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 3.5 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 3.5 inches. Data (lawn lengths, measured in inches): 3.33 4.02 3.81 4.03 3.60 3.62 3.09 3.01 3.76 3.22 3.73 3.91 4.00 3.79 3.53 5.29 3.04 4.05 3.48 3.24 Checksum: 73.55 Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. A. Consider the parameter of interest and choose the correct alternate hypothesis. Oμ ≥ 3.5 Oμ / 3.5 Oμ> 3.5 Oμ = 3.5 Ομ<3,5 Op ≤ 3.5 B. Are the necessary conditions present to carry out this inference procedure? Explain in context. Our sample was not larger than 30 in size, but a histogram has a reasonably symmetric bell shape. It is stated that the sample was randomly gathered. O No. The sample is not large enough and the histogram is uniform. Carry out the procedure ("crunch the numbers"): C. Sample mean (rounded to 3 decimal places proeprly): = D. Standard deviation of the sample (rounded to 3 decimal places proeprly): s=
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 3.5 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 3.5 inches. Data (lawn lengths, measured in inches): 3.33 4.02 3.81 4.03 3.60 3.62 3.09 3.01 3.76 3.22 3.73 3.91 4.00 3.79 3.53 5.29 3.04 4.05 3.48 3.24 Checksum: 73.55 Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the file, you may want to save it as an Excel Workbook. A. Consider the parameter of interest and choose the correct alternate hypothesis. Oμ ≥ 3.5 Oμ / 3.5 Oμ> 3.5 Oμ = 3.5 Ομ<3,5 Op ≤ 3.5 B. Are the necessary conditions present to carry out this inference procedure? Explain in context. Our sample was not larger than 30 in size, but a histogram has a reasonably symmetric bell shape. It is stated that the sample was randomly gathered. O No. The sample is not large enough and the histogram is uniform. Carry out the procedure ("crunch the numbers"): C. Sample mean (rounded to 3 decimal places proeprly): = D. Standard deviation of the sample (rounded to 3 decimal places proeprly): s=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 3.5 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 3.5 inches.
Data (lawn lengths, measured in inches):
3.01
3.33 4.02 3.81 4.03 3.60 3.62 3.09
3.76 3.22 3.73 3.91 4.00 3.79 3.53 5.29
3.04 4.05 3.48 3.24
Checksum: 73.55
Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the
file, you may want to save it as an Excel Workbook.
A. Consider the parameter of interest and choose the correct alternate hypothesis.
Ομ. > 3.5
Ομ. +3.5
Oμ> 3.5
Ο μ = 3,5
Oμ< 3.5
Oμ ≤ 3.5
B. Are the necessary conditions present to carry out this inference procedure? Explain in context.
O Our sample was not larger than 30 in size, but a histogram has a reasonably symmetric bell
shape. It is stated that the sample was randomly gathered.
O No. The sample is not large enough and the histogram is uniform.
Carry out the procedure ("crunch the numbers"):
C. Sample mean (rounded to 3 decimal places proeprly): =
D. Standard deviation of the sample (rounded to 3 decimal places proeprly): s
=
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