### Hypothesis Testing in Fraternal Twins Birth Weights**Scenario:**A doctor studies sets of fraternal twins, where one newborn is a boy, and the other is a girl. She believes that of these twins, one gender may be heavier than the other, but she's not sure which. Below is the data, showing the weight of each baby in ounces.#### Weights Data- **Boy:** 84, 72, 73, 41, 85, 91, 72, 67, 58, 74, 54, 62, 71, 48, 91 - **Girl:** 82, 65, 77, 39, 71, 87, 80, 60, 55, 80, 46, 57, 66, 48, 83**Question:**Can the doctor conclude that there is any difference in the weights of the boy and girl in a set of twins? (Use α = 0.01)**Steps for Statistical Testing:**1. **Type of Test:** - Two-sample t-test (independent)2. **Null Hypothesis (H0):** - There is no difference in the weights of boys and girls in a set of fraternal twins. - $ H_0: \mu_{\text{boy}} = \mu_{\text{girl}} $3. **Alternate Hypothesis (H1):** - There is a difference in the weights of boys and girls in a set of fraternal twins. - $ H_1: \mu_{\text{boy}} \neq \mu_{\text{girl}} $4. **SE:** - Standard Error calculation (details to be filled after performing calculations).5. **Test Statistic:** - Calculation of the t-statistic (details to be filled after performing calculations).6. **P-value:** - Determine the p-value from the t-distribution.7. **Decision:** - Compare the p-value to the significance level (α = 0.01) to accept or reject the null hypothesis.8. **Sentence:** - Conclude based on the decision whether there is a significant difference in the weights of the boys and girls in a set of fraternal twins or not.### Explanation:This process involves statistical analysis to

Name: ### Hypothesis Testing in Fraternal Twins Birth Weights**Scenario:**A
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Hypothesis Testing in Fraternal Twins Birth Weights**Scenario:**A doctor studies sets of fraternal twins, where one newborn is a boy, and the other is a girl. She believes that of these twins, one gender may be heavier than the other, but she's

Two sample t test: Two sample t test is used to determine the significance difference between two…

Math

Statistics

2. A doctor studies sets of fraternal twins, where one newborn is a boy, and the other is a girl. She believes that of these twins, one gender may be heavier than the other, but she's not sure which. Here is the data, with the weight of each baby (in ounces) Boy 84 72 73 41 85 91 72 67 58 74 54 62 71 48 91 Girl 82 65 77 39 71 87 80 60 55 80 46 57 66 48 83 Can the doctor say that there is any difference in the weights of the boy and girl in a set of twins? (Use a = .01) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:

2. A doctor studies sets of fraternal twins, where one newborn is a boy, and the other is a girl. She believes that of these twins, one gender may be heavier than the other, but she's not sure which. Here is the data, with the weight of each baby (in ounces) Boy 84 72 73 41 85 91 72 67 58 74 54 62 71 48 91 Girl 82 65 77 39 71 87 80 60 55 80 46 57 66 48 83 Can the doctor say that there is any difference in the weights of the boy and girl in a set of twins? (Use a = .01) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The data were collected from a statistics class. The column heads give the variable, and each of the…

A: Step 1: Define what a variable isVariable are the categories of the values being measured and can…

Q: d) Conduct a test of the population slope to determine at the 5% significance level whether a linear…

A: Here dependent variable = Sales Independent variable = Years of experience Sample size (n) = 10…

Q: Below are two data sets, one for the average retail price of gasoline in the State of California for…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Add a new worksheet to your Excel file for problem 3. Problem 3- Football Players The weights (in…

A: Given the data on the weight of 52 randomly selected football players.Want to construct confidence…

Q: An amateur golfer wishes to determine if there is a difference between the drive distances of her…

Q: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum…

Q: Part: 0/2 Part 1 of 2 Draw the boxplot for the given data. The data shows a sample of states'…

A: Given data in ascending order,68, 70, 70, 73, 75, 81, 82, 82, 87, 87, 89, 93, 93, 94Sample size, n =…

Q: Suppose a student’s final grade in a biology course is determined using the following weights.…

Q: Unit 4, Part 1: Additional Practice 1. The national insurance Crime Bureau reported that these data…

A: Since you have posted questions with multiple subparts, as per the Bartleby answering guidelines we…

Q: An article gave the data, shown in the table below, on dimensions of 27 representative food…

A: If there are more than one independent variable used to predict a variable, then multiple regression…

Q: The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with…

A: Solution as below:

Q: What level of data is "number of offenses"?

