The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 16 laboratory blood tests during the past year. Her average HC is 16.94 with s = 1.05. Is there evidence that her average HC is not 14? (a) State the null and alternative hypotheses: (Type "mu" for the symbol µ, eg. mu > 1 for the mean is greater than 1, mu <1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Но: На (b) Find the test statistic (give to at least 3 decimal places), t =

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**Question:**

The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with a population mean of 14 for healthy adult women. Suppose a female patient has had 16 laboratory blood tests during the past year. Her average HC is 16.94 with s = 1.05. Is there evidence that her average HC is not 14?

(a) State the null and alternative hypotheses: (Type "mu" for the symbol μ, e.g., mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)

\( H_0: \) [ ]

\( H_a: \) [ ]

(b) Find the test statistic (give to at least 3 decimal places), t = [ ]

**Explanation:**

The image presents a statistical problem where the hemoglobin levels of a female patient are analyzed using hypothesis testing. The data suggests checking if the patient's hemoglobin count significantly deviates from a known mean, using the given sample mean and standard deviation.
Transcribed Image Text:**Transcription of Image:** **Question:** The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with a population mean of 14 for healthy adult women. Suppose a female patient has had 16 laboratory blood tests during the past year. Her average HC is 16.94 with s = 1.05. Is there evidence that her average HC is not 14? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μ, e.g., mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) \( H_0: \) [ ] \( H_a: \) [ ] (b) Find the test statistic (give to at least 3 decimal places), t = [ ] **Explanation:** The image presents a statistical problem where the hemoglobin levels of a female patient are analyzed using hypothesis testing. The data suggests checking if the patient's hemoglobin count significantly deviates from a known mean, using the given sample mean and standard deviation.
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