**Hypothesis Testing on Soda Can Weights**Data on the weights (in pounds) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized below. 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.**Summary Table:**| | Diet | Regular ||-----------|---------|----------|| μ | μ₁ | μ₂ || n | 26 | 26 || x̄ | 0.79911 lb | 0.81326 lb || s | 0.00445 lb | 0.00759 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.** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 > \mu_2 \)- **B.** - \( H_0: \mu_1 = \mu_2 \) ✔ - \( H_1: \mu_1 < \mu_2 \)- **C.** - \( H_0: \mu_1 \neq \mu_2 \) - \( H_1: \mu_1 < \mu_2 \)- **D.** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 \neq \mu_2 \)The test statistic, t, is [ ](Round to two decimal places as needed.)

Answered: Regular Bata on the weights (Ib) of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the daily intake of an adult follows a uniform distribution from 40 to 65 micrograms. Suppose that 36 adults are randomly selected. What is the mean and standard deviation of the average intake for 36 adults. a. Mean= 52.5 stvdev = 1.2 b. Mean = 55 stvdev= 7.22c. Mean = 52.5 stvdev = 2.08 d. Mean= 52.5 stvdev = 7.22
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 distributedpopulations, 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. Diet Regular μ μ1 μ2 n 33 33 x 0.78488 lb 0.80356 lb s 0.00444 lb 0.00744 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. i) What are the null alternative hypothesis? ii) What's the test statics? iii) What's the P-value? iv) State the conclusion vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean vii) Does the confidence interval…
(5). Calculate SS, variance and standard deviation for the following sample of n=7 scores: 8, 6, 5, 2, 6, 3, 5.
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?
A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Sample statistics for a local bank and a competitor's bank Local Bank Competitor Bank Sample size n1 = 46 n2 = 50 Average waiting time in minutes for each sample X, = 2.3 mins. X2 = 2.6 Sample Standard Deviation of each Sample = 1.1 mins 1.0 mins. S1 S2 1. Are the samples dependent or independent? 2. State your Null/Alternative hypotheses 3. What is the test-statistic? 4. What is the p-value? 5. What are the critical values? 6. Does the test-statistic lie in the rejection region? 7. Interpret the Result? Does the result change for a different value of alpha? Explain?
Data on the weights (Ib) 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. Diet Regular H2 27 27 0.79037 lb 0.80399 lb 0.00449 lb 0.00756 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? O A. Ho: H1 = H2 OB. Ho: H1#H2 Hq: Hy
What are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2
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. 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? OA. Ho: H₁ H₂ H₁: Hy #4₂ OC, Hoi ky tuy H₁: Hy O L P H command n X S Time Remaining: 01:13:11 V : • Diet H₁ 30 0.79861 lb 0.00445 lb ; x { [ option ? I Regular H₂ 30 0.80936 lb 0.00742 lb Next delete
Data on the weights (Ib) 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 H2 nts 34 0.80711 lb 34 0.79119 lb 0.00432 lb 0.00747 lb 車 ent 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? bra O B. Ho H1 H2 Hq: Hy < H2 O A. Ho: H1 = H2 on! O D. Hg: H1 = H2 O C. Ho H 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. n oonr of diet soda have mean weights that are lower than the mean weight
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"
Find the variance and standard deviation
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