In an experiment to determine the impact of packaging on the eating quality of beef, a one-way anova was run to compare the three treatments (MAP = Modified atmosphere packaging; OWP = overwrap (cling wrap); VSP = Vacuum sealed packaging) on the eating quality of striploin samples (measured on a scale between O and 100). 8 samples were observed for each packaging method. A partially filled in one-way ANOVA table is given below. df Sum Sq Mean Sq F statistic Packaging Residuals Total 272.1 1156.8 Calculate the F statistic and report it below to 1 decimal place.
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- Colorectal surgery is associated with a high rate of surgical site infection (SSI). Complications arising from SSI significantly increase an individual's length of hospital stay, reduce quality of life, and can also lead to additional health care needs. Outcomes of 2,919 colorectal surgeries were collected for research, including age and whether an individual developed a surgical site infection. Medical researchers would like to use this sample data to learn about health outcomes for colorectal surgery. One question medical researchers were hoping to answer is whether the difference in the ages of colorectal surgery patients who develop SSI and those who do not is too great to have resulted from sampling error alone. Perform a two-sample t-test for comparing two population means to answer this question.The Paleo diet allows only for foods that humans typically consumed over the last 2.5 million years, excluding those agriculture-type foods that arose during the last 10,000 years or so. Researchers randomly divided 500 volunteers into two equal-sized groups. One group spent 6 months on the Paleo diet. The other group received a pamphlet about controlling portion sizes. A randomized treatment assignment was performed, and at the beginning of the study, the average difference in weights between the two groups was about 0 pounds. After the study, the Paleo group had lost an average of 7.1 pounds with a standard deviation of 22.75 pounds while the control group had lost an average of 4.5 pounds with a standard deviation of 11.5 pounds. After failing to reject the null hypothesis support your answer with a p-value (a) P-value = _______The Paleo diet allows only for foods that humans typically consumed over the last 2.5 million years, excluding those agriculture-type foods that arose during the last 10,000 years or so. Researchers randomly divided 500 volunteers into two equal-sized groups. One group spent 6 months on the Paleo diet. The other group received a pamphlet about controlling portion sizes. Randomized treatment assignment was performed, and at the beginning of the study, the average difference in weights between the two groups was about 0 pounds. After the study, the Paleo group had lost an average of 7.6 pounds with a standard deviation of 20.75 pounds while the control group had lost an average of 5.8 pounds with a standard deviation of 12.5 pounds. What is the P value?
- The Paleo diet allows only for foods that humans typically consumed over the last 2.5 million years, excluding those agriculture-type foods that arose during the last 10,000 years or so. Researchers randomly divided 500 volunteers into two equal-sized groups. One group spent 6 months on the Paleo diet. The other group received a pamphlet about controlling portion sizes. A randomized treatment assignment was performed, and at the beginning of the study, the average difference in weights between the two groups was about 0 pounds. After the study, the Paleo group had lost an average of 6.5 pounds with a standard deviation of 22.75 pounds while the control group had lost an average of 5.2 pounds with a standard deviation of 10.25 pounds. 95% Confidence Interval ( -1.808, 4.408 ) What is the P-Value? _______Two types of valves are being tested to determine if there is a difference inpressure tolerances. Fifteen out of a random sample of 100 of Valve Acracked under 4,500 psi. Six out of a random sample of 100 of Valve Bcracked under 4,500 psi. Test at a 5% level of significance.The respiratory disturbance index (RDI), which is the number of apneic and hypopneic episodes per hour of sleep, was used as a measure of severity of sleep apnea. An RDI of 5 or more indicates sleep-related breathing disturbances. The RDIs for the females and males samples in a study in US are as follows. At the 1% significance level, do the data provide sufficient evidence to conclude that the female patients are less suffer than male from the apnea disease?
- A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 228 vinyl gloves, 57% leaked viruses. Among 228 latex gloves, 11% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Pooled proportion: 0.34 Test statistic, z: 10.5783 Critical z: 1.2816 P-value: 0.0000 80% Confidence interval: 0.4199096<p1−p2< 0.5186869 Identify the test statistic. Identify the P-value.A paint manufacturer wishes to compare the drying times of two different types of paint. Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times (in hours) were recorded. The summary statistics are given in the image below. Use a 0.01 significance level to test the claim that the mean drying time for paint type A is longer than the mean drying time for paint type B.Three adhesives are being analysed for their impact on the bonding strength of paper in a pulp and paper mill. The adhesives are each randomly applied to four batches. The data is shown in Table 2. Here, the three treatments are the adhesives (p=3) and the number of replications for each treatment is 4 (r=4). Is there a difference among the adhesives in terms of the mean bonding strength? Test at the 5% significance level. Given F0.05,2,9 = 4.26 Adhesive Bonding strength (kg) type Adhesive 1 10.2 11.8 Adhesive 2 12.8 14.7 Adhesive 3 7.2 9.8 Table 2 Bonding strength data 9.6 13.3 8.7 12.4 15.4 9.2
- A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 266 vinyl gloves, 67% leaked viruses. Among 266latex gloves, 14% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Pooled proportion:0.40 Test statistic, z:12.6341 Critical z:1.2816 P-value:0.0000 80% Confidence interval: 0.4919708<p1-p2<0.5832171 What are the null and alternative hypotheses? A. H0:p1=p2 H1:p1>p2 B. H0:p1≠p2 H1:p1=p2 C. H0:p1>p2 H1:p1=p2 D. H0:p1<p2 H1:p1=p2 E. H0:p1=p2 H1:p1<p2 F. H0:p1=p2 H1:p1≠p2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this…A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 261 vinyl gloves, 60% leaked viruses. Among 261 latex gloves, 12% leaked viruses. Using the accompanying display of the technology results, and using a 0.01 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Pooled proportion: 0.36 Test statistic, z: 11.4104 Critical z: 2.3264 P-value: 0.0000 98% Confidence interval: 0.3943331<p1−p2< 0.5635213 Identify the test statistic. Identify the P-value.In a test of the effectiveness of garlic for lowering cholesterol, 41 senior citizens were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol (in mg/dL) have an average (mean) of 3.8. Identify the sample, the population, the sample statistic, and the population parameter in this study.