Description
(1). The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-quart bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the population standard deviation for 2-quart bottles is .2 quart. A random sample of 100 2-quart bottles obtained from this bottling plant indicated a sample mean of 1.95 quarts. Is the population mean filling weight of 2-quarts being maintained by this process? Conduct an appropriate test of hypothesis for the population mean using an alpha level of .05.a. Write the null and alternative hypotheses.b. State the rejection rule for the null hypothesis using the âcritical value method to test hypothesisâ.c. State the rejection rule for the null hypothesis using the âp-value method to test hypothesisâd. Determine the value of the test statistic from the MINITAB output.e. Determine the p-value from the MINITAB output.f. State your statistical conclusion as it relates to the problem and in words relating to the problem.(2). The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-quart bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the population standard deviation for 2-quart bottles is .25 quart. A random sample of 100 is taken and results in a sample mean of 1.98 quarts.a. Determine a point estimate for the population mean amount of soft drink in the bottles.b. Construct a 95% confidence interval for the population mean amount of soft drink in the bottles.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
