Answered: College tuition: The mean annual…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 1GP

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Question

Watching TV: In 2012, the General Social Survey asked a sample of 1320 people how much time they spent watching TV each day. The mean number of hours was 2.85 with a standard deviation of 2.65. A sociologist claims that people watch a mean of 3 hours of TV per day. Do the data provide sufficient evidence to conclude that the mean hours of TV watched per day differs from the claim? Use the a =0.05 level of significance and the P-value method with the TI-84 Plus calculator.

College tuition: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in
California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is
approximately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,0007
Use the a = 0.01 level of significance and the P-value method with the TI-84 Plus calculator.
Part: 0/4
Part 1 of 4
State the appropriate null and alternate hypotheses.
D-O
This hypothesis test is a (Choose one)
test.
left-tailed
right-talled
two-taled
Part 2 of 4
Compute the P-value. Round the P-value to at least four decimal places.
P-value =
Part 3 of 4
Determine whether to reject H
(Choose one)
the null hypothesis Ho-
Reject
Do not reject

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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