The specifications for a certain kind of ribbon call for a mean breaking strength of 185 pounds. If five pieces randomly selected from different rolls have breaking strengths of 171.6, 191.8, 178.3, 184.9, and 189.1 pounds, test the null hypothesis \(\mu = 185\) pounds against the alternative hypothesis \(\mu \neq 185\) pounds at the \(0.1\) level of significance.

Given data : 171.6,191.8,178.3,184.9,189.1 α = 0.01

Answered: The specifications for a certain kind…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An Internet service provider is interested in testing to see if there is a difference in the mean weekly connect time for users who come into the service through a dial-up line, DSL, or cable Internet. To test this, the ISP has selected random samples from each category of user and recorded the connect time during a week period. The following data were collected. Click the icon to view the ISP data. Assuming that the test is to be conducted at a 0.01 level of significance, what would the critical value be for this test? ISP data Dial Up 19.2 17.7 17.2 18.9 26.9 22.6 31.2 DSL 40.6 40 41.5 30.5 46.8 Cable 39.5 42.3 47 45.4 41.1 43.2 39.9 41.9 49.3 X
A paint manufacturer wishes to compare the drying times of two different types of paint. Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times (in hours) were recorded. The summary statistics are given in the image below. Use a 0.01 significance level to test the claim that the mean drying time for paint type A is longer than the mean drying time for paint type B. Find each: a) Set up (including Null and Alternative Hypothesis) b) Test Statistic c) P-value d) Conclusion (reject or accept H0).
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In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
Allison's soccer penalty kick speeds vary uniformly between 57 and 78 miles per hour. Round answers to four decimal places. a) What is Allison's average penalty kick speed? b) What proportion of Allison's penalty kicks are faster than 70 miles per hour? [ c) What is the 3rd quartile of the distribution of Allison's penalty kick speeds? d) What is the variance of Allison's penalty kick speeds? e) What is the specific speed that is exceeded by only 11% of Allison's penalty kick speeds? 1) What is the probability that the speed of one of Allison's randomly selected penalty kicks is between 62 and 66 miles per hour?
Q: The dataset (provided below this question) lists the ages of customers at 5 different coffee stores in a major metropolitan city. At the 1% significance level, is there evidence of a difference in the population mean ages between the customers at the five stores. Note: Please only provide the t stat, p-value and the appropraite lower, upper, or two tailed test critical value. Ages of customers in 5 different coffee stores STORE A STORE B STORE C STORE D STORE E 30 33 18 27 34 29 27 32 28 25 21 19 35 27 20 20 40 36 36 45 33 28 15 27 28 29 42 35 29 43 33 34 33 18 35 32 14 23 16 45 8 37 29 18 14 41 23 35 30 28 18 37 40 41 35 21 29 26 38 56 37 41 43 29 33 41 29 23 36 41 39 20 47 29 28 26 25 27 28 32 44 38 40 32 20 14 27 48 42 37 33 38 37 29 31 27 42 41 32 8 35 35 17 26 29 8 23 51 16 13 26 42 36 29 47 20 33 37 38 28 28 16 30 35 47 40 44 42 34 32 22 30 16 26 24 31 35 32 35 23 30 10 22 26 18…
Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)
A food distribution company claims that a restaurant chain receives, on average, 26 pounds of fresh vegetables on a daily basis. The standard deviation of these shipments is known to be 4.4 pounds. The district manager of the restaurant chain decides to randomly sample 35 shipments from the company and finds a mean weight of 24.7 pounds. Test at a 3% level of significance to determine whether or not the food distribution company sends less than 26 pounds of fresh vegetables. a. Check the TWO requirements that are satisfied. The Central Limit Theorem applies. The a distribution is normal since n > 30. The a distribution is normal since the x distribution is normal. The p distribution is normal since np > 5 and nq > 5.

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