The diameter of steel rods manufactured on two dif-ferent extrusion machines is being investigated. Two randomsamples of sizes n = 15 and n2 = 17 are selected, and thesample means and sample variances are x = 8.73, si 0.35,X2 = 8.68, and s3 = 0.40, respectively. Assume that of = o3and that the data are drawn from a normal distribution.Is there evidence to support the claim that the two ma-chines produce rods with different mean diameters?Use a = 0.05 in arriving at this conclusion.

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Answered: The diameter of steel rods manufactured…

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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A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=10 beats per minuteH1: σ≠10 beats per minuteB.H0: σ≠10 beats per minuteH1: σ=10 beats per minuteC.H0: σ≥10 beats per minuteH1: σ<10 beats per minuteD.H0: σ=10 beats per minuteH1: σ<10 beats per minutePart 2b. Compute the test statistic.χ2=enter your response here (Round to three decimal places as needed.)Part 3c. Find the…
A worn, poorly set up machine is observed to produce components whose lengthX follows a normal distribution with mean 13.4 centimeters and variance 5.6. Calculate the probability that a component is at least 15 centimeters long.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 260 engines and the mean pressure was 4 lbs/square inch. Assume the variance is known to be 0.64. If the valve was designed to produce a mean pressure of 4.1 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
A study was conducted to compare to brands of milk. Random sample A of 25 packs of milk with a mean content of 237 grams and standard deviation of 8.56 grams. Another sample B of 20 packs of milk showed a mean content of 240 grams and standard deviation of 9.75 grams. Using 0.05 level of significance will we agree that sample A exceeds that of sample B by 2 grams nutrient content, conduct hypothesis testing assuming that variances are equal.
A simple random sample of 30 men from a normally distributed population results in a standard deviation of 10.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 10 beats per minute O B. Ho: o2 10 beats per minute H: o<10 beats per minute H,: o< 10 beats per minute OC. Ho: o 10 beats per minute O D. Ho: o = 10 beats per minute H4: 0 = 10 beats per minute H: o# 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places needed. d. State…
A factory produces tables which are claimed on average to have a length of 150.0 cm. Assume the standard deviation is known to be a = 0.6 cm, and that the length of tables is normally distributed. The factory's manager wants to carry out a test of: Ho : = = 150.0 vs. H₁ < 150.0 at the 10% significance level. Determine the sample size which is necessary for the test to have 99% power if the true mean length is 149.7 cm.
The mean fineness of yarn is expected to be greater than the standard value of 5 units. To test this claims, the factory graded 16 specimens of the yarn and found the sample mean to be 5.9 units. Assume that the measurement of fineness is normally distributed with a variance of 4.0. We can state (exactly one option is correct) The p-value is 0.1632 and there is strong evidence that the mean exceeds by 5 units at 17% level of significance. The p-value is 0.0002 and there is strong evidence that the mean exceeds 5 units at 1% level of significance. The p-value is 0.3264 which indicates the data are consistent with a mean of 5 units at 35% level of significance.
have a standard deviation of 2.40 and a variance of 5.78 is this considered high or low and will the distribution be peaked or Platykurtic?
A simple random sample of 43 men from a normally distributed population results in a standard deviation of 11.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.
In the manufacture of steel rollers to fit an assembly, the external diameter is considered to be a random variable with mean equal to 23 mm and variance equal to 0.0036 cm2. 1.5 is supported standard deviations more than the mean and 3.5 standard deviations below average. A piece with a diameter below such specifications is considered waste, whereas a piece with a diameter larger than specified must be reprocessed. Which is the percentage of pieces that:to. They are being wasted.b. They need to be reprocessed.c. Acceptable.d. If you want to establish that the reprocessing is 5% of the rollers and waste of 1%, than specification limit would recommend.
A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 61 doors is made, and it is found that they have a mean of 2044 millimeters with a variance of 729. Is there evidence at the 0.05 level that the doors are either too long or too short? State the null and alternative hypotheses for the above scenario.
Sgdhfjyjygfgdvdvrhhti5oyoggadadsbgngbdfegrhfgrhefefegthgjglhlyhsdCfbvngkyhadafdhfjgkghadqsagdjgkhdvsvdbgnfvsvdbdbdbdbfbdvdgdgeggdgc fsvdbfhth sbdvdgrgrhg13. Six random determinations of sulfur content in steel at a particular point in a process gave the values 3.07, 3.11, 3.14, 3.24, 3.16, and 3.08. Assume the values are normally distributed. A previous study based on a sample of 21 random observations gave an estimate of variance of 1.51 × 10–3. Use the 10% level of significance. a. Compute for the new sample variance. b. Using the variance ratio, is the variance significantly higher now? Justify your answer.grhhjhmhbdcscfngbsvngbevfngnfjgjyoisfaxacsvdbfhfbdvsvsvdvdvdbdbźvdbfngnmklljfhsfadsfsvdbfbfngngkyoosdadwdsvdbfnfnfjgnjfjdvevdbbfngntjfhrhrhdgdgdvdhdhdbgdvgdfbfhfhtj

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