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- The average time period that spouses survive after the death of their partner is said to be greater for widows than for widowers. A sociologist who wishes to evaluate such claim obtained survival data (in years) following the death of a spouse on randomly selected 10 widows and 8 widowers. Software Output: Shapiro-Wilk TestFor Widows: data: survival p-value = 0.57For Widowers: data: survival p-value = 0.98Levene’s Test for Homogeneity of Variance p-value = 0.98 What is the most appropriate test procedure to test the claim? a. Z-test b. Pooled t-test c. Non-pooled t-test d. Mann-Whitney TestDr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Times Late/ Final Exam Absent Grade 9 84.00 2 92.50 12 52.00 5 87.00 11 75.00 24 45.00 7 39.00 10 46.00 19 63.00 2 65.00 2 98.00 17 24.50 8 58.00 20 69.50 55 49.00 23 68.50 70.00 4 75.50 85.00 7 97.00 2 97.00 93.50 93.50 2 78.00 2 86.00 2 88.00 Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable?A sample has a minimum value of 7 and a maximum value of 58 .Estimate its variance.
- Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Times Late/ Final Exam Absent Grade 9 84.00 92.50 12 52.00 5 87.00 11 75.00 24 45.00 39.00 10 46.00 19 63.00 2 65.00 2 98.00 17 24.50 8 58.00 20 69.50 55 49.00 23 68.50 70.00 4 75.50 2 85.00 97.00 2 97.00 2 93.50 93.50 2 78.00 2 86.00 2 88.00 Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: (Excel file Assignment10.xlsx) SHOW YOUR WORK а. Count the number of XY variables. b. Calculate the mean and sample standard deviation of both the independent and…Find the variance of the time to failure for two identical units, each with a failure rate 2, placed in standby parallel configuration. Compare the result with the vari- ance of the same two units placed in active parallel configuration. Ignore switch- ing failures and failures in the standby mode.Estimate the variance of the number of FHH members. Upload a snapshot of your solution. Estimate the variance of the sample means of the number of FHH members for samples of size 15 taken from the population of FHHs in Brgy Mayaman using your gathered sample data. Upload a snapshot of your solution.
- From past records a firm has noted that the average time its employees take for tea break is 15 minutes , with variance 4 minutes. A new employee joins the firm and over 50 tea breaks he has been observed to take an average time of 17 minutes. Should the manager caution him about taking too long a time over his tea break ?The Golden Comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. According to recent studies, the mean rate of egg production for 1-year-old Golden Comets is 5.1 eggs/week. Sarah has 35 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. Her hens exhibit a mean egg-laying rate of 5.4 eggs/day. Sarah wants to determine whether the mean laying rate u for her hens is higher than the mean rate for all Golden Comets. Assume the population standard deviation to be o = 2.0 eggs/day. i. State the appropriate null and alternate hypotheses. ii. Compute the value of the test statistic. iii. State a conclusion. Use the a= 0.05 level of significance.A simple random sample of 100 water meters within a community is monitored to estimate the average daily water consumption per household over a specified dry spell. The mean and variance for this sample are 12 and 1250, respectively. If we assume that there are N= 1000 houscholds within the community, and the maximum and minimum water consumption values per household are 23 and 3 respectively, estimate the true mean of daily water consumption.
- Create a residual plot and comment on the appropriateness of the model.8- Conduct residual analysis for the best fitted model . Comment on the normality assumption and constant error variances. Comment on this 4 graph on the the normality assumption and constant error variancesa sample of 60 grade 9 student age was obtained to estimate the mean age of all grade 9 students. x = 15.3 years and the population variance is 16
