The sample size for a one-tailed hypothesis test for a population mean is shown below where z is the z-value that corresponds to an upper tail area of a, ze is the z-value that corresponds to an upper tail area of B, o is the population standard deviation, is the hypothesized population mean, and is the population mean used for the Type II error.

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The sample size for a one-tailed hypothesis test for a population mean is shown below where z is the z-value that corresponds to an upper tail area of α, z is the z-value that corresponds to an upper tail area of
B, o is the population standard deviation, μ is the hypothesized population mean, and is the population mean used for the Type II error.
(za+ +28) ²0²
(мо-на) 2
We are told to use a level of significance of 0.03, so α = 104.04
X. We determined the production manager is willing to accept a Type II error with a probability of 0.20, giving ß = 0.20.
Use a table to find the values of zand z, rounding each to two decimal places.
ZB
=
=
n =
The population standard deviation was given to be 40, so we have o =
following hypotheses.
Thus, Ho=
Ho: μ ≥ 500
H₂: μ< 500
and Ma =
If the actual population mean is 491, the researcher is willing to accept a Type II error with probability of 0.20 for the
Transcribed Image Text:The sample size for a one-tailed hypothesis test for a population mean is shown below where z is the z-value that corresponds to an upper tail area of α, z is the z-value that corresponds to an upper tail area of B, o is the population standard deviation, μ is the hypothesized population mean, and is the population mean used for the Type II error. (za+ +28) ²0² (мо-на) 2 We are told to use a level of significance of 0.03, so α = 104.04 X. We determined the production manager is willing to accept a Type II error with a probability of 0.20, giving ß = 0.20. Use a table to find the values of zand z, rounding each to two decimal places. ZB = = n = The population standard deviation was given to be 40, so we have o = following hypotheses. Thus, Ho= Ho: μ ≥ 500 H₂: μ< 500 and Ma = If the actual population mean is 491, the researcher is willing to accept a Type II error with probability of 0.20 for the
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