5 tor 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): 3.47 4.13 3.52 3.06 4.67 2.67 3.88 4.03 2.63 4.36 3.91 3.68 3.68 4.38 4.16 2.98 4.84 3.98 4.07 2.86 Checksum: 74.96 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. Ομ < 3.5 Ομ. 73.5 Ο μ > 3.5 Ομ < 3.5 Ομ > 3.5 Ο μ = 3.5 B. Are the necessary conditions present to carry out this inference procedure? Explain in context. No. The sample is not large enough and the histogram is uniform. 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. Carry out the procedure ("crunch the numbers"): C. Sample mean (rounded to 3 decimal places proeprly): =

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B. Are the necessary conditions present to carry out this inference procedure? Explain in context.
No. The sample is not large enough and the histogram is uniform.
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.
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 =
E. Test statistic (rounded to 4 decimal places proeprly): t
F. P-value (rounded to 4 decimal places proeprly):
G. Decision:
TODDLER
Fail to reject the null hypothesis.
Reject the null hypothesis.
H. Write a conclusion in context.
PRETETT
Because our p-value is not less than our level of significance (alpha=0.05), we do not have
sufficient evidence to reject the null hypothesis. We cannot conclude that the overall mean
lawn length is higher than 3.5 inches.
Because our p-value is less than our level of significance (alpha=0.05), we have sufficient
evidence to reject the null hypothesis. The evidence seems to indicate that the overall mean
lawn lengthis higher than 3.5 inches.
Transcribed Image Text:B. Are the necessary conditions present to carry out this inference procedure? Explain in context. No. The sample is not large enough and the histogram is uniform. 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. 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 = E. Test statistic (rounded to 4 decimal places proeprly): t F. P-value (rounded to 4 decimal places proeprly): G. Decision: TODDLER Fail to reject the null hypothesis. Reject the null hypothesis. H. Write a conclusion in context. PRETETT Because our p-value is not less than our level of significance (alpha=0.05), we do not have sufficient evidence to reject the null hypothesis. We cannot conclude that the overall mean lawn length is higher than 3.5 inches. Because our p-value is less than our level of significance (alpha=0.05), we have sufficient evidence to reject the null hypothesis. The evidence seems to indicate that the overall mean lawn lengthis higher than 3.5 inches.
5
tor
Proctorio Practice...
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.
_id=325/118
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):
3.47 4.13 3.52 3.06 4.36 3.91 3.68 3.68
4.38 4.16 2.98 4.84 3.98 4.07 2.86
4.67
2.67 3.88 4.03 2.63
Checksum: 74.96
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.
μ< 3.5
0μ 73.5
Ou 3.5
Ομ < 3.5
Ο μ > 3.5
μ = 3.5
B. Are the necessary conditions present to carry out this inference procedure? Explain in context.
No. The sample is not large enough and the histogram is uniform.
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.
Carry out the procedure ("crunch the numbers"):
C. Sample mean (rounded to 3 decimal places proeprly): x =
Transcribed Image Text:5 tor Proctorio Practice... 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. _id=325/118 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): 3.47 4.13 3.52 3.06 4.36 3.91 3.68 3.68 4.38 4.16 2.98 4.84 3.98 4.07 2.86 4.67 2.67 3.88 4.03 2.63 Checksum: 74.96 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. μ< 3.5 0μ 73.5 Ou 3.5 Ομ < 3.5 Ο μ > 3.5 μ = 3.5 B. Are the necessary conditions present to carry out this inference procedure? Explain in context. No. The sample is not large enough and the histogram is uniform. 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. Carry out the procedure ("crunch the numbers"): C. Sample mean (rounded to 3 decimal places proeprly): x =
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