The average life span of a Golden Retriever is said to be 9.

Pamela Meyer

Pamela Meyer

Answered question

2021-12-20

The average life span of a Golden Retriever is said to be 9.6 years. In a random sample of 15 Golden Retrievers, the following life spans were found:
6.8 10.2 9.5 13 9.9 7.0 8.3 8.9 11.2 10 9.8 13 9.8 9.5 8.7
At a 5% significance level, if we do a complete hypothesis test to test eh claim that the average life span of Golden Retrievers is 9.5, the p-value and conclusion are:
p-value = 0.8187, fail to reject the null hypothesis
p-value = 0.8153, fail to reject the null hypothesis
p-value = 0.8187, reject the null hypothesis
p-value = 0.8153, reject the null hypothesis

Answer & Explanation

aquariump9

aquariump9

Beginner2021-12-21Added 40 answers

Given:
The average lifespan of a golden retriever is a set to be 9.6 years in the random sample of 15 golden retriever the following life span were found.
From tbe given data
Sample size, n=15
x=145.6
Sample mean, x=xn=145.615=9.7067
Sample standard deviation, s=1.7689
Population mean, μ=9.6
Hypothesis test:
The null and alternative hypothesis is
H0:μ=9.6
Ha:μ9.6
Test statistics is
z=xμσn=9.70679.61.768915=0.2336
z=0.23
p-value for two tailed:
p-value =2p(z>0.23)
=2×0.409046...(from z-table)
=0.8181=0.8187
p-value =0.8187
godsrvnt0706

godsrvnt0706

Beginner2021-12-22Added 31 answers

Since p-value is greater than significance level 0.05, we fail to reject null hypothesis.
p-value = 0.8187, fail to reject the null hypothesis.
Therefore the correct option is A
RizerMix

RizerMix

Expert2021-12-29Added 656 answers

Thanks, both answers are right

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