Pamela Meyer

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

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

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,$n=15$

$\sum x=145.6$

Sample mean,$\stackrel{\u2015}{x}=\sum \frac{x}{n}=\frac{145.6}{15}=9.7067$

Sample standard deviation,$s=1.7689$

Population mean,$\mu =9.6$

Hypothesis test:

The null and alternative hypothesis is

${H}_{0}:\mu =9.6$

${H}_{a}:\mu \ne 9.6$

Test statistics is

$z=\frac{\stackrel{\u2015}{x}-\mu}{\frac{\sigma}{\sqrt{n}}}=\frac{9.7067-9.6}{\frac{1.7689}{\sqrt{15}}}=0.2336$

$\therefore z=0.23$

p-value for two tailed:

p-value$=2p\left(z>0.23\right)$

$=2\times 0.409046$ ...(from z-table)

$=0.8181\stackrel{\sim}{=}0.8187$

$\therefore$ p-value $=0.8187$

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,

Sample mean,

Sample standard deviation,

Population mean,

Hypothesis test:

The null and alternative hypothesis is

Test statistics is

p-value for two tailed:

p-value

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

p-value = 0.8187, fail to reject the null hypothesis.

Therefore the correct option is A

RizerMix

Expert2021-12-29Added 583 answers

Thanks, both answers are right

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