A researcher performs a hypothesis test to test the claim that for a particular breed of dog,the mean weight of an adult dog is less than 18 kg.Use the given computer output to draw a conclusion about the mean adult dog weight for this breed at a significance level of 0.05. Test of H 0 \mathrm { H } _ { 0 } H 0 : ? = 18 vs H A \mathrm { H } _ { \mathrm { A } } H A : ?

Question

A researcher performs a hypothesis test to test the claim that for a particular breed of dog,the mean weight of an adult dog is less than 18 kg.Use the given computer output to draw a conclusion about the mean adult dog weight for this breed at a significance level of 0.05. Test of

H0\mathrm { H } _ { 0 }

: ? = 18 vs

HA\mathrm { H } _ { \mathrm { A } }

: ? < 18
N Mean StDev t P-value
21 17.883 0.212 -2.53 0.01

A) Fail to reject the null - there is strong evidence that the mean weight is less than 18 kg.
B) Reject the null - there is strong evidence that the mean weight is 18 kg.
C) Reject the null - there is strong evidence that the mean weight is less than 18 kg.
D) Fail to reject the null - there is strong evidence that the mean weight is 18 kg.
E) There is insufficient information to draw a conclusion.

Fiordaliza Taveras · Accepted Answer

Final Answer : C, Explanation :  The null hypothesis is that the mean weight of an adult dog for this breed is 18 kg or more. The alternative hypothesis is that the mean weight is less than 18 kg.The p-value is 0.01, which means there is a 1% chance of observing a sample mean of 17.883 or less if the true population mean is 18 kg or more. Since this p-value is less than the significance level of 0.05, we reject the null hypothesis. Thus, we have strong evidence to support the claim that the mean weight of an adult dog for this breed is less than 18 kg. Therefore, choice C is correct.

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