5. Find a point estimate of the true mean diameter of the Penicillium roqueforti colonies grown on petri dishes filled with malt extract agar.
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- The data given below are measurements (in micrometer units) of the thorax length of the aphid, Pemphigus populitransversus. The aphids were collected in 6 galls on the cottonwood, Populus deltoides. Four alate (winged) aphids were randomly selected from each gall and measured. The alate aphids of each gall are mostly isogenic (identical twins), being decended parthenogenetically from one stem mother. Thus, any variance within galls should be due to environment only. Variance among different galls may be due to differences in genotype and also to environmental differences among galls. Do a one-way ANOVA to test whether there significant intergall variance. Gall No. Replicate No. 1 2 3 4 5 6 1 4.4 5.7 6.2 5.1 6.1 6.2 2 4.9 5.1 5.1 6 6 6.2 3 4.7 5.8 6.1 5.8 5.7 5.3 4 4.8 5.5 5.3 5.9 6 6.3 Average 4.70 5.53 5.68 5.70 5.95 6.00 Ho: Ha: T stat: df: P: Conclusion relative to hypothesisThe mold Penicillium roqueforti is encouraged to grow in milk curds to produce the blue spotted and sharp-tasting blue cheeses. When grown on Czapek yeast autolysate agar, Penicillium roqueforti colonies grow with an average of 40 mm. in diameter. But cultivated on a malt extract agar, the penicillium colonies are expected to grow bigger. To verify this, Chatham Lurpak randomly sampled 16 Penicillium roqueforti colonies grown on petri dishes filled with malt extract agar. The measurements of their diameters (mm.) are as follows: 1. Using visual inspection with the given histogram and Q-Q Plot below, do the data show evidence that the diameter of the Penicillium roqueforti colonies grown on petri dishes filled with malt extract agar follows the normal distribution? Explain by interpreting each graph. frequency 4 n 0 38.6 39.0 35.2 34.1 32.9 42.4 37.5 52.6 45.9 60.0 29.1 47.7 61.7 41.7 43.5 50.2 30 40 Diameter 50 Figure 1. Histogram 60 Diameter 8 60 99 50 45 30 -1 0 norm quantiles Figure…A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging. 127 98 79 147 200 130 60 51 81 98 160 165 134 62 152 66 Reference: 4-8-Technology 105 75 120 113 200 190 68 124 190 159 60 Describe how you would generate a single randomization sample in this situation, and identify the statistic you would calculate for each sample.
- The data given below are measurements (in micrometer units) of the thorax length of the aphid, Pemphigus populitransversus. The aphids were collected in 6 galls on the cottonwood, Populus deltoides. Four alate (winged) aphids were randomly selected from each gall and measured. The alate aphids of each gall are mostly isogenic (identical twins), being decended parthenogenetically from one stem mother. Thus, any variance within galls should be due to environment only. Variance among different galls may be due to differences in genotype and also to environmental differences among galls. Do a one-way ANOVA to test whether there significant intergall variance. Gall No. Replicate No. 1 2 3 4 5 6 1 4.4 5.7 6.2 5.1 6.1 6.2 2 4.9 5.1 5.1 6 6 6.2 3 4.7 5.8 6.1 5.8 5.7 5.3 4 4.8 5.5 5.3 5.9 6 6.3 Average 4.70 5.53 5.68 5.70 5.95 6.00 I am having a hard time wording my Ho and Ha, as well as finding ts, df, and P. How do I do this using excel?Aircraft primer paints are applied to aluminum surfaces to improve paint adhesion. Theprocess engineering group responsible for this operation is interested in learning whetherthree different primers differ in their adhesion properties. An experiment was designed andconducted to investigate the effect of paint primer type on paint adhesion. For each primertype, six specimens were painted, then a finish paint was applied, and the adhesion force wasmeasured. The data from the experiment are shown in the following table.Adhesion force (MPa)Primer Type X 4.5 4.5 4 5 5.5 5Y 5.5 5.5 6 6.5 7 7Z 3.5 4 3 4 5 4.5a) What type of experiment is this? What type of analysis id needed for the investigation?Break down the details and parameters of this experiment design. You must list theparameters that were considered in the design and also mention the quantity of each.b) Does primer type make a significant impact on adhesion, at 5% significance level?In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, herandomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony-forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer to this question with the results of a statistical procedure. Use α = 0.05. Data: May= 66, June= 104, July=105, August= 88
- As an alternative to hand washing, some hospitals allow health workers to rub their hands with an alcohol-based antiseptic. The British Medical Journal (Aug. 17, 2002) reported on a study to compare the effectiveness of washing the hands with soap and rubbing the hands with alcohol. One group of health care workers used hand rubbing, while a second group used hand washing to clean their hands. The bacterial count (number of colony-forming units) on the hand of each worker was recorded. The table gives descriptive statistics on bacteria counts for the two groups of health care workers.a. For hand rubbers, form an interval that contains at least 75%75% of the bacterial counts. (Note: The bacterial count cannot be less than 0 .)b. Repeat part a for hand washers.c. On the basis of your results in parts a and b, make an inference about the effectiveness of the two handcleaning methods.In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, herandomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony-forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. Part A: Does the mean E. coli contamination differ significantly among the four months? Justify your answer to this question with the result of a statistical test. Use α = 0.05. Part B:Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer to this…A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d below
- In this study, the protection of aquatic ecosystems is an important goal of Ville de Montréal. In particular, Thomas wants to see whether the contamination of creeks (ruisseaux in French) by Escherichia coli differs among the months of May, June, July, and August. Therefore, herandomly samples six creeks in different areas. For each creek, he collects water samples from May to August, and measures the amount of E. coli, expressed in colony-forming units (CFU) per 100 mL of water. For each combination of a month and a creek, he thus obtains an E. coli contamination value, i.e., 24 observations in total. A preliminary statistical analysis produces the following results. Which pairs of months show significant differences in mean E. coli contamination? Explain your reasoning and justify your answer to this question with the results of a statistical procedure. Use α = 0.05.I. Write P if it is a primary source and S if it is a secondary source. An interview with the health officials concerning the effectiveness of the COVID 19 vaccine * Student's online evaluation of the performance of the faculty * A TV host was asked about the status of the entertainment industry. *A study was carried out to compare the writing lifetimes of four premium brands of pens. It was thought that the writing surface might affect life- time, so three different surfaces were randomly se- tected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., con- stant pressure and a fixed angle). The accompany- ing table shows the two lifetimes (min) obtained for each brand-surface combination. In addition, EEEr = 11,499,492 and EExj, = 22,982,552, Writing Surface 1 2 3 1 709, 659 713, 726 660, 643 Brand 2 668, 685 722, 740 692, 720 of Pen 3 659, 685 666, 684 678, 750 4 698, 650 704, 666 686, 733 4112 4227 4122 4137 5413 5621 5564 16,598 Carry out an appropriate ANOVA, and state your conclusions.
