Question

The Pacific Northwest Tree Octopus, is venomous. Believing that diet is responsible for the toxicity of the octopus zoologist collect samples into two groups.

Group 1 is from evergreen forest and considers juniper into the diet

Group 2 is collated from redwood forest and does not have access to juniper. Following statistics:

x̅1 = 29 LD50, s1 = 2.4 LD50, n1 = 49

x̅ 2 = 16 LD50, s2 = 1.9 LD50, n2 = 52

At 4% significance level determine if the diet with juniper has a higher toxicity.

Answer 1

i am using minitab to solve the problem.

steps :-

copy the data in minitab $1596136473803_blob.png$ stat $1596136473941_blob.png$ basic statistics $1596136473811_blob.png$ 2 sample t $1596136474149_blob.png$ select summarized data $1596136474053_blob.png$ in sample 1 type 49 in sample size, 29 in sample mean, 2.4 in standard deviation $1596136474051_blob.png$ in sample 2 type 52 in sample size, 16 in sample mean, 1.9 in standard deviation $1596136474009_blob.png$options $1596136473929_blob.png$ in confidence level type 96 $1596136474206_blob.png$in hypothesized difference type 0 $1596136474097_blob.png$ select the alternative hypothesis as difference > hypothesized difference $1596136474111_blob.png$ ok $1596136474228_blob.png$ok.

*** SOLUTION ***

hypothesis:-

$H_{0}:\mu_{1}-\mu_{2}=0$

$H_{1}:\mu_{1}-\mu_{2}>0$ [ claim ]

the test statistic (t) = 30.06

p value = 0.0000

decision:-

p value = 0.0000 < 0.04 (alpha)

we reject the null hypothesis. There is sufficient evidence to claim that the diet with juniper has a higher toxicity.

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