A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n= 192, x = 5.83, s 1.93. 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? O A. Ho: = 6.00 H: u#6.00 O B. Ho: H=6.00 H: µ> 6.00 OC. Ho: H= 6.00 H1: u<6.00 O D. Ho: H<6.00 H,: u> 6.00 Determine the test statistic. O(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. V Họ. There is evidence to conclude that the mean of the population of ratings is 6.00

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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: \( n = 192 \), \( \overline{x} = 5.83 \), \( s = 1.93 \). 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.**
  - \( H_0: \mu = 6.00 \)
  - \( H_1: \mu \neq 6.00 \)

- **B.**
  - \( H_0: \mu = 6.00 \)
  - \( H_1: \mu > 6.00 \)

- **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.
- \( \Box \) \( H_0: \) There is [Dropdown Menu] evidence to conclude that the mean of the population of ratings is [Dropdown Menu] 6.00.
Transcribed Image Text:A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are: \( n = 192 \), \( \overline{x} = 5.83 \), \( s = 1.93 \). 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.** - \( H_0: \mu = 6.00 \) - \( H_1: \mu \neq 6.00 \) - **B.** - \( H_0: \mu = 6.00 \) - \( H_1: \mu > 6.00 \) - **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. - \( \Box \) \( H_0: \) There is [Dropdown Menu] evidence to conclude that the mean of the population of ratings is [Dropdown Menu] 6.00.
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