The departure time of the 9:15 train from Kings Cross to Cambridge is claimed by the Service Providers to be on average within the 3 minute delay time allowed. A group of commuters collected a sample of 100 departure times, d and obtained the following data:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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Q1. Complete the Table:
Growth Rate
Compounding Growth factor
Frequency
P.V.
F.V.
£
4% for each of 10years
4% for each of 10years
r for T years
10%
1000
Annual
P
Semi-annual
continuous
annual
805.26
4% for 3 years and 5% for 2
100(1.04) (1.05)
years
5% for T years.
100
continuous
128.40
5) The departure time of the 9:15 train from Kings Cross to Cambridge is claimed by the Service
Providers to be on average within the 3 minute delay time allowed. A group of commuters collected
a sample of 100 departure times, d and obtained the following data:
Sample mean of delayed time, d = 4.6; sample variance, s = 6.25. Can the claim that the delay time
is above the 3 minutes delay time allowed be accepted at the 5% significance level?
Transcribed Image Text:Q1. Complete the Table: Growth Rate Compounding Growth factor Frequency P.V. F.V. £ 4% for each of 10years 4% for each of 10years r for T years 10% 1000 Annual P Semi-annual continuous annual 805.26 4% for 3 years and 5% for 2 100(1.04) (1.05) years 5% for T years. 100 continuous 128.40 5) The departure time of the 9:15 train from Kings Cross to Cambridge is claimed by the Service Providers to be on average within the 3 minute delay time allowed. A group of commuters collected a sample of 100 departure times, d and obtained the following data: Sample mean of delayed time, d = 4.6; sample variance, s = 6.25. Can the claim that the delay time is above the 3 minutes delay time allowed be accepted at the 5% significance level?
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