A study at the physics laboratory at Istanbul Kültür University is made to examine the defects in an electronic component. The findings reveal that there are four possible types of defect and three types of materials used in those electronic components. The following data have been observed in the laboratory: Material Defect Type Туре II III IV A 22 45 19 7 B 18 8 16 28 11 10
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- Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. blood types condition O A B AB Total critical 64 44 20 8 136 severe 175 129 50 15 369 moderate 211 528 151 125 1015 mild 200 400 140 140 880 total 650 1101 361 288 2400 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance? [2 marks]A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. What method of data collection was used? Select one: a.Experiment b.Observational Study
- A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. To test for significance of their findings, which of the following should the dentists use? Select one: a.Paired t-test b.One-sample t-test for a mean c.Linear Regression d.One-sample Z-test for a proportion e.Chi-Square test for independence f.Two-Sample t-test g.One-sample Z-test for a meanA researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 a. State both the null and alternative hypotheses.b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic.d. What conclusion are you allowed to draw?e. Would your conclusion change at the 10% level of significance?f. Confirm test results in part (c) using JASP. Note: All JASP input files and outputtables should be providedA researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance?
- A panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in this study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. ******In the sample, 6 of the 30 patients assigned to Brand A were found to have a cavity. The fraction 6/30 should be denoted by which of the following? μ x̄ p p̂ n s σ χ²A study was conducted in 1997 to measure the total fat content, calories, and sodium content of vegetable burgers available at supermarkets and commonly used as a meat substitute. Measurements on 54 different brands of "veggie burgers," and the results were used to develop the 3-way contingency table below. Under 130 Calories Under 130 Calories 130 Calories or More 130 Calories of More Total Fat Content Under 320 g Sodium 320 g Sodium or More Under 320 g of Sodium 320 g Sodium or More Under 3 g 6 12 1 1 3-4 g 7 4 3 5 Over 4 g 1 1 7 6 A= {"Under 130 Calories"}, B= {"320 g Sodium or More"} C= {"Over 4 g Total Fat"} A vegetable burger is selected randomly from the group. Find the following probabilities: Please Answer D, E, F (d.) P(A and B) (e.) P(A and B and C) (f.) P(A or B)A study was conducted in 1997 to measure the total fat content, calories, and sodium content of vegetable burgers available at supermarkets and commonly used as a meat substitute. Measurements on 54 different brands of "veggie burgers," and the results were used to develop the 3-way contingency table below. Under 130 Calories Under 130 Calories 130 Calories or More 130 Calories of More Total Fat Content Under 320 g Sodium 320 g Sodium or More Under 320 g of Sodium 320 g Sodium or More Under 3 g 6 12 1 1 3-4 g 7 4 3 5 Over 4 g 1 1 7 6 A= {"Under 130 Calories"}, B= {"320 g Sodium or More"} C= {"Over 4 g Total Fat"} A vegetable burger is selected randomly from the group. Find the following probabilities: Please Answer A, B, & C (a.) P(A) (b.) P(B) (c.) P(C)
- In a study of chromosomal anomalies observed in a randomly selected sample of 1200 infertile men with either a zero or low sperm count, a team of researchers assigned the value of 1 for the presence of any chromosomal anomaly in the subject's sperm and the value of 0 for the absence of all chromosomal anomalies in the subject's sperm.Of the 600 men with zero sperm count, 48 had chromosomal anomalies. Of the 600 men with low sperm count, 15 had chromosomal anomalies. The researchers would like to test the hypothesesHo: P1 = P2Ha: P1 does not equal P2where p₁ the true proportion of all men with zero sperm count that have chromosomal anomalies and p₂ = the true proportion of all men with low sperm count that have chromosomal anomalies.What is the z standardized test statistic, for this test?A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 2400 State both the null and alternative hypotheses. Provide the decision rule for making this decision. Use an alpha level of 5%. Show all of the work necessary to calculate the appropriate statistic. What conclusion are you allowed to draw? . Would your conclusion change at the 10% level of significance?The article “Differences in Susceptibilities of Different Cell Lines to Bilirubin Damage” (K. Ngai, C. Yeung, and C. Leung, Journal of Paediatric Child Health, 2000:36–45) reports an investigation into the toxicity of bilirubin on several cell lines. Ten sets of human liver cells and 10 sets of mouse fibroblast cells were placed into solutions of bilirubin in albumin with a 1.4 bilirubin/albumin molar ratio for 24 hours. In the 10 sets of human liver cells, the average percentage of cells surviving was 53.9 with a standard deviation of 10.7. In the 10 sets of mouse fibroblast cells, the average percentage of cells surviving was 73.1 with a standard deviation of 9.1. Find a 98% confidence interval for the difference in survival percentages between the two cell lines.