QuestionTS In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen 5 A 9.65 13.46 7.74 9.44 10.64 13.23 OH-OH-0018 OH, OH₂H0 State the null and alternate hypotheses. ⒸH₂-OHO B 9.66 13.44 OHQ H₂O 7.72 9.42 10.59 13.22

In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen 1 10.16 10.17 10.88 10.87 10.49 10.48 5.29 5.28 8.25 8.26 7.58 7.54 State the null and alternate hypotheses. 234 56

Find the standardized test statistic t for a sample with n = 10,  xbar= 12.7, s = 1.3, and α = 0.05 if H0: μ ≥ 13.6. Round your answer to three decimal place

Let n₁ = 50, X₁ = 40, n₂ = 50, and X₂ = 20. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: ₁2π₂ H₁: π₁ π₂ C. Ho: π₁ #1₂ H1: П1 =П2 Calculate the test statistic, ZSTAT, based on the difference P₁ - P2. The test statistic, ZSTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. O D. Ho: ₁ = π₂ H₁: π₁ #π₂ 퍼 The p-value is. (Type an integer or a decimal. Round to three decimal places as needed.)

The accompanying summary data on CeO₂ particle sizes (nm) under certain experimental conditions was read from a graph in an article. 4.0-<4.5 4.5-5.0 27 6.5-<7.0 3 34 7.0-<7.5 4 3.0-3.5 5 5.5-6.0 13. 3.5-4.0 16 6.0-6.5 8 (a) What proportion of the observations are less than 5? (Round your answer to three decimal places.) 0.617 O (b) What proportion of the observations are at least 6? (Round your answer to three decimal places.) 0.120 (c) Construct a histogram with relative frequency on the vertical axis. Percent Percent 25 25 20 20 15 15 10 10 5 5 O 3 4 5 6 7 8 Particle Size (nm). (d) Construct a histogram with density on the vertical axis. Density 0.5 0.4 0.3 0.2 0.1 r 3 4 5 6 7 8 5.0-<5.5 22 7.5-8.0 1 O Particle Size 3 (nm) O Density 0.5 0.4 0.3 0.2 0.1 4 5 6 7 Compare the density histogram to the histogram in part (c). O The density histogram is less symmetrical. 8 3 4 5 6 7 8 O The density histogram is more positively skewed. The density histogram is less negatively skewed. O Both…

A poll classified respondents by gender and political party, as shown in the table. A researcher wonders if gender and party affiliation are not independent. (Assume a significance level of α = 0.05) Complete parts a) through e) below. d) Find the P-value for this test. Calculate the chi-square statistic. x² = 2.339 (Round to three decimal places as needed.) Find the P-value for the test. Choose the correct answer below. 0.0823 0.3104 0.003 DRIO 40 40 25 Male Female 49 35 18 e) State an appropriate conclusion. Choose the correct answer below. O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim. B. Reject the null hypothesis. There is not sufficient evidence to support the claim. C. Reject the null hypothesis. There is sufficient evidence to support the claim. O D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim.

3. An experiment is conducted to measure the flex (amount of bending) in a thin composite beam when placed under a known load (force). Smaller beams made of the same material will then be used as springs to protect electronics. The manufacturer needs the beam to flex on average 5.0 mm, with 95 % of all samples having a flex between 4.7 mm and 5.3 mm. After testing the flex of 20 samples, the following numbers are found: (d) (e) 20 (f) (g) i=1 Each sample has the flex measured to the nearest 0.1 mm using electronic calipers. (a) What is the mean flex found using 20 samples? What is the sample standard deviation of flex four using 20 samples? What is the 95% confidence interval for an individual sample? (Not true mean this time!) That is, in what range would we expect the flex of 95 % of the samples to be found? x₁ = 102.2 mm 20 Σχι" = 523.7 mm2 Xi i=1 Does the set of samples used satisfy the desired failure rate? Explain the reasoning behind your answer. What percent difference is there…

Based on the following statistical statement, χ2(1, N = 92) = 4.52, p = .03, is there a significant association? Group of answer choices Yes No

Qn5. Using the Kruskal-Wallis test at a = 0.01, can we conclude that the three populations represented by the three samples differ with respect to propellant burning rates? A Summarized data is given as follows: For System I: n = 5, Sum of the ranks i.e., R = 58 For System II:n, = 6, Sum of the ranks i.e., R, = 24 For System III: n, = 8, Sum of the ranks i.e., R, = 87. %3! ( Given that Table value of Chi Square = 9.21)