A leading agricultural company must maintain strict control over the size, weight, and number of seeds they package for sale to customers. The packages are said to contain 25 seeds. A random sample of 32 randomly packages of seeds yielded an average of 27.6 seeds with standard error 1.3081. (a) Which of the following hypotheses should be used to test if the average number of seeds is greater than the advertised number? O Ho: 25 vs. H₂: > 25 O Ho: x = 25 vs. H₂: x > 25 O Ho: 27.6 vs. H₂: > 27.6 O Ho: 27.6 vs. H₂: +27.6 = O Ho: x = 27.6 vs. H₂: x > 27.6 (b) What is the test statistic? x (Use 4 decimals) (c) With P-value = 0.028 and α = 0.05, what is the correct conclusion? O Do not reject Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Reject Ho. There is insufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Do not reject Ho. There is insufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Accept Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Reject Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. (d) This hypothesis testing procedure is: Onot valid, because we don't know whether or not the data from the sample of seeds is nearly normal. not valid, because we don't know whether or not the population of the number of seeds is nearly normal. valid, because n ≥ 30 so the Nearly Normal condition is satisfied. valid, because np≥15 and nq≥15, so the sufficient sample size condition is satisfied.
A leading agricultural company must maintain strict control over the size, weight, and number of seeds they package for sale to customers. The packages are said to contain 25 seeds. A random sample of 32 randomly packages of seeds yielded an average of 27.6 seeds with standard error 1.3081. (a) Which of the following hypotheses should be used to test if the average number of seeds is greater than the advertised number? O Ho: 25 vs. H₂: > 25 O Ho: x = 25 vs. H₂: x > 25 O Ho: 27.6 vs. H₂: > 27.6 O Ho: 27.6 vs. H₂: +27.6 = O Ho: x = 27.6 vs. H₂: x > 27.6 (b) What is the test statistic? x (Use 4 decimals) (c) With P-value = 0.028 and α = 0.05, what is the correct conclusion? O Do not reject Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Reject Ho. There is insufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Do not reject Ho. There is insufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Accept Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. Reject Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds. (d) This hypothesis testing procedure is: Onot valid, because we don't know whether or not the data from the sample of seeds is nearly normal. not valid, because we don't know whether or not the population of the number of seeds is nearly normal. valid, because n ≥ 30 so the Nearly Normal condition is satisfied. valid, because np≥15 and nq≥15, so the sufficient sample size condition is satisfied.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Transcribed Image Text:A leading agricultural company must maintain strict control over the size, weight, and number of seeds they package for sale to customers. The packages are said to contain 25 seeds. A random
sample of 32 randomly packages of seeds yielded an average of 27.6 seeds with standard error 1.3081.
(a) Which of the following hypotheses should be used to test if the average number of seeds is greater than the advertised number?
Ho: M=25 vs. Ha: μ > 25
O Ho: X 25 vs. H₂: x > 25
O Ho: 27.6 vs. H₂: > 27.6
=
O Ho: 27.6 vs. Ha: μ # 27.6
O Ho: x 27.6 vs. Ha: x > 27.6
=
(b) What is the test statistic?
X (Use 4 decimals)
(c) With P-value = 0.028 and α = 0.05, what is the correct conclusion?
Do not reject Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds.
O Reject Ho. There is insufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds.
Do not reject Ho. There is insufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds.
Accept Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds.
Reject Ho. There is sufficient evidence that the average number of seeds in the packages is greater than the advertised number of seeds.
(d) This hypothesis testing procedure is:
O not valid, because we don't know whether or not the data from the sample of seeds is nearly normal.
not valid, because we don't know whether or not the population of the number of seeds is nearly normal.
valid, because n ≥ 30 so the Nearly Normal condition is satisfied.
O valid, because np≥15 and nq≥15, so the sufficient sample size condition is satisfied.
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