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
The toll plaza on Route 1 in Dover has four tollbooths open to all vehicles. Ms. Timlin conducted a chi-square goodness of fit test to see if all of the booths are used in equally. A chi-square value of 23.4 was calculated, resulting in a p-value of 0.006. Which of the following is correct? a. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions. Selected:b. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.This answer is incorrect. c. The tollbooths are used in equal proportions. d. There is insufficient evidence to suggest that the tollbooths are used in equal proportions. e. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
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Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 22 with a mean of 62.5 and a standard deviation of 9.6 at a confidence level of 80%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. =
Estimate the distance traveled in 20 seconds given the following sample velocities using right- endpoint values. Be sure to write the units for your answer. Time (s) 10 15 20 Velocity (m/s) 3 3.4 2.9 2.4 1
C. To assess the actual mean weight of apples, a farm manager selected a random sample of 75 apples. He found that the sample mean weight was 126.2 grams with standard deviation 8.7 grams. With what degree of confidence can we say that the confidence limits are (126.2±2.57) grams?
Solve the problem. Find the standardized test statistic t for a sample with n = 15, x = 8.7, s = 0.8, and a = 0.05 if Ho: Hs 8.4. Round your answer to three decimal places. a. 1.452 b. 1.631 c. 1.728 d. 1.312

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