Higher Applications Mixed Revision

Question 1

FinanceChallenge

A £5,200 loan allows a 3-month repayment holiday. Interest of 1% is added monthly and no payments are made. Find the balance after the holiday.

£5,357.57£5,356.00£5,045.55£5,203.00

Question 2

StatisticsSupport

A study records reaction times before and after training for the same participants. Which test design is appropriate?

A two-proportion z-testA test with no pairing informationA paired t-testAn independent-samples t-test

Question 3

ModellingChallenge

Speed is modelled by v = dt. Distance may have up to 3% relative error and time up to 2%. Estimate the maximum relative error in v.

2.5%5%1%6%

Question 4

PlanningCore

A project has 40% chance of profit £3,000 and otherwise profit £1,400. Find the expected profit.

£1,200.00£4,400.00£840.00£2,040.00

Question 5

SpreadsheetSupport

A table must be ordered by Date while keeping each row together. What should be selected before sorting?

One cell outside the tableThe whole data tableOnly the Date headingThe chart title

Question 6

RStudioSupport

Which base-R command imports temperatures.csv into an object called data?

import("data", "temperatures.csv")read.csv <− data("temperatures.csv")data <− write.csv("temperatures.csv")data <− read.csv("temperatures.csv")

Question 7

RStudioCore

Which R argument sets the alternative hypothesis to "less" in a compatible test?

null = "less"test(less)alternative = "less"p.value = "less"

Question 8

StatisticsCore

A time series has similar peaks and troughs repeating every 4 quarters. Which feature should be reported?

No variationSeasonalityA Type I errorA causal relationship

Question 9

RStudioSupport

Which base-R command imports sales.csv into an object called data?

read.csv <− data("sales.csv")import("data", "sales.csv")data <− write.csv("sales.csv")data <− read.csv("sales.csv")

Question 10

FinanceChallenge

Compare two 6-year savings options for a £6,000 deposit. Option A pays 3.1% compound interest. Option B adds a £190 opening bonus then pays 2.7% compound interest. Which gives more?

Option A by £56.80Option B by £56.80They are exactly equalOption A by £106.80

Question 11

PlanningChallenge

A project must cost at most £1,200, finish within 7 days and provide capacity for at least 80 people. Which option satisfies every constraint?

Project options
Option	Cost	Duration	Capacity
A	£1,080	8 days	70
B	£1,280	6 days	90
C	£1,180	7 days	85

Option AOption BOption CAll options

Question 12

StatisticsCore

Two groups have similar mean scores. Group A: mean 68, standard deviation 3.4. Group B: mean 71, standard deviation 6.9. Which interpretation is best?

Summary statistics
Group	Mean	Standard deviation
A	68	3.4
B	71	6.9

Group A is more consistent because its standard deviation is smallerStandard deviation describes the centre of the dataThe means prove every Group A score is higherGroup B is more consistent because its standard deviation is larger

Mixed revision

Balanced mixed revision