quest hat hypothesis testing procedure should you use to answer ssume all samples are simple random samples, and assume x = 0.05 if it isn't ecified. random sample of size 21 was taken from a normal population. The sample = 0.05, erage was 9.87 and the population SD is known to be 1.17. Assuming α = What test should you use for testing whether the population mean equals 9.7? One sample z-test for the population mean. Two sample z-test for the population means. One sample z-test for proportions. Two sample z-test for proportions. One sample t-test for the population mean. None of our hypothesis tests fit. 23

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## Hypothesis Testing Procedure Selection

### Question:
What hypothesis testing procedure should you use to answer these questions? Assume all samples are simple random samples, and assume α = 0.05 if it isn’t specified.

### Given Data:
- A random sample of size 21 was taken from a normal population.
- The sample average (mean) was 9.87.
- The population standard deviation (SD) is known to be 1.17.
- Assume α = 0.05.

### Hypothesis Test Question:
What test should you use for testing whether the population mean equals 9.7?

### Options:
1. One sample z-test for the population mean.
2. Two sample z-test for the population means.
3. One sample z-test for proportions.
4. Two sample z-test for proportions.
5. One sample t-test for the population mean.
6. None of our hypothesis tests fit.

### Explanation of Graphs and Diagrams:
This question does not include any graphs or diagrams. The information provided is textual, focusing on numerical data required to select an appropriate hypothesis testing procedure.

### Answer:
The correct testing procedure to use in this scenario is **one sample z-test for the population mean**, because:
- The sample size is small (n < 30).
- The population standard deviation is known.
- The population is normally distributed.
- We are testing the mean of one sample only.
Transcribed Image Text:## Hypothesis Testing Procedure Selection ### Question: What hypothesis testing procedure should you use to answer these questions? Assume all samples are simple random samples, and assume α = 0.05 if it isn’t specified. ### Given Data: - A random sample of size 21 was taken from a normal population. - The sample average (mean) was 9.87. - The population standard deviation (SD) is known to be 1.17. - Assume α = 0.05. ### Hypothesis Test Question: What test should you use for testing whether the population mean equals 9.7? ### Options: 1. One sample z-test for the population mean. 2. Two sample z-test for the population means. 3. One sample z-test for proportions. 4. Two sample z-test for proportions. 5. One sample t-test for the population mean. 6. None of our hypothesis tests fit. ### Explanation of Graphs and Diagrams: This question does not include any graphs or diagrams. The information provided is textual, focusing on numerical data required to select an appropriate hypothesis testing procedure. ### Answer: The correct testing procedure to use in this scenario is **one sample z-test for the population mean**, because: - The sample size is small (n < 30). - The population standard deviation is known. - The population is normally distributed. - We are testing the mean of one sample only.
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