Question

You measure 20 dogs' weights, and find they have a mean weight of 64 ounces. Assume the population standard deviation is 11.5 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight.

Answer 1

95% confidence interval would be (58.96, 69.04).

Explanation:

Since we have given that

Number of dogs' weight = 20

Mean = 64 ounces

Standard deviation = 11.5 ounces

We need to find the 95% confidence interval.

So, z = 1.96

so, interval would be

`\bar{x}\pm z(\sigma)/(√(n))\\\\=64\pm 1.96* (11.5)/(√(20))\\\\=64\pm 5.04\\\\=(64-5.04,64+5.04)\\\\=(58.96,69.04)`

Hence, 95% confidence interval would be (58.96, 69.04).