Q:

The following data represent the pH of rain for a random sample of 12 rain dates. a normal probability plot suggest the data could come from a population that is normally distributed. a boxplot indicates there are no outline. complete part A through d.a)determine a point estimate for the population mean. 5.20, 5.02, 4.87, 5.72, 4.57, 4.76, 4.99, 4.74, 4.56, 4.80, 5.19, 4.68b)construct and Interpret a 95% confidence interval for the mean pH of rainwater. select the correct choice below and fill in the answer boxes to complete your choice.A) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].B)there is a 95% chance that the true mean pH of rain water is between [ ] & [ ].C) there is 95% confidence that the population mean pH of rain water is between [ ] & [ ].c) construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct Choice below and fill in answer boxes to complete your choice.A)there is 99% confidence that the population mean pH of rain water is between [ ] & [ ].B)there is a 99% chance that the true mean pH of rain water is between [ ] & [ ].C)if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].d) what happens to the interval as the level of confidence is changed? Explain why is a logical result.-As the level of confidence increases l, the width of the interval[ increases, decreases] this makes sense since the [ point estimate, sample size, margin of error] [decreases, increases]

Accepted Solution

A:
Answer:Step-by-step explanation:a) Estimate for population mean = Sum/n =[tex]\frac{59.1}{12} =4.925[/tex]b) Variance = 0.099208Std dev = 0.314974Std error = 0.0950For 95% margin of error = 1.96*Std error=0.1861Confidence interval = [tex](4.925-0.1861, 4.925+0.1861)\\=(4.7389, 5.1111)[/tex]Interpretation of confidence interval:A) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].For 99%  CI,  z value = 2.59Conf interval = (4.6790, 5.1710)C)if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].As the level of confidence increases l, the width of the interval[ increases] this makes sense since the [  margin of error] [increases]