The standard deviation for all medium size hot dogs is 49.99 calories. A random selection of 55 different brands of medium size hot dogs has a mean of 239 calories. Comfort Food Magazine states the mean calories of a medium size hot dog size is 233. Is there sufficient evidence to conclude that the mean calories of a medium size hot dog is 233 based on level of significance of 0.03? ### Transcription and Explanation#### Finding Critical Values (CV)- **Question**: To find our Critical Value(s) (CV), will we use invNorm(), invT()? - **Options**: - Dropdown menu option: `invNorm()`#### Explanation- **Question**: Please explain the reason for the correct answer for step c. - **Answer**: The population standard deviation is given (σ).#### Calculation- **Instruction**: Round to Two Decimal Places - **CV1**: [Input Box] - **CV2**: [Input Box]#### Formula Selection- **Question**: What formula will we use for the test value? - **Options**: 1. \( t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}} \) 2. \( z = \frac{\hat{p} - p}{\sqrt{\frac{p \cdot q}{n}}} \) 3. \( z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}} \) *(This option is selected)* 4. \( z = \frac{(\hat{p}_1 - \hat{p}_2) - (p_1 - p_2)}{\sqrt{\hat{p}(1 - \hat{p})(\frac{1}{n_1} + \frac{1}{n_2})}} \)This content is structured to guide students in selecting the appropriate tool and formula for statistical calculations based on given conditions, particularly when the population standard deviation is provided. **Title: Statistical Analysis: Calculating Test Values****Instructions:****Step g**: Determine the values for each part of our test value formula. Once completed, use this information to calculate the test value.1. **Round to the Nearest Whole Number:** - \( \bar{x} \) (Sample Mean): ___ - \( \mu \) (Population Mean): ___ *(Note: Assume \( H_0 \) (the null hypothesis) is true until there is evidence against it.)*2. **Round to Two Decimal Places:** - \( \sigma \) (Standard Deviation): ___3. **Sample Size:** - \( n \) (Sample size): ___4. **Round to Two Decimal Places:** - \( z \) (Z-score): ___**Step h**: Choose the option that best represents where the test value will be situated on the appropriate normal distribution curve.- **Left-Tail Test** This section emphasizes calculating components of the test value and understanding their placement in statistical analysis.

Name: The standard deviation for all medium size hot dogs is 49.99 calories.
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The standard deviation for all medium size hot dogs is 49.99 calories. A random selection of 55 different brands of medium size hot dogs has a mean of 239 calories. Comfort Food Magazine states the mean calories of a medium size hot dog size is 233.

c) To find our critical value(s) (cv) we will use invNorm(), invT() ? Answer: invNorm() d) The population standard deviation is given (σ) To find critical values: The critical value of z is obtained Ti 83 calculator function “=invNorm(Probability, mean, standard deviation)”. Output obtained from Ti 83 calculator is given below: From the output, the critical value CV1 is -2.17 The critical value CV2 is 2.17 f) The formula for the test value is z=x-μσng) Values of each component for test value formula: x=239μ=233σ=49.99n=55 The test statistic will be obtained as below: z=239-23349.9955 =66.7407 =0.89 Thus, the test statistic z is 0.89