An electronic company's records show that the mean number of circuit.boards rejected per batch is 5.7 with a variance of 1.4. Due to achange in the molding process, factory management has hired you to perform a hypothesis test to check if the variance, o, hasincreased. To do so, you test a random sample of 10 batches produced using the new process; the number of circuit boards rejected perbatch has a sample variance of 2.5.Under the assumption that the number of circuit boards rejected per batch using the new process follows a normal distribution, you willperform a chi-square test.Find x, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places.* = 0

It is given that Sample size n = 10 Sample variance s2 = 2.5 Population variance = 1.4

Answered: An electronic company's records show…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 427 gram setting. It is believed that the machine is underfilling the bags. A 24 bag sample had a mean of 425 grams with a variance of 100. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.
For a standardized psychology examination, the scores have a mean of 500 and a variance of 9475. It is hypothesized that the variance, o, of scores for psychology majors on this exam is lower than 9475. A random sample of 26 exams completed by psychology majors had a mean of 509 and a variance of 3987. Assuming that scores among psychology majors on this exam are approximately normally distributed, may we conclude, at the 0.01 level of significance, that the hypothesis is correct? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O
A school administrator wants to see if there is a difference in the number of students per class for Portland Public School district (group 1) compared to the Beaverton School district (group 2). Assume the populations are normally distributed with unequal variances. A random sample of 28 Portland classes found a mean of 36 students per class with a standard deviation of 5. A random sample of 27 Beaverton classes found a mean of 35 students per class with a standard deviation of 6. Find a 90% confidence interval in the difference of the means. Use technology to find the critical value using df = 50.6214 and round answers to 4 decimal places.
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Highway engineers in Ohio are painting white stripes on a highway. The stripes are supposed to be approximately 10 feet long. However, because of the machine, the operator, and the motion of the vehicle carrying the equipment, considerable variation occurs among the stripe lengths. Engineers claim that the variance of stripes should be less than 16 inches squared. At α = .05, use the sample lengths given here from 12 measured stripes (in feet and inches) to test the variance claim. Assume stripe length is normally distributed. (in feet) (in inches) 9.85 118.2 9.7 116.4 9.9 118.8 9.5 114 9.15 109.8 10.1 121.2 10 120 9.8 117.6 9.9 118.8 10.3 123.6 10.1 121.2 10.2 122.4 The appropriate test for this question is: a Z-test for the true variance of stripe length. a t-test for the true mean of stripe length. a Chi-square test…
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