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, 4.68
b)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]