Gce Model Questions Vol1 2019 Mathematics Question 34

Practice objective / multiple choice question 34 from the 2019 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 34 GCE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

A sample of \(n=40\) observations has mean \(\bar{x}=15.2\) and standard deviation \(s=2.4\). Assuming the population is normal:\n\n(a) Construct a 95 % confidence interval for the population mean \(\mu\).\n\n(b) Using a two‑tailed test at the 5 % significance level, decide whether the hypothesis \(H_{0}:\mu=14.5\) should be rejected. State the interval and the conclusion.

Answer Options

A. 95% CI: (13.90, 15.50); hypothesis not rejected
B. 95% CI: (14.30, 15.80); hypothesis not rejected
Correct Answer C. 95% CI: (14.43, 15.97); hypothesis not rejected
D. 95% CI: (14.50, 16.10); hypothesis rejected
Correct Answer
C
Correct Option:
95% CI: (14.43, 15.97); hypothesis not rejected

About This Question

This is Gce Model Questions Vol1 2019 Mathematics Question 34. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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