b) A manufacturer claims that the average thickness of their chewing gum is 20mm. A qualitycontrol engineer wishes to check this claim and measures the average thickness of a sampleof 10 pieces of gum, finding x = 18.6mm and s = 4mm. Does the sample seem to indicatethat the average thickness of their chewing gum is not 20mm? Use a 0.05 level of significance.Circle the correct null and alternative hypotheses.i)H : μ = 20:Нo μ = 20Η : μ < 20H₁ μ 20Нo μ = 20H₁ μ> 20ii)What is the probability of making a Type Ierror?iii)Which test statistic will you use? Circle your answer.ᏃTiv)x²Calculate the value of the test statistic for the quality control engineer's sample.v)Determine the critical value of the test statistic. Do not round or truncate.vi) Determine the P-value.vii)What is the conclusion?Accept HoReject HoFail to reject HoCircle your response.viii)Does the sample seem to indicate that theaverage thickness of their chewing gum is not20mm? Circle your response.YESNO

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Answered: b) A manufacturer claims that the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose a set of data has mean u = 29 and standard deviation o=1.2. (Give answers accurate to three decimal places.) a. What is the z-score for the data value z = 31? b. What is the z-score for the data value z = 26? C. What data value corresponds to the z-score: z = 1.6? d. What data value corresponds to the z-score: z =-1.1?
The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curv Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct. A 19.1% B 30.9% C 38.2% D 69.1% E 68.27% A The percentage of people with blood pressure between 130 and 150 mm. B The percentage of people with blood pressure between 140 and 150 mm. D The percentage of people with blood pressure over 150 mm.
A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage. A randomly selected sample of 100 property owners was contacted and the results are shown below. Opinion Front-Footage For Undecided Against Under 45 feet 12 4 4 45 – 120 feet 35 5 30 Over 120 feet 3 2 5 What is the computed value of chi-square? 5.4787 4.9985 9.2784 7.9842 11.0355
b.
What sample size is needed to give a margin of error within±0.8 in estimating a population mean with 90% confidence, assuming a previous sample had s = 25. Round your answer up to the nearest integer. sample size = i
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