Check it out! 1.5.3: Estimating Sample Means

Slides:

Advertisements

Similar presentations

Lesson 3-3 Example Step 1Write the compound interest formula. Find the value of an investment of $2,000 for 4 years at 7% interest compounded semiannually.

Advertisements

1 Finding Sample Variance & Standard Deviation  Given: The times, in seconds, required for a sample of students to perform a required task were:  Find:

Introduction The previous lesson discussed how to calculate a sample proportion and how to calculate the standard error of the population proportion. This.

Circumferences and Areas of Circles COURSE 3 LESSON 8-8 The diameter of a small pizza is 24 cm. Find its area. Round to the nearest tenth. A = r 2 Use.

243 = 81 • 3 81 is a perfect square and a factor of 243.

Mean and Standard Deviation of Grouped Data Make a frequency table Compute the midpoint (x) for each class. Count the number of entries in each class (f).

Find the two square roots of each number. Exploring Square Roots and Irrational Numbers COURSE 3 LESSON 4-8 a = 81 –9 (–9) = 81 The two square.

The area of the circle is about 227 m 2. COURSE 2 LESSON 8-4 Find the area of the circle to the nearest unit. = (8.5) 2 Substitute 8.5 for the radius.

Section 4.3 and 4.4 Dividing Decimals. Example 1 Find.

Sampling Distributions. Essential Question: How is the mean of a sampling distribution related to the population mean or proportion?

Areas of trapezoids, rhombuses, and kites FORMULAS Trapezoid: (1/2)(h)(b+b) Rhombus: (1/2)d *d Kite: (1/2)d *d.

Linear, Quadratic, and Exponential Models 11-4

Damage due to fire Statistics – Scatter diagram An insurance company decided to investigate the connection between ‘ the distance from the site of a.

Applying the Pythagorean Theorem and Its Converse Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson.

GEOMETRY HELP d = (–8) 2 Simplify. Find the distance between R(–2, –6) and S(6, –2) to the nearest tenth. Let (x 1, y 1 ) be the point R(–2, –6)

Write each fraction as a percent. When necessary, round to the nearest tenth of a percent. COURSE 2 LESSON 6-2 a Divide the numerator by the denominator.

DISTANCE BETWEEN TWO POINTS 8.G.8 Essential Question? How can you use the Pythagorean Theorem to find the distance between two points on a coordinate plane?

EXAMPLE 4 Solve an equation with an extraneous solution Solve 6 – x = x. 6 – x = x ( 6 – x ) = x – x = x 2 x – 2 = 0 or x + 3 = 0 0 = x + x – 6 2.

Vectors in the Coordinate Plane LESSON 8–2. Lesson Menu Five-Minute Check (over Lesson 8-1) TEKS Then/Now New Vocabulary Key Concept: Component Form of.

Splash Screen. Over Lesson 8-1 5–Minute Check 1 Determine the magnitude and direction of the resultant of the vector sum described as 25 miles east and.

EXPONENTIAL GROWTH AND DECAY By: Shaikha Arif Grade: 10 MRS. Fatma 11-3.

Check it out! 1.5.2: The Binomial Distribution

Linear, Quadratic, and Exponential Models

College Algebra Chapter 4 Exponential and Logarithmic Functions

Ch. 8.5 Exponential and Logarithmic Equations

Warm Up EQ: How do I perform operations on Rational Functions?

Exponential Growth and Decay

Check it out! : Assessing Normality.

Perfect Squares Lesson 12

Linear, Quadratic, and Exponential Models 9-4

Linear, Quadratic, and Exponential Models 11-4

Section 1: Estimating with large samples

5-6 Slope-Intercept Form Warm Up Lesson Presentation Lesson Quiz

Introduction The previous lesson discussed how to calculate a sample proportion and how to calculate the standard error of the population proportion. This.

Exploring Square Roots and Irrational Numbers

Linear, Quadratic, and Exponential Models 11-4

Perfect Squares Lesson 12

Exponential Growth and Decay

Main Idea and New Vocabulary Key Concept: Area of a Circle

Perfect Squares Lesson 12

COURSE 3 LESSON 4-6 Formulas

Slope-Intercept Form 4-6 Warm Up Lesson Presentation Lesson Quiz

College Algebra Chapter 4 Exponential and Logarithmic Functions

Year-3 The standard deviation plus or minus 3 for 99.2% for year three will cover a standard deviation from to To calculate the normal.

