Answer 14-19 only For numbers 12-14, please refer to the problem below.A population consists of five (5) measurements 2, 3, 6, 5, and 7.w many differenI SAMDIEN of size 7d. 10-hat is the mean of the samping distribution ofto fou14. What is the variance of the sampling distribution of the sample means with asample size of 2? a. 0.89b. 1.29c. 2.20d. 3.90For numbers 15-16, identify whether the given situation illustrates a samplingdistribution from a normal population with a) Known or b) Unknown Variance15. IQ scores are normally distributed with standard deviation o = 15 points. Youwish to determine the mean IQ of all students in Matiyaga National High School bytaking a random sample of 16 students.16. The general weighted average (GWA) of the Grade 11 applicants for admissionin ASHS over the past 6 years has been consistently μ = 92.78. This year a sampledata of the applicant's GWA are 98, 89, 92, 95, 90, 97 and 93.17. This distribution is used to determine the probability of an event by transformingthe mean of the sample to an approximately standard normal variable if the populationvariance is known and sample size is greater than 30.a. t-Distributionc. Z-Distributionb. Chi-Square Distributiond. Pearson Correlation Coefficient18. This distribution is used to estimate population parameters when the populationvariance is unknown, and the sample size is less than 30.a. Z-Distributionc. t-Distributionb. Chi-Square Distributiond. Pearson Correlation Coefficient19. If the mean of the sampling distribution of the mean is 6.5, which of the followingstatements best describe the population mean?a. The population decreases by 6.5.b. The population is greater than 6.5.1?

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Population is the whole measure that are used for the study. Sample is the subset of population and…