Question

Calculate the z statistic for a sample mean of 1094 based on the

sample of 53 people when μ=1090 and σ=87

Answer 1

The z statistic for a sample mean of 1094 with a population mean of 1090, standard deviation of 87, and a sample size of 53 is approximately 0.3348.

Step-by-step explanation:

To calculate the z statistic for a sample mean, we can use the z-score formula: z = (X - μ) / (σ / √ n), where X is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. Plugging in the given values, we have:

z = (1094 - 1090) / (87 / √ 53)

≈ (4) / (87 / √ 53)

≈ (4) / (11.956)

≈ 0.3348

Therefore, the z statistic for this sample mean is approximately 0.3348.