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2. A light-bulb manufacturer regularly advertises that his bulbs last 900 hours
with a standard deviation of 75 hours. A random sample is chosen before each
campaign to make sure that the claim is correct. If one such sample of 20 bulbs
show a mean of 925 hours, can the advertising claim be considered an
underestimate at the 0.05 level of significance?
1. According to the norms established for a history test, grade eight students
should have an average 81.7 with a standard deviation of 8.5. If 100 randomly
selected grade eight students from a certain school district average 79.6 in this
test, can we conclude at the 0.05 level of significance that grade eight students
from this school district can be expected to average less than the norm of 81.7?
DETERMINE THE NUMBER OF SETS OF ALL POSSIBLE RANDOM SAMPLES THAT CAN BE DRAWN FROM THE GIVEN POPULATION BY USING THE FORMULA, NCn.
N = 10, n = 3
IDENTIFY WHICH SAMPLING METHOD IS APPLIED. A SAMPLE OF 15 MICE ARE SELECTED AT RANDOM FROM A SET OF 50 MICE TO TEST THE EFFECT OF A CERTAIN MEDICINE.
DETERMINE THE NUMBER OF SETS OF ALL POSSIBLE RANDOM SAMPLES THAT CAN BE DRAWN FROM THE GIVEN POPULATION BY USING THE FORMULA, NCn.N = 5, n = 3.
Determine the dimensions of the right circular cylinder of
greatest volume that can be inscribed in a right circular cone of
radius 6 cm and height 9 cm.
A company that produces batteries claims that the life expectancy of their batteries is 90 hours with a standard deviation of 10 hours. A consumer interest group believes that the actual battery life expectancy of these batteries is shorter than the claimed battery life. In order to prove this, they test a random sample of 20 batteries which resulted a mean of 87 hours. Conduct a hypothesis test with a significance level of 0.05
A company that produces batteries claims that the life expectancy of their batteries is 90 hours with a standard deviation of 10 hours. A consumer interest group believes that the actual battery life expectancy of these batteries is shorter than the claimed battery life. In order to prove this, they test a random sample of 20 batteries which resulted a mean of 87 hours. Conduct a hypothesis test with a significance level of 0.05
A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.
x 10 12 24 20 13 13 8 22
y 80 83 94 90 85 84 80 89
Find the slope (a) and y-intercept (b) of the regression line. Interpret the results.
Predict the grade of a student who reviewed 15 hours a week before the final examination in statistics and probability.
Compute the Pearson’s r. Interpret the results.
Does the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before final examination have significant effect to his or her grade in statistics and probability? Used 0.05 level of significance.
DEADLINE : 05/12/2022 11 : 00 PM
A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.
x 10 12 24 20 13 13 8 22
y 80 83 94 90 85 84 80 89
Find the slope (a) and y-intercept (b) of the regression line. Interpret the results.
Predict the grade of a student who reviewed 15 hours a week before the final examination in statistics and probability.
Compute the Pearson’s r. Interpret the results.
Does the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before final examination have significant effect to his or her grade in statistics and probability? Used 0.05 level of significance.
#340153 on Dec 2023