2. Write an exponential decay function to model this situation.

Course 2 Volume of Pyramids.

Objectives Add and subtract rational expressions.

LESSON 4: MEASURES OF VARIABILITY AND PROPORTION

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Algebraic Expressions and the Order of Operations

Check it out! 1.5.1: Estimating Sample Proportions

Perfect Squares Lesson 12

5-6 Slope-Intercept Form Warm Up Lesson Presentation Lesson Quiz

Warm Up Use the Distance Formula to find the distance, to the nearest tenth, between each pair of points. 1. A(6, 2) and D(–3, –2) 2. C(4, 5) and D(0,

Linear, Quadratic, and Exponential Models

Perfect Squares Lesson 12

Perfect Squares Lesson 12

Lesson Quizzes Standard Lesson Quiz

Linear, Quadratic, and Exponential Models 11-4

Perfect Squares Lesson 12

Warm Up Solve each equation for y. 1. 4x + 2y = x + 2 = 6y.

Algebraic Expressions and the Order of Operations

Section 13.5 Measures of Dispersion

L7-4 Obj: Students will simplify expressions with rational exponents

Lesson 32: Use Visual Overlap to Compare Distributions

Presentation transcript:

Check it out! 1.5.3: Estimating Sample Means http://www.walch.com/wu/00115 1.5.3: Estimating Sample Means

Weight training (hours) A coach is analyzing his players’ weekly off-season exercise routines. He has gathered the following data, including each player’s age, the number of miles they run, and the number of hours spent weight training. Player Age (years) Running (miles) Weight training (hours) Angel 15 40 2 Blake 17 25 5 Jaime 16 10 7 Pat 12 Rene 30 3 Common Core Georgia Performance Standards: MCC9–12.S.IC.4★ 1.5.3: Estimating Sample Means

What is the mean age of this sample? What is the mean of the miles spent running for this sample? What is the mean of the hours spent weight training for this sample? What is the standard deviation of the miles that were run for this data set to the nearest tenth? 1.5.3: Estimating Sample Means

What is the mean age of this sample? In order to calculate the mean age of the players, first find the sum of the ages. 15 + 17 + 16 + 15 + 17 = 80 Then divide the sum by the number of quantities in the data set, 5. 80 ÷ 5 = 16 The mean of the sample ages is 16 years. 1.5.3: Estimating Sample Means

What is the mean of the miles spent running for this sample? In order to calculate the mean of the miles run, first find the sum of the miles run. 40 + 25 + 10 + 0 + 30 = 105 Divide the sum by the number of quantities in our data set, 5. 105 ÷ 5 = 21 The mean of the miles run for this sample is 21 miles. 1.5.3: Estimating Sample Means

What is the mean of the hours spent weight training for this sample? In order to calculate the mean of the hours spent weight training, first find the sum of the hours. 2 + 5 + 7 + 12 + 3 = 29 Divide the sum by the number of quantities in our data set, 5. 29 ÷ 5 = 5.8 The mean of the hours spent weight training for this sample is 5.8 hours. 1.5.3: Estimating Sample Means

The number of values in the data set, n, is 5. What is the standard deviation of the miles that were run for this data set to the nearest tenth? The standard deviation can be found using the formula , where n is the number of values in the data set, x is each value of the data set, and is the mean. The number of values in the data set, n, is 5. 1.5.3: Estimating Sample Means

The value of the mean, , was determined to be 21. The values of x include 40, 25, 10, 0, and 30. We can assign these values as follows: x1 = 40, x2 = 25, x3 = 10, x4 = 0, and x5 = 30. The value of the mean, , was determined to be 21. Formula for standard deviation Substitute for 5 for n and 21 for . Expand the summation as shown below. 1.5.3: Estimating Sample Means

Substitute 40 for x1, 25 for x2, 10 for x3, 0 for x4, and 30 for x5, as shown. Simplify. 1.5.3: Estimating Sample Means

The standard deviation of miles that were run for this data set is approximately 14.3 miles. Connection to the Lesson Students will continue to work with mean and standard deviation and apply these calculations to sample populations. 1.5.3: Estimating Sample Means