What type of significance test would you run given the data above? What conditions must be satisfied for the test you have chosen in order to get valid results? Are the conditions satisfied? Run your test for significance using the data link above. Attach the data output including the hypotheses that you have chosen. Using the p-value (or critical values & test statistic), draw a proper conclusion and write said conclusion in context. Based on your conclusion, which type of error could have been made: a Type I error or a Type II error. Justify your answer.

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Here is the link to the Dot plot and I have attached an image of it too, Thank you!  https://www.statcrunch.com/app/index.php?dataid=3437275

Sometimes when you are sick, your forehead feels really warm. You might have fever. How can you find out whether you do? By taking your temperature , of course. But what temperature should the thermometer show if your're healthy? Is this temperature the same for everyone?

Several years ago, researchers conducted a study to determine whether the "accepted" value for normal body temperature, 98.6oF, is accurate. They used an oral thermometer to measure the temperatures of a random sample of healthy men and women aged 18 to 40. As is often the case, the researchers did not provide their original data.

Allen Shoemaker, from Calvin College, produced a data set with the same properties as the original temperature readings. His data set consists of one oral temperature reading for each of the 130 randomly chosen, healthy 18- to 40-year-olds. A dotplot of Shoemaker's temperature data is shown below. A vertical line at 98.6oF was added for reference.

Sometimes when you are sick, your forehead feels really warm. You might have fever. How can you find out whether you do? By taking your temperature , of course. But what temperature should the thermometer show if your're healthy? Is this temperature the same for everyone?

Several years ago, researchers conducted a study to determine whether the "accepted" value for normal body temperature, 98.6oF, is accurate. They used an oral thermometer to measure the temperatures of a random sample of healthy men and women aged 18 to 40. As is often the case, the researchers did not provide their original data.

Allen Shoemaker, from Calvin College, produced a data set with the same properties as the original temperature readings. His data set consists of one oral temperature reading for each of the 130 randomly chosen, healthy 18- to 40-year-olds. A dotplot of Shoemaker's temperature data is shown below. A vertical line at 98.6oF was added for reference.

  1. What type of significance test would you run given the data above?
  2. What conditions must be satisfied for the test you have chosen in order to get valid results? Are the conditions satisfied?
  3. Run your test for significance using the data link above. Attach the data output including the hypotheses that you have chosen.
  4. Using the p-value (or critical values & test statistic), draw a proper conclusion and write said conclusion in context.
  5. Based on your conclusion, which type of error could have been made: a Type I error or a Type II error. Justify your answer.
  6. If you were a researcher, what type of data would you be interested in collecting? What would your null and alternative hypotheses be?
The image displays a dot plot representing body temperatures in degrees Fahrenheit. Here's a detailed explanation of the graph:

**Dot Plot Explanation**

- **X-Axis:** The horizontal axis represents temperature measurements in degrees Fahrenheit (°F), ranging from approximately 96 to 101°F.
- **Y-Axis:** The vertical axis indicates the frequency of body temperature measurements, illustrated through stacked dots.
- **Data Representation:** Each dot corresponds to a specific temperature measurement. More stacked dots at a particular temperature indicate a higher frequency of that measurement.
- **Distribution:** The dots form a distribution that peaks around 98.6°F, suggesting this temperature is most commonly recorded, consistent with typical human body temperature.
- **Mean Indication:** A vertical magenta line is positioned at approximately 98.6°F, likely to indicate the mean or average body temperature of the dataset.

This dot plot visually summarizes a dataset of body temperatures, providing insight into the central tendencies and variability of the temperatures measured.
Transcribed Image Text:The image displays a dot plot representing body temperatures in degrees Fahrenheit. Here's a detailed explanation of the graph: **Dot Plot Explanation** - **X-Axis:** The horizontal axis represents temperature measurements in degrees Fahrenheit (°F), ranging from approximately 96 to 101°F. - **Y-Axis:** The vertical axis indicates the frequency of body temperature measurements, illustrated through stacked dots. - **Data Representation:** Each dot corresponds to a specific temperature measurement. More stacked dots at a particular temperature indicate a higher frequency of that measurement. - **Distribution:** The dots form a distribution that peaks around 98.6°F, suggesting this temperature is most commonly recorded, consistent with typical human body temperature. - **Mean Indication:** A vertical magenta line is positioned at approximately 98.6°F, likely to indicate the mean or average body temperature of the dataset. This dot plot visually summarizes a dataset of body temperatures, providing insight into the central tendencies and variability of the temperatures measured.
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