Hi I need help on what is the answer for these word problems. Below is the problems and answers with explanation is recommended. I hope that you can help me and surely I will give you full positive feedbacks

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Problem 2 - Conducting Small Sample Test About a Population Mean A sample of five measurements, randomly selected from approprimately normally distributed population, resulted in the summary statistics: Sample Mean = 4.6, Sample Standard Deviation = 1.5. 1) Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis the the Population Mean is less than 6. Use a margin of error of 0.05. 2) Test the null hypothesis that the mean of the population is 6 against the altemative hypothesis that the Population Mean is not equal to 6. Use a margin of error of 0.05. Note: Probe your answer by providing the supporting computation.on Mean on, resulted ablem 4 - Test of Correlation A group of researcher students want to determine whether there is a correlation between the number of theft cases X and the number of vandalism cases Y incurred in their school. Data for one school year show the following: Month Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar X (number of theft cases) 20 28 NO Y (number of vandalism cases) 15 N What conclusion can be derived from the study? Note: Probe your answer by providing the supporting computation.Problem 3 - P - Value Approach of Hypothesis Testing Bryan administered a mathematics achievement test to a random sample of 50 graduating pupils. In this sample. the Sample Mean is 90 and the Sample Standard Deviation is 10. The population mean is 83 and the population standard deviation is 15. Use 0.05 margin of error. 1) Does the sample come from the average population? 2) Is the performance of the sample above average> Note: Probe your answer by providing the supporting computation.Solving Directions: Solve the following problems. Povide the supporting computation. Problem 1 - Conducting Large Sample Test About a Population Mean A researcher used a developed problem solving test to randomly select 50 Grade 6 pupils. In this sample, the sample mean is 80 and the sample standard deviation is 10. The population mean and population standard deviation used in the standardization of the test were 75 and 15, respectively. Use 95% confidence level to answer the following questions: 1) Does the sample mean differ significantly from the population mean? 2) Can it be said that the sample is above average? Note: Probe your answer by providing the supporting computation.Problem 5 - Test of Correlation The following data shows number of absences and the number of quizzes missed by five students. predict the relationship between the number of absences and the number of quizzes missed by a student. Student Number of Absences Number of Missed Quizzes FNVNT T FNM + Note: Probe your answer by providing the supporting computation