1. Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a special test was 80.5. If the standard deviation of the scores was 3.1, and the sample came from an approximately normal population, find the point and the interval estimates of the population mean, using 95% confidence.

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A. Solve the following problems.
1. Miss Romero noted that the mean scores of a random sample of 15 Grade
8 students who had taken a special test was 80.5. If the standard deviation
of the scores was 3.1, and the sample came from an approximately normal
population, find the point and the interval estimates of the population mean,
using 95% confidence.
2. Edith has observed that the mean age of 18 youth volunteers in a barangay
project is 17.5 years with a standard deviation of 2 years. If the sample comes
from an approximately normal distribution, what are the point and the interval
estimates of the population mean? Adopt 99% confidence level.
4. In an interview held among 18 randomly selected elementary teachers of a
certain school, the mean salary was found to be Php 21 000 with a standard
deviation of Php 3 000. Use 95% confidence to estimate the population mean
where the sample came from.
Transcribed Image Text:A. Solve the following problems. 1. Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a special test was 80.5. If the standard deviation of the scores was 3.1, and the sample came from an approximately normal population, find the point and the interval estimates of the population mean, using 95% confidence. 2. Edith has observed that the mean age of 18 youth volunteers in a barangay project is 17.5 years with a standard deviation of 2 years. If the sample comes from an approximately normal distribution, what are the point and the interval estimates of the population mean? Adopt 99% confidence level. 4. In an interview held among 18 randomly selected elementary teachers of a certain school, the mean salary was found to be Php 21 000 with a standard deviation of Php 3 000. Use 95% confidence to estimate the population mean where the sample came from.
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