Part 7 of 9 (f) Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.05 level of signifi Find the critical value. Round answers to at least three decimal places. Critical value is

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Part 7 please
**Hypothesis Testing for Grade Distribution**

Part: 6 / 9

**Part 7 of 9**

(f) Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.05 level of significance.

- Find the critical value. Round answers to at least three decimal places.

*Input Box for Critical Value*

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Transcribed Image Text:**Hypothesis Testing for Grade Distribution** Part: 6 / 9 **Part 7 of 9** (f) Test the hypothesis that the grades follow the distribution claimed by the teacher. Use the 0.05 level of significance. - Find the critical value. Round answers to at least three decimal places. *Input Box for Critical Value* --- **Additional Options:** - **Skip Part:** Allows users to skip to the next segment without answering. - **Check Answer:** Submits the current response for evaluation. **Website Features:** - **Save For Later:** Users can save their progress and return to complete the assignment at a later time. - **Submit Assignment:** Finalizes all entries for grading. **Notes:** The image is possibly part of an online educational platform from McGraw Hill, as indicated by the footer with © 2021 McGraw Hill LLC. Various document files are open in the taskbar, suggesting ongoing academic activities.
**Grade Distribution Analysis**

A statistics teacher claims that, on average, her students receive grades based on the following distribution:
- 5% receive a grade of A
- 8% receive a grade of B
- 61% receive a grade of C
- 16% receive a grade of D
- 10% receive a grade of F

The grades of a random sample of 100 students were recorded, and the results are presented in the table below:

| Grade | A | B | C  | D  | F |
|-------|---|---|----|----|---|
| Observed | 4 | 15 | 54 | 19 | 8 |

**Questions and Analysis**

**Part 1 of 9**
- How many of the students in the sample got a B? How many got an F?
  - The number of students who got a B is **15**.
  - The number of students who got an F is **8**.

**Part 2 of 9**
- Compute the expected frequencies for each grade category.

In this context, observed frequencies refer to the actual grades recorded, while expected frequencies are the grades predicted by the teacher’s distribution percentages. Calculation of expected frequencies involves applying the given percentage to the sample size of 100 students.

**Diagram Description:**
The image contains a table comparing the observed frequencies of grades A to F with instructions to compute the expected frequencies as a part of understanding data distribution and statistical expectations.
Transcribed Image Text:**Grade Distribution Analysis** A statistics teacher claims that, on average, her students receive grades based on the following distribution: - 5% receive a grade of A - 8% receive a grade of B - 61% receive a grade of C - 16% receive a grade of D - 10% receive a grade of F The grades of a random sample of 100 students were recorded, and the results are presented in the table below: | Grade | A | B | C | D | F | |-------|---|---|----|----|---| | Observed | 4 | 15 | 54 | 19 | 8 | **Questions and Analysis** **Part 1 of 9** - How many of the students in the sample got a B? How many got an F? - The number of students who got a B is **15**. - The number of students who got an F is **8**. **Part 2 of 9** - Compute the expected frequencies for each grade category. In this context, observed frequencies refer to the actual grades recorded, while expected frequencies are the grades predicted by the teacher’s distribution percentages. Calculation of expected frequencies involves applying the given percentage to the sample size of 100 students. **Diagram Description:** The image contains a table comparing the observed frequencies of grades A to F with instructions to compute the expected frequencies as a part of understanding data distribution and statistical expectations.
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