Parts (a) and (b) are both related to normal distribution butare not directly connected to each other. Please complete both parts.Sketch two normal pdfs, both with u=-1, but one with(a)o=2 and the other with o =7. Label the curves.(b)Compute P(|Z| < 2.43).Assume that Z is a standard normal random variable.2.

a)Mean= -1 , Standard deviation = 2

Answered: Parts (a) and (b) are both related to…

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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Rosie is an aging sheepdog in Montana who gets regular checkups from her owner, the local veterinarian. Let x be a random variable that represents Rosie’s resting heart rate (in beats per minute). From past experience, the vet knows that x has a normal distribution with σ= 12. The vet checked the manual and found that for dogs of this breed, μ= 115beats per minute. Over the past six weeks(n=6), Rosie’s sample mean hear rate was x̄=105.0. The vet is concerned that Rosie’s heart rate is slowing and is less than 115.0. Does the data indicate that this is the case? Use a level of significance α= .05 to conduct a hypothesis test. You must include the following: i) null hypothesis ii) alternate hypothesis iii) test statistic (z or t value –remember the information in the problem will help determine if you use a z or t) iv) P-Value compared to the level of significance(α). v) Conclusion (Do you reject or fail to reject the vet’s claim?)
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