Potatoes The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 21.0 , 21.5 , 20.5 , and 21.2 pounds. Assume Normality. a. Find a 95 % confidence interval for the mean weight of all bags of potatoes. b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20 pounds?
Potatoes The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 21.0 , 21.5 , 20.5 , and 21.2 pounds. Assume Normality. a. Find a 95 % confidence interval for the mean weight of all bags of potatoes. b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20 pounds?
Solution Summary: The author explains how to determine the confidence interval for a population mean using Minitab.
Potatoes The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be
21.0
,
21.5
,
20.5
,
and
21.2
pounds. Assume Normality.
a. Find a
95
%
confidence interval for the mean weight of all bags of potatoes.
b. Does the interval capture
20.0
pounds? Is there enough evidence to reject a mean weight of 20 pounds?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
Elementary Statistics: Picturing the World (7th Edition)
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