Kayden takes a simple random sample of 24 professional hockey players and 16 professional baseball players. In his sample, the hockey players had a mean weight of 197.57 pounds with a standard deviation of 16.58 pounds. The baseball players had a mean weight of 208.63 pounds with a standard deviation of 18.62 pounds. Calculate a 95% confidence interval for the differences between weights. Please write your answers to at least four decimal places. a. Critical value: t* = b. Degrees of freedom: c. Standard error: d. Point estimate: e. Margin of error: f. Confidence interval: < Hd <

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### Confidence Interval Calculation for Difference in Weights

Kayden takes a simple random sample of 24 professional hockey players and 16 professional baseball players. In his sample, the hockey players had a mean weight of 197.57 pounds with a standard deviation of 16.58 pounds. The baseball players had a mean weight of 208.63 pounds with a standard deviation of 18.62 pounds.

Calculate a 95% confidence interval for the differences between weights. Please write your answers to at least four decimal places.

a. **Critical value:** \( t^* = \) [______]

b. **Degrees of freedom:** [______]

c. **Standard error:** [______]

d. **Point estimate:** [______]

e. **Margin of error:** [______]

f. **Confidence interval:** [______] \( < \mu_d < \) [______]

Click on "Submit Question" after filling out all fields.

---

### Explanation of Graphs/Diagrams

There are no graphs or diagrams on this page; the information is purely statistical and asks for manual calculations based on given data. The user is required to fill out the details of the critical value, degrees of freedom, standard error, point estimate, margin of error, and finally, the confidence interval for the differences between the weights of the two samples.
Transcribed Image Text:### Confidence Interval Calculation for Difference in Weights Kayden takes a simple random sample of 24 professional hockey players and 16 professional baseball players. In his sample, the hockey players had a mean weight of 197.57 pounds with a standard deviation of 16.58 pounds. The baseball players had a mean weight of 208.63 pounds with a standard deviation of 18.62 pounds. Calculate a 95% confidence interval for the differences between weights. Please write your answers to at least four decimal places. a. **Critical value:** \( t^* = \) [______] b. **Degrees of freedom:** [______] c. **Standard error:** [______] d. **Point estimate:** [______] e. **Margin of error:** [______] f. **Confidence interval:** [______] \( < \mu_d < \) [______] Click on "Submit Question" after filling out all fields. --- ### Explanation of Graphs/Diagrams There are no graphs or diagrams on this page; the information is purely statistical and asks for manual calculations based on given data. The user is required to fill out the details of the critical value, degrees of freedom, standard error, point estimate, margin of error, and finally, the confidence interval for the differences between the weights of the two samples.
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