How many computers? In a simple random sample of 175 households, the sample mean number of personal computers was2.94. Assume the population standard deviation is o =0.45. Part 3 of 4(c) If the confidence levels were 98% rather than 80%, would the margin of error be larger or smaller than the result inpart (a)? Explain.The margin of error would be (Choose one)since (Choose one) in the confidencelevel will (Choose one) thlargersmaller(c) If the confidence levels were 98% rather than 80%, would the margin of error be larger or smaller than the result inpart (a)? Explain.The margin of error would be (Choose one)since (Choose one)in the confidencelevel will (Choose one) the critical valuean increasea decrease(c) If the confidence levels were 98% rather than 80%, would the margin of error be larger or smaller than the result inpart (a)? Explain.The margin of error would be (Choose one)since (Choose one) v in the confidencelevel will (Choose one) v the critical value zincreasedecrease

Given Sample size, n=175 Sample mean, x¯=2.94Population sd,σ=0.45

Answered: (c) If the confidence levels were 98%…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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How many computers? In a simple random sample of 175 households, the sample mean number of personal computers was 2.94. Assume the population standard deviation is o =0.45.

Part 3 of 4
(c) If the confidence levels were 98% rather than 80%, would the margin of error be larger or smaller than the result in
part (a)? Explain.
The margin of error would be (Choose one)
since (Choose one) in the confidence
level will (Choose one) thlarger
smaller
(c) If the confidence levels were 98% rather than 80%, would the margin of error be larger or smaller than the result in
part (a)? Explain.
The margin of error would be (Choose one)
since (Choose one)
in the confidence
level will (Choose one) the critical value
an increase
a decrease
(c) If the confidence levels were 98% rather than 80%, would the margin of error be larger or smaller than the result in
part (a)? Explain.
The margin of error would be (Choose one)
since (Choose one) v in the confidence
level will (Choose one) v the critical value z
increase
decrease

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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