places.) (a) x = 195, u= 190, s = 21, n = 4 standardized statistic = it's t because s is used instead of o v (b) x = 195,H= 190, o = 25, n = 4 standardized statistic = it's z because o is known (c) x = 168,H= 190, s = 22, n = 25 standardized statistic = : it's t because s is used instead of o

Hi could you answer whats blank?

Hi could you answer whats blank?

Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe =   Chi Square test statistic = ______ Group of answer choices