Asked by Jessica Braga on Apr 23, 2024
Verified
Using the following information, calculate the z-statistic for the z-test for one mean. = 101 μ = 109 = 3.44
A) -2.32
B) 2.32
C) -2.33
D) 2.33
Z-test
A method of statistical analysis that evaluates whether there is a significant difference between the means of two populations, given known variances and a large sample size.
µ = 109
Represents the mean (µ) of a dataset or distribution, here specifically stated as 109.
- Compute the z-statistics for specified datasets.
Verified Answer
NM
Narandan Miller8 days ago
Final Answer :
C
Explanation :
To calculate the z-statistic, we use the formula:
z = (x̄ - μ) / (σ / √n)
where x̄ is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the given values:
z = (101 - 109) / (3.44 / √1) = -2.33
Therefore, the z-statistic is -2.33, which corresponds to choice C.
z = (x̄ - μ) / (σ / √n)
where x̄ is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the given values:
z = (101 - 109) / (3.44 / √1) = -2.33
Therefore, the z-statistic is -2.33, which corresponds to choice C.
Learning Objectives
- Compute the z-statistics for specified datasets.
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