Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n2. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Ha: H1 # H2, a = 0.20, n, = 6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)

Samples of airline departure times are obtained and compared to the scheduled departure times. Six major airlines are compared and their mean delay times are recorded. Identify the null and alternative hypotheses for applying an analysis of variance. Choose the correct answer below. OA. Ho: H₁ H₂ H3 H4 H5 H6 H₂: At least two of the means are equal. O B. Ho: At least one of the means is different from the others. Ha: H1 H2 H3 H4 H5=H6 OC. Ho: At least two of the means are equal. Ha: H1 H₂ H3 H4 H5 H6 O D. Ho: H₁ Ha: H1 O E. Ho: H₁ Ha: H1 OF. Ho: H₁ H₂ H3 H4 H5=H6 H₂ H3 H4 H5 H6 H₂ H3 H4 H5 H6 H2 H3 H4 H5=H6 H₂ H3 H4 H5=H6 Ha: At least one of the means is different from the others.

Treatment Placebo 3. H1 H2 table. 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. A study was done using a treatment group and a placebo group. The results are shown in the 27 40 In 2.39 2.65 0.95 0.57 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 O B. Ho: H1H2 D. Ho: H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection…

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 28 28 x 0.79741 lb 0.81023 lb s 0.00442 lb 0.00749 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 nothing.…

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   mu mu 1 mu 2 n 26 26 x overbar 0.79093   lb 0.81234   lb s 0.00433   lb 0.00753   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. Upper H 0 ​: mu 1 equalsmu 2 Upper H 1 ​: mu 1 greater thanmu 2     B. Upper H 0 ​: mu 1 equalsmu 2 Upper H 1 ​: mu 1 less thanmu 2     C. Upper H 0…

A researcher takes sample temperatures in Fahrenheit of 16 days from Miami and 14 days from Atlanta. Use the sample data shown in the table. Test the claim that the mean temperature in Miami greater than the mean temperature in Atlanta. Use a significance level of α=0.10α=0.10.Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs.   Miami Atlanta 68.3 73.6 83.1 69.3 79.1 54.9 72 81.1 72.8 78.6 83.3 54 82.7 36.1 80.7 44.3 87 58.4 83.1 50.8 77.4 60.5 86.1 61.2 76.3 46.8 74.5 54.4 83.3   78.5     The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2            Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic =  p-value =  The p-value is     The correct…

A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72   116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =

Got stuck, and wasn’t sure what to do.

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs.   College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4             College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6     Construct a​ 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. ​(Note: x1=​3.1125, x2=​3.4385, s1=​0.4357 s2=0.5485