Answered: Let's Practice T Test A premium golf…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

A premium golf ball production line must produce all of its balls to 1.615 ounces in order to

get the top rating (and therefore the top dollar). Samples are drawn hourly and checked. If the

production line gets out of sync with a statistical significance of more than 1%, it must be

shut down and repaired. This hour’s sample of 18 balls has a mean of 1.611 ounces and a

standard deviation of 0.065 ounces. Do you shut down the line?

Step 1: Determine the null hypothesis

H0 : μ = 1.615 Ha : μ

Let's Practice T Test
A premium golf ball production line must produce all of its balls to 1.615 ounces in order to
get the top rating (and therefore the top dollar). Samples are drawn hourly and checked. If the
production line gets out of sync with a statistical significance of more than 1%, it must be
shut down and repaired. This hour's sample of 18 balls has a mean of 1.611 ounces and a
standard deviation of 0.065 ounces. Do you shut down the line?
Step 1: Determine the null hypothesis
Ho: µ = 1.615
Ha: µ
Step 2: Two tailed
Step 3: Select significance level a =
Step 4: T test
Step 5. Find the critical values (in the T-table). Draw and label a graph.
6: Calculate test Statistic
N=
X =
S=
Calculate.
Step 7-9. State the conclusion: consider the questions provided below
Reject? Or fail to reject?
Is therea statistically significant difference between the population mean of 1.615 and the
sample mean of 1.611? Include the scientific notation for T test.

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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