7.S8 Suppose that a random variable is normally distributed with mean μ and variance 6², and we draw a random sample of five observations from this distribution. What is the joint probability density function of the sample? 7.S9 WP Transistors have a life that is exponentially distributed with parameter λ. A random sample of n transistors is taken. What is the joint probability density function of the sample? 7.S10 WP VS A procurement specialist has purchased 25 resistors from vendor 1 and 30 resistors from vendor 2. Let X1,1, 1,2, ,✗1,25 represent the vendor 1 observed resistances, which are assumed to be normally and independently distributed with mean 100 ohms and standard deviation 1.5 ohms. Similarly, let X2,1, X2,2, X2,30 represent the vendor 2 observed resistances, which are assumed to be normally and independently distributed with mean 105 ohms and standard deviation of 2.0 ohms. What is the sampling distribution of X₁ - X2? What is the standard error of X₁ - X₂?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Answer questions 7S8, 7S9, 7S10 respectively 

7.S8 Suppose that a random variable is normally distributed with
mean μ and variance 6², and we draw a random sample of five
observations from this distribution. What is the joint probability
density function of the sample?
7.S9 WP Transistors have a life that is exponentially distributed
with parameter λ. A random sample of n transistors is taken. What
is the joint probability density function of the sample?
7.S10 WP VS A procurement specialist has purchased 25
resistors from vendor 1 and 30 resistors from vendor 2. Let X1,1,
1,2, ,✗1,25 represent the vendor 1 observed resistances, which
are assumed to be normally and independently distributed with
mean 100 ohms and standard deviation 1.5 ohms. Similarly, let
X2,1, X2,2, X2,30 represent the vendor 2 observed resistances,
which are assumed to be normally and independently distributed
with mean 105 ohms and standard deviation of 2.0 ohms. What is
the sampling distribution of X₁ - X2? What is the standard error
of X₁ - X₂?
Transcribed Image Text:7.S8 Suppose that a random variable is normally distributed with mean μ and variance 6², and we draw a random sample of five observations from this distribution. What is the joint probability density function of the sample? 7.S9 WP Transistors have a life that is exponentially distributed with parameter λ. A random sample of n transistors is taken. What is the joint probability density function of the sample? 7.S10 WP VS A procurement specialist has purchased 25 resistors from vendor 1 and 30 resistors from vendor 2. Let X1,1, 1,2, ,✗1,25 represent the vendor 1 observed resistances, which are assumed to be normally and independently distributed with mean 100 ohms and standard deviation 1.5 ohms. Similarly, let X2,1, X2,2, X2,30 represent the vendor 2 observed resistances, which are assumed to be normally and independently distributed with mean 105 ohms and standard deviation of 2.0 ohms. What is the sampling distribution of X₁ - X2? What is the standard error of X₁ - X₂?
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