3. The comprehensive strength of concrete is being tested by civil engineer. He tests 10 specimens and the obtained data presented in Table 1. Table 1 2510 2550 | 2566 | 2583 | 2541 2590 2557 2530 2582 2599 Construct a 98% confidence interval for mean strength of the concrete.
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- The two, box and whisker diagrams below show the percentage marks obtained by two Grade 12 classes. Each class has 26 learners. Class A Class B O 10 20 30 40 50 60 70 80 90 100 The percentage marks for Class A, arranged in order, are given below: F: 58 60 62 62 63 65 65 66 66 66 66 67 69 70 71 73 73 90 [SASAMS database] 75 75 75 H 80 83 85 NOTE: Fis the lowest percentage mark H is a percentage mark between 75 and 80Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=100.74, y=103.1, r=0.906, P-value=0.000, and y=12.63+0.9x, where x represents the IQ score of the husband. Find the best predicted value of y given that the husband has an IQ of 105? Use a significance level of 0.05.The data is presented in parallel format. Before running the ANOVA in Excel, you will need to put it into serial (column) format. You will need to create a categorical variable for the first factor (days) and for the second factor (time of day). This is a critical step.The data presented shows exam scores for students randomly assigned to the sections meeting on these days at these times of the day: Thursday Friday Morning Afternoon Morning Afternoon 70.878.15978.246.646.476.559.376.370 65.678.359.359.778.680.892.780.865.392.3 90.890.569.177.36977.558.677.877.558.6 63.372.854.254.472.166.26372.56672.2 Conduct a 2-way ANOVA. First, find the group means for each level of the factors. (Report answers accurate to 2 decimal places.)Days: MThursday=MThursday= MFriday=MFriday= Time of day: Mmorning=Mmorning= Mafternoon=Mafternoon= Report the results of the ANOVA for the main & interaction effects. (Report P-values accurate to 4 decimal places and…
- (b) Give two sets of values (at least 6 values each) from two variables. Apply paired samples t-test. State your H, and H. Use any a level. Explain your result.Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 99.37, y = 98.55, r=0.859, P-value = 0.000, and y = 10.94 +0.88x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 105? Use a significance level of 0.05. 10CritPearson.pdf O A. 98.55 OB. 0.88 O C. 99.37 O D. 103.34Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 42 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,056 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,056 lb42=168 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 178.3 lb and a standard deviation of 36.8.
- The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Is there any difference in mean life of these two brands of tires? Car Brand Brand 36,925 34.318 42,280 1 45.300 36,240 3 4 35.500 32,100 31,950 38,015 37.210 48,360 5 47,800 38,200 37,810 33.500 33,215 6. 7 8. 1. Is this samples independent or paired samples? Explain. 2. Write Ho and H1 3. Calculate Test statistics(T). 4. What is the critical value (T from tables)? 5. What is your conclusions if a = 0.05? 6. Estimate with 90% confidence the different in the means. Which brand would you prefer based on this calculation?n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 n x=0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 α = 0.05 α = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286 0.269 0.256 α = 0.01 NOTE: To test Ho: p=0 against H₁: p0, reject Ho if the absolute value of ris greater than the critical value in the table.Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=99.75, y=101, r=0.921, P-value=0.000, and y=2.6+0.99x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 102? Use a significance level of 0.05.
- undergraduate students taking a concepts and methods course at the university conducted a survey about GPA and major. There were 197 total students and 3 groups of majors that were randomly sampled. The mean square within groups was 0.081 and the mean square between groups was 0.015. What F-statistic output is correct for this problem?Is there a relationship between one’s gender and whether one owns a dog, cat, or reptile? Use the data provided in the table below to answer the following question. -Show all the relevant statistical output How do I enter this data in SPSS and which test do I run? I input one column for each level but I am so confused and my output is weird looking. Do I run the One Way ANOVA in order to be able to calculate the effect size? Dog Cat Reptile Row Totals Male 20 17 11 48 Female 25 23 5 53 Column totals 45 40 16 101The recommended hours of sleep per night for adults is 8 hours. A doctor, who works at a sleep study facility, believes average number of hours of sleep per night for adults is more than the recommended 8 hours. To test this claim, at th significance level, the doctor collects the following data on a sample of 25 adults at the sleep study facility and records amount of sleep. The following is the data from this study: Sample size = 25 adults Sample mean = 8.5 hours Sample standard deviation = 0.9 hours Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=#, t represent the correct hypothesis.) Provide your answer below: