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

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

All optionsOption AOption BOption C

Question 9

PlanningChallenge

A risk has probability 40% and impact £3,700. A mitigation costs £500. Compare mitigation with expected cost.

Ignore the probability and choose the smaller cash amountExpected cost is £4,200Mitigation is justified by £980.00Mitigation is always justified because the impact is £3,700

Question 10

FinanceCore

Find the present value of £25,700 due in 2 years using a discount rate of 5%.

£24,476.19£28,334.25£23,130.00£23,310.66

Question 11

StatisticsCore

A two-proportion z-test comparing response rates gives p = 0.160. At 5%, what is the conclusion?

There is evidence that the population proportions differThe sample proportions are both zeroThere is insufficient evidence that the population proportions differThe populations have equal means

Question 12

ModellingChallenge

Speed is modelled by v = dt. Distance may have up to 3% relative error and time up to 4%. Estimate the maximum relative error in v.

12%1%3.5%7%

Mixed revision

Generated balanced mixed revision