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DedPeter [7]
3 years ago
6

Researchers randomly studied the relationship, if any, between male and female grade point averages in a population of seniors w

ho were not intending to go to college after high school. They wanted to construct a 95% confidence interval for this study on 50 men and 50 women. The mean average gpa for the men was 2.9 with a standard deviation of 0.5 and the mean average gpa for the women was 3.1 with a standard deviation of 0.4. Construct the confidence interval for the difference of two sample means.
Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

CHAPTER 1: INTRODUCTION

1.1 The Basics

Definition: statistics

Statistics is the science of collecting, organizing, interpreting, and learning from data.

COURSE GOAL:

Learn how to use statistical methods to translate data into knowledge so that we can investigate

questions in an objective manner. Here are some examples of questions we’ll have the tools to

answer before the end of the semester:

1. How can we estimate the percentage of American citizens who would vote for Hillary Clinton

if the presidential election were held today? How certain are we about our estimate?

2. What is the relationship between the amount of time spent studying and the score received

on an exam?

3. Is there an association between smoking and divorce? If so, does that mean smoking causes

divorce?

THREE ASPECTS OF STATISTICS

1. Design: Planning how to obtain data to answer the question of interest.

2. Description: Summarizing the data that are obtained.

3. Inference: Using sample data to learn about the population: make decisions and

predictions based on the data for answeri

Step-by-step explanation:

You might be interested in
Identify the correct HYPOTHESIS used in a hypothesis test of the following claim and sample data: Claim: "The average annual hou
lora16 [44]

Answer:

We accept H₀

Step-by-step explanation:

Population mean  μ₀ = 47500

Population standard deviation unknown

Sample size    n = 86   degree of freedom  df = 86 - 1  df = 85

Sample mean    μ = 48061

Sample standard deviation 2,351

The claim implies a two tail test with t-studend distributon

Null  Hypothesis                 H₀               μ  =  μ₀

Alternative Hypothesis      Hₐ               μ  ≠  μ₀      

Confidence Interval  mean α = 0,02     and   α/2  =  0,01

With α/2 and df = 85, from t-table we find  t(c)  critical value

t(c) = 2,3710

We compute t(s) as

t(s)  =  ( μ - μ₀ ) / s /√n

t(s)  = ( 48061 - 47500 )/ 2351/√86

t(s)  = 561 * 9,273 / 2351

t(s) = 2,212

Now we compare t(s) and t(c)

t(s) < t(c)       2,212  < 2,371

Then we are in the acceptance region. We accept H₀

5 0
3 years ago
Need to make sure this is correct ?
Brrunno [24]
Yes it is correct ur answer is well solved and good Alice will finish the race
6 0
3 years ago
Priya was busy studying this week and ran 7 fewer miles than last week. She ran 9 times as far as Elena ran this week. Elena onl
m_a_m_a [10]

Answer:

1) The number of miles Priya ran last week was 43 miles

2) The way Elena found Priya's miles is faster compared to the way it was found here

Step-by-step explanation:

1) The number of miles Priya ran this week = The number of miles Priya ran last week - 7

The number of miles Priya ran this week = 9 × The number of miles Elena ran this week

The number of miles Elena ran this week = 4 miles

Therefore;

Let the number of miles Priya ran last week = x miles

The number of miles Priya ran this week = (x - 7) miles

Therefore, we have

(x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles

x = (36 + 7) miles = 43 miles

The number of miles Priya ran last week = x miles = 43 miles

The number of miles Priya ran last week = 43 miles

2) From (x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles, we have;

(x - 7) = 9 × 4

1/9(x - 7) = 4

Therefore, multiplying by 9, we have;

9 × 1/9(x - 7) = 9 × 4

(x - 7) = 9 × 4 = 36

x - 7 + 7 = 36 + 7

x = 43 miles

Therefore, the way Elena found Priya's miles is faster compared to the way it is found here

6 0
4 years ago
The product of 5 and a number is the same as 28 less twice that same number.
Veseljchak [2.6K]

This can be displayed as 5x = 28 - 2x

We can solve for the value of x by making the following changes:

<u>Add 2x to both sides</u>

7x = 28

<u>Divide by 7</u>

x = 4

4 0
3 years ago
Exit
Zarrin [17]

Answer:

one third :) ;) hope it helps

5 0
3 years ago
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