Convert each of the following z intervals to raw score x intervals. (a) z less than or equal to...


Let {eq}x {/eq} be a random variable that represents the length of time it takes a student to complete Dr. Gill's chemistry lab project. From long experience, it is known that {eq}x {/eq} has a normal distribution with {eq}\mu = 3.6 {/eq} hours and {eq}\sigma = 0.5 {/eq} hour.

Convert each of the following {eq}z {/eq} intervals to raw score {eq}x {/eq} intervals.

(a) {eq}z \leq -1 {/eq}

(b) {eq}1 \leq z \leq 2 {/eq}

(c) {eq}z \geq 1.5 {/eq}


In statistical methods, the term Z-statistics is a kind of statistical test in which the two population means are not the same, the variance is known, and the sample size is greater than 30.

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Part (a)

Part (a)

Part (b)

Part (b)

Part (c)

Part (c)

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Z Test: Formula & Example


Chapter 4 / Lesson 14

Learn what a Z-test is and when to use it. Understand when to use the one-sample Z-test formula versus the two-sample Z-test formula with the help of examples.

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