1. A sample of 70 observations was selected from a normal population. The sample mean is 2.78 and the sample standard deviation is 0.83. Another sample of 58 observations was selected from a normal population. The mean sample is 2.63 and the sample standard deviation is 0.75. 2. A district supervisor of a certain school surveyed 28 randomly selected teachers and found that they work an average of 42.6 hours a week and the standard deviation was 3.75 hours. 3. A researcher randomly selected a sample of 550 residents and found that 495 of them do have household pets. 4. An agronomist randomly selected 20 matured calamansi trees of one variety and have a mean height of 10.8 feet with standard deviation of 1.25 feet, while 12 randomly selected calamansi trees of another variety have a mean height of 9.6 feet with standard deviation of 1.45. 5. Determine who among the three salesmen will most likely be promoted based on their monthly sales in pesos.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Determine if z-test, t-test or f-test will be used.

1. A sample of 70 observations was selected from a normal population. The sample mean is
2.78 and the sample standard deviation is 0.83. Another sample of 58 observations was
selected from a normal population. The mean sample is 2.63 and the sample standard
deviation is 0.75.
2. A district supervisor of a certain school surveyed 28 randomly selected teachers and found
that they work an average of 42.6 hours a week and the standard deviation was 3.75 hours.
3. A researcher randomly selected a sample of 550 residents and found that 495 of them do
have household pets.
4. An agronomist randomly selected 20 matured calamansi trees of one variety and have a
mean height of 10.8 feet with standard deviation of 1.25 feet, while 12 randomly selected
calamansi trees of another variety have a mean height of 9.6 feet with standard deviation of
1.45.
5. Determine who among the three salesmen will most likely be promoted based on their
monthly sales in pesos.
Transcribed Image Text:1. A sample of 70 observations was selected from a normal population. The sample mean is 2.78 and the sample standard deviation is 0.83. Another sample of 58 observations was selected from a normal population. The mean sample is 2.63 and the sample standard deviation is 0.75. 2. A district supervisor of a certain school surveyed 28 randomly selected teachers and found that they work an average of 42.6 hours a week and the standard deviation was 3.75 hours. 3. A researcher randomly selected a sample of 550 residents and found that 495 of them do have household pets. 4. An agronomist randomly selected 20 matured calamansi trees of one variety and have a mean height of 10.8 feet with standard deviation of 1.25 feet, while 12 randomly selected calamansi trees of another variety have a mean height of 9.6 feet with standard deviation of 1.45. 5. Determine who among the three salesmen will most likely be promoted based on their monthly sales in pesos.
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