ere collected on calorie content in ales and IPAS and is summarized in the table. e Ale IPA 51 11 mple mean mple standard deviation 172.9 230.8 24.5 76.1 the sample provide evidence that there is a difference in calorie content for ales and IPAS? Assume the conditions for using a t-test are satisfied. Use a ance level of 0.05 for the hypothesis test. test had been to determine whether the mean for IPAS is significantly larger than the mean for ales, how would this change the alternative hypothesis and ? Test this hypothesis and write the conclusion for the test. mine the hypotheses for this test. Let µ, be the population mean calorie count of ales and let u, be the population mean calorie count of IPAS. Choose the answer below. O B. Ho: H1 #H2 Hai H1 = H2 O C. Ho: H1 = #2 Ha: H1 H2 O E. Ho: H1> H2 Ha: H1 = H2 O F. Ho: H1 < H2 Hạ: H1 = H2 e test statistic for ales - IPAS for this test. Round to two decimal places as needed.) o me solve this View an example Get more help - Clear all Check answer

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What's the t= ? And the p-value?

**Introduction to Statistics - 71766**

Data were collected on calorie content in ales and IPAs and is summarized in the table below:

- **Type:** Ale | IPA
- **N:** 51 | 11
- **Sample mean:** 172.9 | 230.8
- **Sample standard deviation:** 24.5 | 76.1

**Questions:**

a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAs? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test.

b. If the test had been to determine whether the mean for IPAs is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test.

---

**a. Determine the hypotheses for this test. Let μ₁ be the population mean calorie count of ales and let μ₂ be the population mean calorie count of IPAs. Choose the correct answer below.**

- **A.** H₀: μ₁ = μ₂; Hₐ: μ₁ ≠ μ₂
- **B.** H₀: μ₁ ≠ μ₂; Hₐ: μ₁ = μ₂
- **C.** H₀: μ₁ = μ₂; Hₐ: μ₁ < μ₂
- **D.** H₀: μ₁ = μ₂; Hₐ: μ₁ > μ₂
- **E.** H₀: μ₁ < μ₂; Hₐ: μ₁ = μ₂
- **F.** H₀: μ₁ < μ₂; Hₐ: μ₁ = μ₂

**Find the test statistic for ales – IPAs for this test.**

t = [ ] (Round to two decimal places as needed.)
Transcribed Image Text:**Introduction to Statistics - 71766** Data were collected on calorie content in ales and IPAs and is summarized in the table below: - **Type:** Ale | IPA - **N:** 51 | 11 - **Sample mean:** 172.9 | 230.8 - **Sample standard deviation:** 24.5 | 76.1 **Questions:** a. Does the sample provide evidence that there is a difference in calorie content for ales and IPAs? Assume the conditions for using a t-test are satisfied. Use a significance level of 0.05 for the hypothesis test. b. If the test had been to determine whether the mean for IPAs is significantly larger than the mean for ales, how would this change the alternative hypothesis and p-value? Test this hypothesis and write the conclusion for the test. --- **a. Determine the hypotheses for this test. Let μ₁ be the population mean calorie count of ales and let μ₂ be the population mean calorie count of IPAs. Choose the correct answer below.** - **A.** H₀: μ₁ = μ₂; Hₐ: μ₁ ≠ μ₂ - **B.** H₀: μ₁ ≠ μ₂; Hₐ: μ₁ = μ₂ - **C.** H₀: μ₁ = μ₂; Hₐ: μ₁ < μ₂ - **D.** H₀: μ₁ = μ₂; Hₐ: μ₁ > μ₂ - **E.** H₀: μ₁ < μ₂; Hₐ: μ₁ = μ₂ - **F.** H₀: μ₁ < μ₂; Hₐ: μ₁ = μ₂ **Find the test statistic for ales – IPAs for this test.** t = [ ] (Round to two decimal places as needed.)
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