Your Company Is Evaluating Two Cloud-Based Secured Data Storage Services $\sigma$

question 51

Multiple Choice

Your company is evaluating two cloud-based secured data storage services."Pie in the Sky," the newer service, claims its uploading and downloading speeds are faster than the older service, "Cloudy but Steady Skies." You need to make a decision based on published access times for both services at different times and for varying file sizes.To make your decision, you purchase a statistical study, which indicates that average download time for Pie in the Sky is 0.77 sec.per MB and for Cloudy but Steady Skies is 0.84.Assume that n₁ = n₂ = 50, $\sigma$ ₁ = 0.2 and $\sigma$ ₂ = 0.3.With $\alpha$ = .05, the appropriate decision is ______.

• A)reject the null hypothesis \(\sigma\)₁² < \(\sigma\)₂²
• B)accept the alternate hypothesis \(\mu\)₁ − \(\mu\)₂ \(\gt\)0
• C)reject the alternate hypothesis n₁ = n₂ = 50
• D)fail to reject the null hypothesis \(\mu\)₁ − \(\mu\)₂ ≤ 0
• E)do nothing

---

Definitions:

Cultural Explanations

Interpretations or understandings of phenomena, behaviors, or conditions through the lens of cultural practices, beliefs, and norms.

Gender Differences

Variations in characteristics, behavior, and treatment based on an individual's sex, often studied in psychology and sociology.

Intellectual Abilities

The cognitive capacities of an individual, including the abilities to reason, plan, solve problems, think abstractly, comprehend ideas and language, and learn.

Component Mental Processes

Fundamental operations of the mind, such as perception, memory, and problem-solving.