Hypothesis Testing of Population Proportion & Control chart
Not what you're looking for?
9.8 Calculate the test statistic and p-value for each sample.
a. H0: π ≤ .60 versus H1: π > .60, α = .05, x = 56, n = 80
b. H0: π = .30 versus H1: π = .30, α = .05, x = 18, n = 40
c. H0: π ≥ .10 versus H1: π < .10, α = .01, x = 3, n = 100
9.12 The Tri-Cities Tobacco Coalition sent three underage teenagers into various stores in Detroit and Highland Park to see if they could purchase cigarettes. Of 320 stores checked, 82 sold cigarettes to teens between 15 and 17 years old.
(a) If the goal is to reduce the percent to 20 percent or less, does this sample show that the goal is not being achieved at α = .05 in a right-tailed test?
(b) Construct a 95 percent confidence interval for the true percent of sellers who allow teens to purchase tobacco.
17.12 What is the difference between an attribute control chart and a variable control chart?
17.18 Set up control limits for an ¯ x chart, given ¯¯ x = 400, ¯R = 5, and n = 4.
17.20 To print 8.5 × 5.5 note pads, a copy shop uses standard 8.5 × 11 paper, glues the long edge, then cuts the pads in half so that the pad width is 5.5 inches. However, there is variation in the cutting process. Set up a control chart for the mean width of a note pad, assuming that, in the future, pads will be sampled in random subgroups of 5 pads. Use this sample of 40 observations (widths in inches) to estimate μ and σ.
NotePads
5.52 5.57 5.44 5.47 5.52 5.46 5.43 5.45
5.49 5.47 5.48 5.51 5.53 5.53 5.48 5.47
5.59 5.51 5.43 5.48 5.53 5.50 5.49 5.52
5.46 5.46 5.56 5.54 5.47 5.44 5.53 5.58
5.55 5.56 5.47 5.44 5.55 5.42 5.45 5.54
Purchase this Solution
Solution Summary
The solution provides step by step method for the calculation of testing of hypothesis of population proportion and control charts. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.