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

Question

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

aquariump9 · Accepted Answer

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:μ≠9.6  Test statistics is  z=x―−μσn=9.7067−9.61.768915=0.2336  ∴z=0.23  p-value for two tailed:  p-value =2p(z&amp;gt;0.23)  =2×0.409046...(from z-table)  =0.8181=∼0.8187  ∴ p-value =0.8187

godsrvnt0706 · Accepted Answer

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 · Accepted Answer

Thanks, both answers are right

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

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