Hypothesis testing for a grocery store and national safety council
Not what you're looking for?
Each part (a-d) of this problem gives the population standard deviation σ;, the statement of a claim about μ, the sample size n, the desired level of significance α. Formulate
(i) the hypotheses,
(ii) the test statistic Z,
(iii) the rejection region.
the answers to part (a) are provided.
(a) σ = 2 claim: μ > 30, n = 55, α = .05
(b) σ = .085 claim: μ < .15 n = 125 α = .025
(c) σ = 8.6 claim μ≠ 80 n = 38 α = .01
(d) σ = 1.23 claim μ ≠ 0 n = 40 α = .06
6.A sample of 40 sales receipts from a grocery store has x = $141 and s= $30.2. Use these values to perform a test of Ho:μ = 150 against Ha:μ <150 with α = .05.
7.Calculating from a random sample of 36 observations, one obtains the results x = 80.4 and s=16.2. In the context of each of the following hypothesis testing problems, determine the P-value o these results and state whether or not it signifies a strong rejection of Ho:
(a) To test Ho:μ = 74 versus μ > 74
(b) To test Ho:μ = 85 versus Ha:μ < 85
(c) To test Ho:μ =76 versus Ha:μ≠ 76
8.A national safety council wishes to estimate the proportion of automobile accidents that involve pedestrians. How large a sample of accident records must be examined to be 98% certain that the estimate does not differ from the true proportion by more than .03? (The council believes that the true proportion is below .25)
Purchase this Solution
Solution Summary
The solution explains how to formulate hypothesis tests, calculate p-values, and test statistics in four questions referring to a grocery store chain and a national safety council.
Solution Preview
Please see the attached file.
5. NOTE: o represents null
Each part (a-d) of this problem gives the population standard deviation σ, the statement of a claim about μ, the sample size n, the desired level of significance α. Formulate
(i) the hypotheses,
(ii) the test statistic Z,
(iii) the rejection region.
the answers to part (a) are provided.
(a) σ = 2 claim: μ > 30, n = 55, α = .05
(i) H0: μ = 30, H1: μ > 30
(ii) Z=
(iii) R: Z ≥ 1.645
(b) σ = .085 claim: μ < .15 n = 125 α = .025
(i) H0: μ = .15, H1: μ < .15
(ii) Z=
(iii) R: Z -1.96
(c) σ = 8.6 claim μ ≠ 80 n = 38 ...
Purchase this Solution
Free BrainMass Quizzes
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.
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.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.