A: Interval data: On top of ordinal data, interval data is built. It not only describes the order of…

Q: the serum HDL c women. Following is a sample of 36 HDL levels (in based on the results of that…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Table 5.7 Body weight of Sprague-Dawley rats (in grams) Female Male 229 310 300 485 310 476 248 528…

Topic Video

Question

### Hypothesis Testing in Fraternal Twins Birth Weights

**Scenario:**
A doctor studies sets of fraternal twins, where one newborn is a boy, and the other is a girl. She believes that of these twins, one gender may be heavier than the other, but she's not sure which. Below is the data, showing the weight of each baby in ounces.

#### Weights Data
- **Boy:** 84, 72, 73, 41, 85, 91, 72, 67, 58, 74, 54, 62, 71, 48, 91
- **Girl:** 82, 65, 77, 39, 71, 87, 80, 60, 55, 80, 46, 57, 66, 48, 83

**Question:**
Can the doctor conclude that there is any difference in the weights of the boy and girl in a set of twins? (Use α = 0.01)

**Steps for Statistical Testing:**

1. **Type of Test:**
- Two-sample t-test (independent)

2. **Null Hypothesis (H0):**
- There is no difference in the weights of boys and girls in a set of fraternal twins.
- $ H_0: \mu_{\text{boy}} = \mu_{\text{girl}} $

3. **Alternate Hypothesis (H1):**
- There is a difference in the weights of boys and girls in a set of fraternal twins.
- $ H_1: \mu_{\text{boy}} \neq \mu_{\text{girl}} $

4. **SE:**
- Standard Error calculation (details to be filled after performing calculations).

5. **Test Statistic:**
- Calculation of the t-statistic (details to be filled after performing calculations).

6. **P-value:**
- Determine the p-value from the t-distribution.

7. **Decision:**
- Compare the p-value to the significance level (α = 0.01) to accept or reject the null hypothesis.

8. **Sentence:**
- Conclude based on the decision whether there is a significant difference in the weights of the boys and girls in a set of fraternal twins or not.

### Explanation:
This process involves statistical analysis to

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Answer & Explanation

VIEW

Step by step

Solved in 2 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Can you please help me on 19 and 20?
David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico. Chihuahua region: x1 variable in pounds 86 75 91 70 79 80 68 71 74 64 Durango region: x2 variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Use 2 decimal places.) x1 s1 x2 s2 (b) Let μ1 be the mean weight of the population of all grey wolves in the Chihuahua region. Let μ2 be the mean weight of the population of all grey wolves in the Durango region. Find a 99% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit upper limit
How would you answer this?
The following table lists highway miles (in MPG) and weight (in pounds) for a variety of cars, foreign and domestic (same data as before). CAR HWY WEIGHT Chev. Cavalier 31 2795 Lincoln Cont. 24 3930 Mitsubishi Eclipse 33 3235 Olds. Aurora 26 3995 Pontiac Grand Am 30 3115 Chev. Corvette 28 3220 BMW 3-Series 27 3225 Ford Crown Victoria 24 3985 Hyundai Accent If we let x be the weight and y be the Highway MPG, and we used Excel to compute the equation of the Least- 37 2290 Square regression line (which comes out to be y = -0.00672'x + 51.1156) as well as the correlation coefficient (which comes out to be -0.89). Then you used that equation to predict that the Highway Miles for a car that weighs just 1000 pounds would be 44.4 mpg. I think this prediction is accurate because the person used Excel for the computation. O I think this prediction is not accurate since a car that weighs 1000 pounds is not part of the original data list. O Ithink this prediction is not accurate because the person…
Doctors at a technology research facility randomly assigned people to use computer keyboards in two rooms. In one room a group of people typed a manuscript using standard keyboards, while in the other room a second group of people typed the same manuscript using ergonomic keyboards to see if those people could type more words per minute. The table shows the resulting data. Standard Ergonomic Words per Words per minute minute 12 43 38 35 21 35 28 69 18 58 45 52 40 36 42 37 52 38 19 47 24 46 63 58
32)