3. The example from lectures (the liquid filling machine) is considered for the second time. We will again assume that the machine fills the canisters with liquid and volume of liquid (in liters) within each canister follows approximately the normal distribution N(μ, 2) and the amount of liquid in each canister is thought to be independent one another. This time, 16 measurement results have been collected and (again) we assume μ and σ² > 0 are unknown. Suppose now that the measurements (in liters) are as below y = (9.88, 10.11, 10.33, 10.47, 9.84, 10.17, 10.13, 10.58, 10.22, 10.72, 10.07, 10.33, 10.04, 10.45, 10.16, 9.47) Using the data determine (a) some one-sided 99% confidence interval for parameter μ. (b) two-sided symmetric 99% confidence interval for parameter μ.

Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…

Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population.   14,19,16,14,19,19,14,21,17,17,14,17   Give the p-value and interpret the results. a) p = 0.0012; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. b) p = 0.0012; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0023; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and…

Suppose the lengths of human pregnancies are normally distributed with μ=266days and σ=16 days. Complete parts  (a) and​ (b) below.

A study was conducted in the tidal flat at Polka Point, North Stradbroke Island to examine the distribution of the animals that live with the seagrass Sargassum at different distances from the shoreline. Samples of Sargassum were taken at 5, 10, 15 m from the shore and these were examined for amphipods and isopods. The observations are recorded below. Is the distribution of each of the organisms with regards to the shore the same at all three distances? Use the data below to test the hypothesis at the p < 0.05 level. Clearly state the hypotheses and interpret the results. (Note: Find chi-square for each individual column (amphipods and isopods, not the two together) Distance Amphipods Isopods   5 2 7   10 31 14   15 45 22

One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…

The following table contains data from a physics experiment. Complete the table. Trial Rate (m/sec) Time (sec) Distance (m) kq² – 3k1 k1 + 1 k1² + 3k1 + 2 1 k1 3 2 k2 + 6k2 + 5 k2 + 1 2 k22 + 11k2 + 30

The temperature of a certain chemical process is thought to be related to the time it takes for the process to reach completion. Out goal is to that relationship so that we can use it to predict TIME TO REACH COMPLETION at various TEMPERATURES. 14 trials are set up and the time for the process to complete is measured for each of the different temperatures. The data is presented here:(data is in the image added to the question as well as more questions to answer)

The shelf life of a particular dairy product is normally distributed with a μ of 12 days and a σ of 3 days. What percent of the products last 15 or more days?

The data in the table below consist of measurements y₁, y2, y3, and yn of the ramus bone at four different ages on each of 20 boys. 1. Find y. 2. Find Sn 3. Find R Ramus Bone Length at Four Different Ages for 20 Boys. Age Individual 1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 8 yr (yi) 47.8 46.4 46.3 45.1 47.6 52.5 51.2 49.8 48.1 45 51.2 48.5 52.1 48.2 49.6 50.7 47.2 53.3 46.2 46.3 8½ yr (Y2) 48.8 47.3 46.8 45.3 48.5 53.2 53 50 50.8 47 51.4 49.2 52.8 48.9 50.4 51.7 47.7 54.6 47.5 47.6 9 yr (Y3) 49 47.7 47.8 46.1 48.9 53.3 54.3 50.3 52.3 47.3 51.6 53 53.7 49.3 51.2 52.7 48.4 55.1 48.1 51.3 9½ yr (Y4) 49.7 48.4 48.5 47,2 49.3 53.7 54.5 52.7 54.4 48.3 51.9 55.5 55 49.8 51.8 53.3 49.5 55.3 48.4 51.8