Kittens At 8 weeks of age kittens at a specific shelter are assessed. A vet prev

Question

Kittens At 8 weeks of age kittens at a specific shelter are assessed. A vet previously noted that the average weight of kittens (deemed healthy) at 8 weeks is 796.9 grams. Lately, she has been concerned about the size of kitten growth and she will test if kittens at 8 weeks are on average a different size now. A random sample of 10 kittens had an average weight of 764.1 grams and a sample standard deviation of 91.6. Assume the distribution of kitten weights at 8 weeks is sufficiently close to the normal distribution to use the CLT, and that kittens are independent (statistically, not literally). Using this information, find the p-value when she tests the null hypothesis that kittens born now are still on average 796.9g against the alternative that they are on average different than 796.9g. Less than 0.005 Between 0.005 and 0.01 Between 0.01 and 0.05 Between 0.05 and 0.2 Greater than 0.2

Explanation / Answer

Mean = 796.9

Sample Mean = 764.1

Sample Size = 10

Sample SD = 91.6

t-value = (Sample Mean - Mean)/(Sample SD/sqrt(Sample Size))
= (764.1-796.9)/(91.6/sqrt(10))
= -1.132

dF = 10

Two tailed Test:
P-value = 0.284 Answer E) Greater than 0.2

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