38. Find the point estimate for the true difference between the given population means. Round your answer to the nearest whole number. X = 50 and 2 = 39 Answer:

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### Statistical Estimation Problems

**Problem 1: Sample Size Estimation**
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.02? Round your answer up to the next integer.

**Answer:** _______________

**Problem 2: Estimating Population Variance**
In a sample of 34 full-size down comforters, the average weight was found to be 34.5 oz with a variance of 2.6.

**Instruction:**
Give a point estimate for the population variance of the weight of the full-size down comforters. Round your answer to two decimal places, if necessary.

**Answer:** _______________

**Problem 3: Estimating Difference Between Population Means**
Find the point estimate for the true difference between the given population means. Round your answer to the nearest whole number.

Given:
\[
\bar{x}_1 = 50 \quad \text{and} \quad \bar{x}_2 = 39
\]

**Answer:** _______________

**Instructor:** MAT 106.04, Professor Felix
Transcribed Image Text:### Statistical Estimation Problems **Problem 1: Sample Size Estimation** How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.02? Round your answer up to the next integer. **Answer:** _______________ **Problem 2: Estimating Population Variance** In a sample of 34 full-size down comforters, the average weight was found to be 34.5 oz with a variance of 2.6. **Instruction:** Give a point estimate for the population variance of the weight of the full-size down comforters. Round your answer to two decimal places, if necessary. **Answer:** _______________ **Problem 3: Estimating Difference Between Population Means** Find the point estimate for the true difference between the given population means. Round your answer to the nearest whole number. Given: \[ \bar{x}_1 = 50 \quad \text{and} \quad \bar{x}_2 = 39 \] **Answer:** _______________ **Instructor:** MAT 106.04, Professor Felix
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