A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=183, x=5.84, s=1.92. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=183, x=5.84, s=1.92. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
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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A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are
n=183,
x=5.84,
s=1.92.
Use a
0.01
significance level to test the claim that the population mean of such ratings is less than
6.00.
Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.What are the null and alternative hypotheses?
H0:
μ<6.00
H1:
μ>6.00
H0:
μ=6.00
H1:
μ≠6.00
H0:
μ=6.00
H1:
μ>6.00
H0:
μ=6.00
H1:
μ<6.00
Determine the test statistic.
nothing
(Round to two decimal places as needed.)
![A data set about speed dating includes "like" ratings of male dates made by female dates. The summary statistics are \( n = 183, \overline{x} = 5.84, s = 1.92 \). Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
**What are the null and alternative hypotheses?**
- **A.** \( H_0: \mu < 6.00 \)
\( H_1: \mu \ge 6.00 \)
- **B.** \( H_0: \mu = 6.00 \)
\( H_1: \mu \neq 6.00 \)
- **C.** \( H_0: \mu = 6.00 \)
\( H_1: \mu > 6.00 \)
- **D.** \( H_0: \mu = 6.00 \)
\( H_1: \mu < 6.00 \)
**Determine the test statistic.**
*(Round to two decimal places as needed.)*
**Determine the P-value.**
*(Round to three decimal places as needed.)*
**State the final conclusion that addresses the original claim.**
[Drop-down options for conclusion:]
- [Fail to Reject or Reject] \( H_0 \). There is [sufficient or insufficient] evidence to conclude that the mean of the population of ratings is [less than, not equal to, greater than] 6.00.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75dae615-689e-4398-9c82-2dfb5974be65%2F72d08dad-6cda-4b0c-a833-a15579cefc50%2F1x7f3m9_processed.png&w=3840&q=75)
Transcribed Image Text:A data set about speed dating includes "like" ratings of male dates made by female dates. The summary statistics are \( n = 183, \overline{x} = 5.84, s = 1.92 \). Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
**What are the null and alternative hypotheses?**
- **A.** \( H_0: \mu < 6.00 \)
\( H_1: \mu \ge 6.00 \)
- **B.** \( H_0: \mu = 6.00 \)
\( H_1: \mu \neq 6.00 \)
- **C.** \( H_0: \mu = 6.00 \)
\( H_1: \mu > 6.00 \)
- **D.** \( H_0: \mu = 6.00 \)
\( H_1: \mu < 6.00 \)
**Determine the test statistic.**
*(Round to two decimal places as needed.)*
**Determine the P-value.**
*(Round to three decimal places as needed.)*
**State the final conclusion that addresses the original claim.**
[Drop-down options for conclusion:]
- [Fail to Reject or Reject] \( H_0 \). There is [sufficient or insufficient] evidence to conclude that the mean of the population of ratings is [less than, not equal to, greater than] 6.00.
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