Four different paints are advertised to have the same drying times. Use the Kruskal Wallis Test – Analysis of Variance by Ranks, to verify the manufacturer’s claim. Remember that seven samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Below are the results. Paint 1 Rank Paint 2 Rank Paint 3 Rank Paint 4 Rank
114 112 126 115 117 118 127 117 120 118 128 122 121 118 129 123 126 120 131 123 126 121 131 126 130 121 137 126
H0: the population distributions of drying times are the same for the four samples H1: the population distributions of drying times are not all the same for the four samples
a. State your test statistic:
b. State your decision rule: (α = 0.05)
c. Show your calculation:
d. What is your conclusion?

a is the correct

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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