Quick note for Excel users: Excel analyzes using first variable minus second variable. If need help, watch the video at the bottom. 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 2.5 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 2.5 inches. Data (lawn lengths, measured in inches): 2.46 2.64 3.96 4.58 3.34 3.97 3.88 4.22 3.09 3.39 4.53 3.30 2.98 3.10 2.58 3.44 Checksum: 59.34 3.88 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 alternative hypothesis. =2.5 >2.5 Oμ2.5 Ομ < 2.5 Ομ < 2.5 Ο μ > 2.5 B. Are the necessary conditions present to carry out this inference procedure? Explain in context. Yes. Our sample was not larger than 30 in size, but the histogram of the data has a reasonably symmetric bell-shape. It is stated that the sample was randomly gathered. No. The sample is not large enough and the histogram of the data is not roughly bell-shape. Carry out the procedure ("crunch the numbers"): c. Sample mean (rounded to 3 decimal places proeprly): z D. Standard deviation of the sample (rounded to 3 decimal places properly): a= Enter an integer or decimal number more.. Hint: Remember, the variance or standard error is not the standard deviation. Variance Standard Deviation?. E. Test statistic (rounded to 4 decimal places properly): t= F. P-value (rounded to 4 decimal places properly): This p-value is the probability of finding a random sample of size 17 with a mean of what we got here or more extreme value if the population mean was G. Decision: Fail to reject the null hypothesis. Reject the null hypothesis. Type here to search PRO6S
Quick note for Excel users: Excel analyzes using first variable minus second variable. If need help, watch the video at the bottom. 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 2.5 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 2.5 inches. Data (lawn lengths, measured in inches): 2.46 2.64 3.96 4.58 3.34 3.97 3.88 4.22 3.09 3.39 4.53 3.30 2.98 3.10 2.58 3.44 Checksum: 59.34 3.88 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 alternative hypothesis. =2.5 >2.5 Oμ2.5 Ομ < 2.5 Ομ < 2.5 Ο μ > 2.5 B. Are the necessary conditions present to carry out this inference procedure? Explain in context. Yes. Our sample was not larger than 30 in size, but the histogram of the data has a reasonably symmetric bell-shape. It is stated that the sample was randomly gathered. No. The sample is not large enough and the histogram of the data is not roughly bell-shape. Carry out the procedure ("crunch the numbers"): c. Sample mean (rounded to 3 decimal places proeprly): z D. Standard deviation of the sample (rounded to 3 decimal places properly): a= Enter an integer or decimal number more.. Hint: Remember, the variance or standard error is not the standard deviation. Variance Standard Deviation?. E. Test statistic (rounded to 4 decimal places properly): t= F. P-value (rounded to 4 decimal places properly): This p-value is the probability of finding a random sample of size 17 with a mean of what we got here or more extreme value if the population mean was G. Decision: Fail to reject the null hypothesis. Reject the null hypothesis. Type here to search PRO6S
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
Related questions
Question

Transcribed Image Text:Quick note for Excel users: Excel analyzes using first variable minus second variable. If need help,
watch the video at the bottom.
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 2.5 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 2.5 inches.
Data (lawn lengths, measured in inches):
2.46 2.64 3.96 4.58 3.34 3.97 3.88 4.22
3.09 3.39 4.53 3.30 2.98 3.10 2.58
3.44
Checksum: 59.34
3.88
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 alternative hypothesis.
=2.5
>2.5
Oμ2.5
Ομ < 2.5
Ομ < 2.5
Ο μ > 2.5
B. Are the necessary conditions present to carry out this inference procedure? Explain in context.
Yes. Our sample was not larger than 30 in size, but the histogram of the data has a reasonably
symmetric bell-shape. It is stated that the sample was randomly gathered.
No. The sample is not large enough and the histogram of the data is not roughly bell-shape.
Carry out the procedure ("crunch the numbers"):
c. Sample mean (rounded to 3 decimal places proeprly): z
D. Standard deviation of the sample (rounded to 3 decimal places properly): a=
Enter an integer or decimal number more..
Hint: Remember, the variance or standard error is not the standard deviation.
Variance Standard Deviation?.
E. Test statistic (rounded to 4 decimal places properly): t=
F. P-value (rounded to 4 decimal places properly):
This p-value is the probability of finding a random sample of size 17 with a mean of what we got here
or more extreme value if the population mean was
G. Decision:
Fail to reject the null hypothesis.
Reject the null hypothesis.
Type here to search
PRO6S
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