Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 13.4 minutes. The standarddeviation of completion times was 1.1 minutes. An analyst at the company suspects that, under new management, the mean completion time, μ, is now lessthan 13.4 minutes. To test this claim, a random sample of 42 completion times under new management was taken by the analyst. The sample had a mean of13.3 minutes. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the population meancompletion time under new management is less than 13.4 minutes? Assume that the population standard deviation of completion times has not changed undernew management.Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.H :DH₁ :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the p-value. (Round to three or more decimal places.)(e) Can we support the claim that the population mean completion time undernew management is less than 13.4 minutes?μ3.|xX5☐☐OXS0=0 OSOUo0<0РS

Given that Sample size n=42 Sample mean=13.3 Population standard deviation =1.1 NOTE:- According to…

Answered: e changes to its management staff, an…

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 process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
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