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The following are the ages of 8 jeepney passengers in a waiting shed: 12, 15, 18, 19, 21, 23, 35, and 40. The sample with size 7 is chosen to ride in the current jeepney.



Find the mean of the sample standard deviations




The following are the ages of 8 jeepney passengers in a waiting shed: 12, 15, 18, 19, 21, 23, 35, and 40. The sample with size 7 is chosen to ride in the current jeepney.



Construct the distribution of the standard deviations of all samples.

The Head of the Math Department announced that the mean score of Grade 11 students in St. James High School in the medterm examination in statistics and probability was 88 and the standard deviation was 10. One student who believed that the mean score was less than this, randomly selected 35 students and computed their mean score. She obtained a mean score of 84. At 0.01 level of significance, test the student’s belief.

The following are the ages of 8 jeepney passengers in a waiting shed: 12, 15, 18, 19, 21, 23, 35, and 40. The sample with size 7 is chosen to ride in the current jeepney. Determine the number of possible samples with size 7

. A consignment of 12 electronic components contains 1 component that is faulty. Two components are chosen randomly from this consignment for testing.

a. How many different combinations of 2 components could be chosen?

b. What is the probability that the faulty component will be chosen for testing?


The weights of a large number of miniature poodle are approximately normally distributed with a mean of 8 kilograms and a standard deviation of 0.9 kilograms. If measurements are recorded to the nearest tenth of a kilogram, find the fraction of these poodle

A real estate agent wishes to determine whether tax assesso s and real estate appraisers agree on the values of homes. A random sample of the two g oups appraised 10 homes. Is there a significant difference in the values of the homes for each group? Let a = 0.05. Assume the data are from normally distributed populations.

 

Reference Points

x

s

n


Starting Salaries

Real Estate Appraisers

php 83 256

php 3256

10


Tax Assessors

php 88 354

php 2341

10


A proofreader is interested in finding the probability that the number of mistakes in a page will be less than 10. From his past experience he finds that out of 3600 pages he has proofed, 200 pages contained no errors, 1200 pages contained 5 errors, and 2200 pages contained 11 or more errors. Can you help him in finding the required probability? 


3. The patriarch of the family recorded the starting salaries of his 9 children. He based his recording on their gender, as he believes that it is a factor in giving starting salaries. As a human rights advocate, the father is saddened by the findings. Is there a significant difference between the starting salaries of male and female children? Use 0.01 level of significance.


Reference Points

x

s

n


Starting Salaries

Male

php 12,200

php 700

5


Female

php 11,800

php 430

4


In a plant box consisting of 120 seedlings, 80 seedlings were treated with growth enhancer. Estimate p and q. What is the Point Estimate and Standard Deviation?

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