tics To test Ho: u= 100 versus H,: u # 100, a simple random sample size of n= 25 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are - 2.492,2.492. (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? OA. O B. Oc. (d) Will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the test statistic is between the critical values. O B. There is not sufficient evidence fbr the researcher to reject the null hypothesis since the test statistic is not between the critical values. O C. The researcher will reject the null hypothesis since the test statistic is not between the critical values. O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.

You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n, = 30 X1 = 22.7 X2 = 20.1 s, = 2.3 2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x, - x,.) 2.72 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) 48 (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) 1.9 (d) What is the 95% confidence interval for the difference between the two population means? (Use x, - Round your answers to one decimal place.) .6 to 4.4

can you please provide explanations

A sample of 33 lights in Austin gives an average of 46 cars/min while the city SD=3.4 A sample of 34 Dallas lights give a mean of 44 cars/mim with the city SD=1.4 At the 91% level, do the towns differ? 1. Is the test (A-Left Tailed, B-Right Tailed, C-2-Tailed) (separate with comma if there are 2) 2. Critical Value 3. Test statistic 4. 3-decimal p-Value

Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.05 significance level for both parts.     Diet Regular   μ μ1 μ2 n 20 20 x 0.78646 lb 0.80233 lb s 0.00449 lb 0.00755 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.   What are the null and alternative​ hypotheses?     A. H0​: μ1=μ2 H1​: μ1≠μ2   B. H0​: μ1=μ2 H1​: μ1>μ2   C. H0​: μ1≠μ2 H1​: μ1<μ2   D. H0​: μ1=μ2 H1​: μ1<μ2 The test​ statistic, t, is   nothing. ​(Round to two decimal places as​ needed.) The​ P-value is…

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

Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.05 significance level for both parts.     Diet Regular   μ μ1 μ2 n 26 26 x 0.78073 lb 0.80038 lb s 0.00447 lb 0.00745 lb       Question content area bottom Part 1 a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.   What are the null and alternative​ hypotheses?     A. H0​: μ1=μ2 H1​: μ1>μ2   B. H0​: μ1=μ2 H1​: μ1<μ2 Your answer is correct.   C. H0​: μ1≠μ2 H1​: μ1<μ2   D. H0​: μ1=μ2 H1​: μ1≠μ2 Part 2 The test​ statistic, t, is…