Task 1. Statistical inference with the mean obtained from a sample Ventilator 2 Mean airway pressure Ventilator mean 59.66 Ventilator standard deviation 1.65 Mean obtained in the test 56.62 Sample size 12 In this case, only the tests for the first two ventilators will be performed, because they are the ones that have yielded the worst and best results in the tests, respectively. The aim is to check whether or not the values obtained from the tests support the data provided by the manufacturer (null hypothesis). It should be noted that the mean obtained from the simulator is the result of 12 tests. Given the following data tables: Ventilator 1 Mean airway pressure Ventilator mean 74.86 Ventilator standard deviation 6.41 Determine the null and alternative hypotheses according to the data obtained from the simulation (consider that the standard deviation of the simulation is the one obtained from the sample). Using the critical value method and E=0.05, calculate the z-score z_a and the acceptance region for the data obtained from the simulation tests. * Validate the results obtained above using the functions used by R for doing the corresponding tests. Indicate whether HO is accepted or refuted. ▸ Is the sample size considered suitable, what must it be to minimize the error of the mean to 1.5? Can any conclusions be drawn from the sample sizes and tests performed? Mean obtained in the test 67.38 Sample size 12

I. There are two samples with means 15 and 18. Both of those samples consist of 24 observations. Sample standard deviations are equal to 4 in both cases. If you want to test whether the difference between the mean in the first and the mean in the second population is equal to 0, what is your decision at the .01 level?

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"

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 0.05 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm 150 142 120 131 167 160 179 156 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Hd = 0 H₁: Hd 0 Since the P-value is than the significance level, the null hypothesis. There sufficient evidence to support the claim of a difference in measurements between the two arms.

Step 1 of 3. State the null and alternative hypotheses for the test.   Step 2 of 3. Compute the value of the test statistic. Round your answer to three decimal places   Step 3 of 3. Draw a conclusion and interpret the decision.

solve question  3 please

An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. 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).   ...   Question content area top right Part 1     μ n x s   No candy μ1 36 18.61 1.39 Two candies μ2 36 21.26 2.34   * find the t stat * find the p value * State the conclusion * Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places. mu=57" and "sigma=14;n=38; bar(x)=62