I need the questions answered with the (((((((RED X'S)))))))))) **Analysis of Bottled Water Consumption in St. Paul****Background**Research shows that 40% of Americans drink bottled water more than once a week according to the Natural Resources Defense Council (December 4, 2015). This analysis investigates bottled water consumption in St. Paul. A sample of St. Paulites is used to estimate the drinking habits comparable to the national average of 0.41. The Z-table is utilized for calculations.**Tasks and Calculations****a. Sample Proportion Distribution (Sample size: 540)** - Expected Mean ($E(\bar{p})$): **0.41** - Standard Error ($\sigma_{\bar{p}}$): **[Not Provided]****b. Probability Calculation (Sample size: 540)** - What is the probability that the sample proportion will be within 0.07 of the population proportion? - Probability: **[Not Provided]****c. Sample Proportion Distribution (Sample size: 210)** - Expected Mean ($E(\bar{p})$): **0.41** - Standard Error ($\sigma_{\bar{p}}$): **[Not Provided]****d. Probability Calculation (Sample size: 210)** - What is the probability that the sample proportion will be within 0.07 of the population proportion? - Probability: **0.9858****e. Gain in Precision** - How much gain in precision is achieved by opting for the larger sample size? - Precision Improvement: **Reduced by [Not Provided]****Summary**This exercise explores the statistical analysis of sampling distributions and probabilities related to bottled water consumption in St. Paul. Different sample sizes affect the precision of the estimates, highlighting the importance of sample size in statistical inference.

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Fourty percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.41, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 sSt.Paulites. Show the sampling distribution of p (to 4 decimals). E(F) 0.41 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.07 of the population proportion (to 4 decimals). probability = c. Suppose you select a sample of 210 sSt.Paulites. Show the sampling distribution of p (to 4 decimals). E(F) = 0.41 oF =

Fourty percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the population proportion of St. Paulites who drink bottled water more than once a week is 0.41, the same as the overall proportion of Americans who drink bottled water more than once a week. Use z-table. a. Suppose you select a sample of 540 sSt.Paulites. Show the sampling distribution of p (to 4 decimals). E(F) 0.41 b. Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.07 of the population proportion (to 4 decimals). probability = c. Suppose you select a sample of 210 sSt.Paulites. Show the sampling distribution of p (to 4 decimals). E(F) = 0.41 oF =

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**Analysis of Bottled Water Consumption in St. Paul**

**Background**
Research shows that 40% of Americans drink bottled water more than once a week according to the Natural Resources Defense Council (December 4, 2015). This analysis investigates bottled water consumption in St. Paul. A sample of St. Paulites is used to estimate the drinking habits comparable to the national average of 0.41. The Z-table is utilized for calculations.

**Tasks and Calculations**

**a. Sample Proportion Distribution (Sample size: 540)**
- Expected Mean ($E(\bar{p})$): **0.41**
- Standard Error ($\sigma_{\bar{p}}$): **[Not Provided]**

**b. Probability Calculation (Sample size: 540)**
- What is the probability that the sample proportion will be within 0.07 of the population proportion?
- Probability: **[Not Provided]**

**c. Sample Proportion Distribution (Sample size: 210)**
- Expected Mean ($E(\bar{p})$): **0.41**
- Standard Error ($\sigma_{\bar{p}}$): **[Not Provided]**

**d. Probability Calculation (Sample size: 210)**
- What is the probability that the sample proportion will be within 0.07 of the population proportion?
- Probability: **0.9858**

**e. Gain in Precision**
- How much gain in precision is achieved by opting for the larger sample size?
- Precision Improvement: **Reduced by [Not Provided]**

**Summary**
This exercise explores the statistical analysis of sampling distributions and probabilities related to bottled water consumption in St. Paul. Different sample sizes affect the precision of the estimates, highlighting the importance of sample size in statistical inference.

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