Summary statistics are given below for independent simple random samples from two populations, Use the pooled t-interval procedure to find the 95% confidence interval. Round to two decimal places. x = 11.4, s, = 4.2, n, = 14, x2 16.7, s2 = 4.9, n2 = 17 A. -8.12 to -2.48 O B. - 8.82 to - 1.78 O C. - 8.69 to - 1.91 O D. -8.98 to - 1.62 O O O O

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**Summary Statistics for Two Independent Samples**

The table below provides summary statistics for independent simple random samples taken from two different populations. You are required to use the pooled t-interval procedure to determine the 95% confidence interval. Please round your final answer to two decimal places.

- Sample 1: 
  - Mean (\( x_1 \)): 11.4 
  - Standard Deviation (\( s_1 \)): 4.2 
  - Sample Size (\( n_1 \)): 14

- Sample 2:
  - Mean (\( x_2 \)): 16.7
  - Standard Deviation (\( s_2 \)): 4.9
  - Sample Size (\( n_2 \)): 17

**Options for the 95% Confidence Interval:**

- A: \(-8.12\) to \(-2.48\)
- B: \(-8.82\) to \(-1.78\)
- C: \(-8.69\) to \(-1.91\)
- D: \(-8.98\) to \(-1.62\)
Transcribed Image Text:**Summary Statistics for Two Independent Samples** The table below provides summary statistics for independent simple random samples taken from two different populations. You are required to use the pooled t-interval procedure to determine the 95% confidence interval. Please round your final answer to two decimal places. - Sample 1: - Mean (\( x_1 \)): 11.4 - Standard Deviation (\( s_1 \)): 4.2 - Sample Size (\( n_1 \)): 14 - Sample 2: - Mean (\( x_2 \)): 16.7 - Standard Deviation (\( s_2 \)): 4.9 - Sample Size (\( n_2 \)): 17 **Options for the 95% Confidence Interval:** - A: \(-8.12\) to \(-2.48\) - B: \(-8.82\) to \(-1.78\) - C: \(-8.69\) to \(-1.91\) - D: \(-8.98\) to \(-1.62\)
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