Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-interval procedure to find the 95% confidence interval X = 73.4, s, = 10.9, n, = 16, x2 = 68.9, s2 = 8.2, n2 = 12 ...... O A. - 1.98 to 10.98 O B. - 1.66 to 10.66 O C. - 3.34 to 12.34 O D. - 2.92 to 11.92

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### Summary Statistics for Two Independent Samples

Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-interval procedure to find the 95% confidence interval.

- **Sample 1**
  - Mean (\(\bar{x}_1\)): 73.4
  - Standard Deviation (\(s_1\)): 10.9
  - Sample Size (\(n_1\)): 16

- **Sample 2**
  - Mean (\(\bar{x}_2\)): 68.9
  - Standard Deviation (\(s_2\)): 8.2
  - Sample Size (\(n_2\)): 12

### Options for the 95% Confidence Interval

A. \(-1.98 \text{ to } 10.98\)

B. \(-1.66 \text{ to } 10.66\)

C. \(-3.34 \text{ to } 12.34\)

D. \(-2.92 \text{ to } 11.92\)

Please select the appropriate confidence interval based on the data provided.
Transcribed Image Text:### Summary Statistics for Two Independent Samples Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-interval procedure to find the 95% confidence interval. - **Sample 1** - Mean (\(\bar{x}_1\)): 73.4 - Standard Deviation (\(s_1\)): 10.9 - Sample Size (\(n_1\)): 16 - **Sample 2** - Mean (\(\bar{x}_2\)): 68.9 - Standard Deviation (\(s_2\)): 8.2 - Sample Size (\(n_2\)): 12 ### Options for the 95% Confidence Interval A. \(-1.98 \text{ to } 10.98\) B. \(-1.66 \text{ to } 10.66\) C. \(-3.34 \text{ to } 12.34\) D. \(-2.92 \text{ to } 11.92\) Please select the appropriate confidence interval based on the data provided.
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