To test the durability of a new paint for white center lines, a highway department painted teststrips across heavily traveled roads in eight different locations, and electronic counters showedthat they deteriorated after having been crossed by (data in units x 1000):143168137108126134162150The population data for paint duration are normally distributed.a)Why can we assume that the sampling distribution of the mean is normal even thoughthe sample size is only 8?b)Construct a 95% confidence interval for the average amount of traffic (vehicles) the newwhite paint can withstand before it deteriorates. You may use your calculator tocalculate the mean and standard deviation or use the formulas given X =1128 and EX² = 161 682.

Answered: Image /qna-images/answer/ca776c84-4209-41fa-ae1d-7a004b30c12c.jpg

Answered: To test the durability of a new paint…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following is a list of 15 measurements. -16, – 39, -6, -47, 24, –65, – 80, 29, 74, 53, 50, 26, 11, 33, –23 Send data to calculator Send data to Excel Suppose that these 15 measurements are respectively labeled x,, x,, ..., x,5: (Thus, -16 is labeled x,, -39 is labeled x,, and so on.) Compute the following. 15 41 + i = 1
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Consider the patient data in the table below.Suppose that patients are randomly selected withreplacement from the total for hospital 4.What is the smallest sample size needed so that theprobability is at least 90% that at least one patient isLWBS?
Listed below are times (in minutes and seconds) that a statistics instructor recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.10 significance level to test the claim that the samples are from populations with the same median. What do the data suggest? Mile 1 Mile 2 Mile 3 3:18 3:25 3:31 3:14 3:30 3:31 3:15 3:25 3:35 3:20 3:26 3:28 3:16 3:24 3:27 First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. O B. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from populations with equal means. O C. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O D. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that…
Consider the following random sample of data: -7, 5, -1, -1, 8, 1, 7, -4, 8, 80 a) What is the mean of the sample data? Round your response to at least 2 decimal places. Number b) If the outlier is removed, what is the mean of the remaining sample data? Round your response to at least 2 decimal places. Number
Consider a sample with data values of 57,45,50,39,50,59,60, and 48. Compute the following values a. Mode b. 40th percentile c. Variance d. Standard deviation e. Coefficient of variation
A traffic officer suspects that the mean number of car accidents every week is 4. A sample of 16 weeks showed a mean of 7. If the variance of car accidents in the population is 4, then the correct test statistics at 5% significance level is Select one: O a. t= 3 O b. t= 6 O c. Z= 6 O d. Z= 3
For 20 consecutive weeks, a store owner recorded a sample number of customers each week as follows: 300 400 324 326 327 329 415 362 321 375392 383 345 391 395 400 362 396 420 430 Compute for the following:a. Medianb. Sample Variancec. Skewness Coefficient (Use Pearson’s Second Coefficient)
One of the great difficulties a small restaurant manager faces is to pleaseevery customer who differs widely in age. On a randomly selected evening, this restaurant served 12 customers whose ages reported below: 87 58 54 61 3 35 31 28 3 16 68 36 a) What are the mean, median, and mode of the data? b) What measure of central tendency would you use here? Why? c) Find the ve-number summary of the data. ??
To test whether there is a difference in the quality of some ballpoint pens produced by Scribulus, Writine, and Fantapen, random samples from each brand were purchased and the following data were collected: Scribulus Writinc Fantapen number purchased failed to write 41 29 16 300 250 200 Use a 5% level of significance to test whether there is any difference in quality measured by the proportion of pens that failed to write.

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