A sample of 17 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.13 ounces. The population standard deviation is known to be 0.1 ounce.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 98% confidence interval for the population mean weight of the candies.(i) State the confidence interval. (Round your answers to three decimal places.)(ii) Sketch the graph.C.L. =O2(iii) Calculate the error bound. (Round your answer to three decimal places.) Construct a 90% confidence interval for the population mean weight of the candies.(i) State the confidence interval. (Round your answers to three decimal places.)(ii) Sketch the graph.aaC.L. =22(iii) Calculate the error bound. (Round your answer to three decimal places.)

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Answered: A sample of 17 small bags of the same…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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A sample of 17 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.13 ounces. The population standard deviation is known to be 0.1 ounce.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Construct a 98% confidence interval for the population mean weight of the candies.
(i) State the confidence interval. (Round your answers to three decimal places.)
(ii) Sketch the graph.
C.L. =
O
2
(iii) Calculate the error bound. (Round your answer to three decimal places.)

Construct a 90% confidence interval for the population mean weight of the candies.
(i) State the confidence interval. (Round your answers to three decimal places.)
(ii) Sketch the graph.
a
a
C.L. =
2
2
(iii) Calculate the error bound. (Round your answer to three decimal places.)

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.

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