City Guilds Model Questions Vol1 2019 Information Technology Question 10

Practice objective / multiple choice question 10 from the 2019 City Guilds Model Questions Vol1 Information Technology examination.

City Guilds Model Questions Vol1 2019 Information Technology Objective / Multiple Choice Hard Difficulty
Question 10 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2019 • INFORMATION_TECHNOLOGY • objective

A population has an unknown mean \(\mu\) for a measurement X. The population standard deviation is known to be \(\sigma = 9\). A random sample of \(n = 25\) observations yields a sample mean \(\bar{x}=48\). Test the null hypothesis \(H_{0}: \mu = 45\) against the two‑tailed alternative at the 5 % significance level using the appropriate z‑test. Compute the test statistic, the p‑value (to three decimal places), and state the conclusion.

Answer Options

A. z = 0.500, p = 0.617, fail to reject H₀
Correct Answer B. z = 1.667, p = 0.095, fail to reject H₀
C. z = 2.333, p = 0.020, reject H₀
D. z = 1.200, p = 0.230, fail to reject H₀
Correct Answer
B
Correct Option:
z = 1.667, p = 0.095, fail to reject H₀

About This Question

This is City Guilds Model Questions Vol1 2019 Information Technology Question 10. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Information Technology examination.

Difficulty level: Hard .

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