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vampirchik [111]
2 years ago
14

consider the following hypothesis test, H0, U greater than or equal to 20, Ha less than 20, a sample of 50, provided a mean of 1

9.4 population standard deviation is 2, compute the value of of the test static, what is the p-value,
Advanced Placement (AP)
1 answer:
hoa [83]2 years ago
3 0

Based on the calculations, the value of the test statistic and p-value are equal to -2.1213 and 0.0169 respectively.

<u>Given the following data:</u>

  • Standard deviation = 2.
  • Sample mean = 19.4.
  • Number of sample = 50.
  • Hypothesized mean = 20.

<h3>How to compute the test static?</h3>

Mathematically, the value of the test statistic can be computed by using this formula:

Z=\frac{\bar{x}\;-\;\mu}{ \frac{\sigma}{\sqrt{n} }  }\\\\Z=\frac{19.4\;-\;20}{\frac{2}{\sqrt{50}}}\\\\Z=\frac{-0.6}{0.282842 }

zₓ = -2.1213.

From the z-table, the p-value is given by:

P(Z < zₓ) = P(Z < -2.1213)

P(Z < -2.1213) = 0.0169.

Since the p-value is equal to 0.0169 less than α = 0.05, we would reject H₀ : µ equal to 20. Thus, we would conclude that µ < 20.

Read more on standard deviation here: brainly.com/question/4302527

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