### Statistical Hypothesis Testing: Null and Alternative Hypotheses**7. Duration of a Typical Cold:**Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers aim to determine if people tend to underestimate the average duration. They conducted a survey of 352 healthy adults in Georgia to gather their estimations.**Hypotheses:**What are the null ($H_0$) and alternative ($H_a$) hypotheses the researchers intend to test?- **a.** $H_0: \mu = 18$ $H_a: \mu < 18$ - **b.** $H_0: \mu = 6.9$ $H_a: \mu < 8.2$- **c.** $H_0: \mu = 18$ $H_a: \mu \neq 18$ - **d.** $H_0: \bar{x} = 7.55$ $H_a: \bar{x} \neq 7.55$ ---**8. Insulin Syringe Volume Verification:**A company produces U-100 insulin syringes intended to contain 1 milliliter (ml) of solution. A sample of 8 syringes was measured to verify the volume. Results are shown below (in ml):\[ 1.05, 1.04, 1.06, 1.01, 0.98, 0.98, 1.03, 0.99 \]**Question:**Is there evidence that the true mean solution volume differs from 1 ml?**Appropriate Null Hypothesis:**- **a.** $H_0: \mu = 0$ - **b.** $H_0: \mu = 1$ - **c.** $H_0: \mu = 1.0175$ - **d.** $H_0: \bar{x} = 1.0175$ ---**9. Alternative Hypothesis for Syringe Volume:**Referring to the syringe problem, identify the appropriate alternative hypothesis.- **a.** $H_a: \mu \neq 1$ - **b.** \(H_a:

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roughly 18 days. Researchers wante know if people tend to underestimate the duration of a typical cold, on average. They surveyed a ranc sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. What are the null and alternative hypotheses that these researchers wanted to test? a. H : μ= 18 b. H: μ= 69 c. Ho : u = 18 d. Ho: X 7.55 H, : µ < 18 H:u< 8.2 H : u # 18 H: X +7.55

roughly 18 days. Researchers wante know if people tend to underestimate the duration of a typical cold, on average. They surveyed a ranc sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. What are the null and alternative hypotheses that these researchers wanted to test? a. H : μ= 18 b. H: μ= 69 c. Ho : u = 18 d. Ho: X 7.55 H, : µ < 18 H:u< 8.2 H : u # 18 H: X +7.55

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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