An overly involved "neighborhood watch" group has been investigating the length of lawns. In years past, lawns had been mowed to a mean length of 3.3 inches. A recent random sample of lawn lengths is given below. Conduct an appropriate test, at a 5% significance level, to determine if the overall mean lawn length is now higher than 3.3 inches. Data (lawn lengths, measured in inches): 2.00 4.51 3.60 4.47 3.52 2.84 3.42 2.99 3.94 2.99 4.55 3.67 4.45 3.24 3.39 5.10 3.65 Q1 sample mean (rounded to 3 decimal places proeprly): ¯x=x¯= Q2) Standard deviation of the sample (rounded to 3 decimal places proeprly): s= Q3)test statistic (rounded to 4 decimal places proeprly): t= Q4)P-value (rounded to 4 decimal places proeprly):

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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Testing a claim about a population mean: t-Test

An overly involved "neighborhood watch" group has been investigating the length of lawns. In years past, lawns had been mowed to a mean length of 3.3 inches.

A recent random sample of lawn lengths is given below. Conduct an appropriate test, at a 5% significance level, to determine if the overall mean lawn length is now higher than 3.3 inches.

Data (lawn lengths, measured in inches):

2.00 4.51 3.60 4.47 3.52 2.84 3.42 2.99
3.94 2.99 4.55 3.67 4.45 3.24 3.39 5.10
3.65            

 

Q1
sample mean (rounded to 3 decimal places proeprly): ¯x=x¯=

Q2) Standard deviation of the sample (rounded to 3 decimal places proeprly): s=

Q3)test statistic (rounded to 4 decimal places proeprly): t=

Q4)P-value (rounded to 4 decimal places proeprly): 

 

 

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ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt