The times of first sprinkler activation for a series of tests (n = 13) with fire prevention sprinklesystems using an aqueous film-forming were (in sec).28 42 23 28 24 36 31 34 25 28 29 23 25Results derived from the data: sample mean = 28.923; sample standard deviation = 5.6193.The system has been designed so that true average activation time is at most 25 sec undersuch conditions. Does the data strongly contradict the validity of this design specification?Test the relevant hypotheses at significance level .05 using the P-value approach.Define the hypothesis test:Ho HHa HSketch a bell-shaped curve like that shown, and clearly define the "Reject" and "Do NotReject" areas of the curve, along with the critical value(s) of the test statistic based on thesignificance level.Raw250Clearly define and compute the value of the appropriate test statistic based on the data(express your answer using 3 decimal places: x.XXX).0Based on the tables, list the upper and lower bounds of the p-value associated with thisvalue of your test statistic? Note: you do not need to interpolate to find the p-value.< p <Clearly state your conclusion with respect to the null hypothesis Ho.

Given information:- x̄ (sample mean) = 28.923- s (sample standard deviation) = 5.6193- n (sample…

Answered: The times of first sprinkler activation…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inches, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. (Data are shown in images)
An operations specialist has measured the standard deviation of all parts for a process to be 0.002921374. The sample size is five parts. What is the estimated standard deviation for the X̄-chart? a. 0.000292137 b. 0.000584275 c. 0.000923820 d. 0.001306478 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
The specific gravities of a simple random sample of 91 samples of a particular wort has a mean x ̄ = 1.05 platos and a standard deviation sx = 0.16 platos. Use a 0.05 significance level to test the claim that the mean specific gravity of this wort is less than 1.10.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Zo = - 1.65 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. B. O C. Fail to reject H- Fail to reject Ho Fail to reject Ho- Reject Ho Reject Ho Reject Ho Reject H,- -4
It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 50 healthy adults 1 to 4 times daily for 3 days, obtaining 225 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 0.9°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a = 0.01 level of significance. State the hypotheses. Ho: H = 98.6°F H,: H < 98.6°F Find the test statistic, to = (Round to two decimal places as needed.)
A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
The slant shear test is widely accepted for evaluating the bond of resinous repair materials to concrete; it utilizes cylinder specimens made of two identical halves bonded at 30°. An article reported that for 12 specimens prepared using wire-brushing, the sample mean shear strength (N/mm2) and sample standard deviation were 18.60 and 1.56, respectively, whereas for 12 hand-chiseled specimens, the corresponding values were 23.19 and 4.07. Does the true average strength appear to be different for the two methods of surface preparation? State and test the relevant hypotheses using a significance level of 0.05. (Use ?1 for wire-brushing and ?2 for hand-chiseling.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≤ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = You may have computed…
A $360,000 building depreciates over time. The value y of the building after x months of use is given by the function: y = 360,000 - 1500x graph this function x greater than or equal to 0 how long until the building completely depreciated what does (60, 270,000) point mean on the graph
2. Traces of toxic, man-made hexachlorohexanes in North Sea sediments were extracted by a known process and by two new procedures, and measured by chromatography. Method Concentration found Conventional Procedure A (pg/g) 34.4 42.9 Standard deviation (pg/g) 3.6 1.2 Number of replications 6 6 a.) Is the standard deviation for procedure A significantly different from that of the conventional procedure at 95% confidence level? b.) Is the mean concentration found by procedure A significantly different from that of the conventional procedure at 95% confidence level?

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