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assume the average number of times that a typical american says a word that is considered to be profane is 4 times per day with a standard deviation of 5.6. a sample of 15 students from your university is found to vocalize 3.4 profane words per day. assume that we expect the students at your university to vocalize fewer profane words. conduct directional (left-tailed) hypothesis test to determine if there is a difference between you university's population and the general population. what is the z-observed value for the test?

Respuesta :

The z-observed value for the test of average number of times that a typical american says a word that is considered to be profane is -0.41.

Define the term z-score?

  • A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values.
  • Standard deviations from mean are used to measure Z-score.

The formula for calculating the z-score is-

z = (x - μ)/s

in which,

n = sample size (= 15)

μ = mean (= 4)

σ = standard deviation (= 5.6)

s = σ/√n

s = 5.6/√15

s = 1.44

Put the value in z score;

z = (3.4 - 4)/1.44

z = -0.41

Because of how near to zero this test statistic is, we will not be able to rule out the null hypothesis. Seven.

There isn't enough proof to claim that there is a mean difference or that it exists in your circumstance.

Thus, they're basically arguing that we can't rule out the null hypothesis.

To know more about the z-score, here

https://brainly.com/question/25638875

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