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A study measures the dimensions of adult penguin bills for three species (Adelie, Gentoo and Chinstrap) living on an island. Bill lengths and bill depths (millimetres) were taken, as shown in the following diagram: Bill length Bill depth Question 1 In the study it is believed that there is a negative linear relationship between bill lengths and bill depths for the penguins. Define p as the population correlation coefficient between bill length and bill depth. The appropriate null and alternative hypotheses to test are O Ho: p= 0 vs H₁: p0 ○ Ho: p= 0 vs H₁: p < 0 ○ Ho:p> 0 vs H₁ :p <0 Hop= 0 vs H₁ :p>0

A study measures the dimensions of adult penguin bills for three species (Adelie, Gentoo and Chinstrap) living on an island. Bill lengths and bill depths (millimetres) were taken, as shown in the following diagram: Bill length Bill depth Question 1 In the study it is believed that there is a negative linear relationship between bill lengths and bill depths for the penguins. Define p as the population correlation coefficient between bill length and bill depth. The appropriate null and alternative hypotheses to test are O Ho: p= 0 vs H₁: p0 ○ Ho: p= 0 vs H₁: p < 0 ○ Ho:p> 0 vs H₁ :p <0 Hop= 0 vs H₁ :p>0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A study measures the dimensions of adult penguin bills for three species (Adelie, Gentoo and Chinstrap) living on an island. Bill lengths and bill depths (millimetres) were taken, as shown in the following diagram: Bill length Bill depth Question 1 In the study it is believed that there is a negative linear relationship between bill lengths and bill depths for the penguins. Define p as the population correlation coefficient between bill length and bill depth. The appropriate null and alternative hypotheses to test are Ho p = 0 vs H₁ :p #0 ○ Ho: p= 0 vs H₁: p < 0 O Ho:p> 0 vs H₁ : p < 0 ○ Ho: p= 0 vs H₁ : p > 0 Question 2 Measurements are taken from a random selection of 12 males (4 from each species) and 12 females (4 from each species). Based on the data, the test statistic for the hypothesis test in Question 1 is -1.109. The degrees of freedom of the t distribution to be used to find the p-value is 20 22 23 24 O O O O
Transcribed Image Text:A study measures the dimensions of adult penguin bills for three species (Adelie, Gentoo and Chinstrap) living on an island. Bill lengths and bill depths (millimetres) were taken, as shown in the following diagram: Bill length Bill depth Question 1 In the study it is believed that there is a negative linear relationship between bill lengths and bill depths for the penguins. Define p as the population correlation coefficient between bill length and bill depth. The appropriate null and alternative hypotheses to test are Ho p = 0 vs H₁ :p #0 ○ Ho: p= 0 vs H₁: p < 0 O Ho:p> 0 vs H₁ : p < 0 ○ Ho: p= 0 vs H₁ : p > 0 Question 2 Measurements are taken from a random selection of 12 males (4 from each species) and 12 females (4 from each species). Based on the data, the test statistic for the hypothesis test in Question 1 is -1.109. The degrees of freedom of the t distribution to be used to find the p-value is 20 22 23 24 O O O O
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