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 0.01 significance level for both parts. M₁: Hy H₂ OC. Ho: 1₁ #12 Hy: Hy

I need help solving part a and b of the following question attached.

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm 142 132 127 137 130 D Left arm 174 172 184 137 147 O A. Ho: Hd =0 B. Ho: Ha 0 H1: Hd =0 %3D OC. Ho: Hd = 0 H1: Hd 0 Identify the test statistic. (Round to two decimal places as needed.) t= Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test?

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.97.9 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 2424 samples is 8.18.1 ppm with a variance of 0.250.25. Does the data support the claim at the 0.10.1 level? Assume the population distribution is approximately normal. Step 3 of 5:  Specify if the test is one-tailed or two-tailed.

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 =

Given in the table are the BMI statistics for random samples of men and women. 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.     Male BMI Female BMI   μ μ1 μ2 n 41 41 x 28.3981 26.4624 s 7.246507 5.820596 a. Test the claim that males and females have the same mean body mass index​ (BMI).   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 ______.​(Round to two decimal places as​ needed.)   The​ P-value is _____.​(Round to three decimal places as​ needed.)     State the conclusion for the test.     A. Fail to reject the null…

I need the p value, please.

Need sub part B answered only

Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"

Calculate the test statistic (t) and p-value.