Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 47 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X U( Suppose that 47 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? a N( c. What is the probability that the average of 47 children will be between 7 and 7.8 years old?

Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 47 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X U( Suppose that 47 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of a? a N( c. What is the probability that the average of 47 children will be between 7 and 7.8 years old?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose that the age of students at George Washington Elementary school is uniformly distributed between
5 and 11 years old. 47 randomly selected children from the school are asked their age. Round all answers to
4 decimal places where possible.
a. What is the distribution of X? X U
Suppose that 47 children from the school are surveyed. Then the sampling distribution is
b. What is the distribution of a? a N(
c. What is the probability that the average of 47 children will be between 7 and 7.8 years old?
Hint:
Some Helpful Videos:
Finding the Sampling Distribution [+]
Finding a Probability Using the Central Limit Theorem [+1
Finding Value Given a Probability Using the Central Limit Theorem +1
• The Central Limit Theorem For Sums 2 [+]
Hint
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NEED HELP WITH: E,F,G
The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use (t-test for a population mean, z-test for a population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = ____ (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis.…
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 71, 72, 53, 61, 75, 55, 75, 74, 58, 50, 71, 84, 76, 53 What can be concluded at the the αα = 0.10 level of significance level of significance? The null and alternative hypotheses would be: H0: μ = ______________ H1: μ ≠ ______________ The test statistic t= ________________(please show your answer to 3 decimal places.) The p-value = _______________________ (Please show your answer to 4 decimal places.)
Can you please answer , b, d , g Thank you
please help with the question in the screenshot attached