Statistics and Probability Answers

If the calculated correlation coefficient is 0,59 what is the percentage of common variance between the variables?
1. 0,3481%
2. 34,81%
3. 59%
4. 1,18%

If the calculated correlation coefficient is 0,59 this means there is a positive but weak relationship between the X- and Y variables. Is this statement true or false?

The smaller the viriance, the closer the individual scores are to the mean. Is this statement true or false?

If you receive a negative value for a variance and standard, you must check your computations. Is this statement true or false?

A correlation of -0,87 is a___
1. Strong correlation, thus indicating a casual relationship.
2. Moderate negative correlation, thus indicating a weak relationship.
3. Calculation error as the relationship cannot be negative.
4. Strong negative correlation, thus indicating an inverse relationship.

E Chivers commenced business on 1 January 2016 and makes his accounts to 31 December
every year. For the year ended 31 December 2016, bad debts written off amounted to Sh. 12,000.
It was also found necessary to create a provision for bad debts of Sh. 20,000.
In 2017, debts amounting to Sh. 16,000 proved bad and were written off. Mrs A. Allen, whose
debt of Sh. 3,500 was written off as bad in 2016, settled her account in full on 30 November
2017. As at 31 December 2017, total debts outstanding were Sh. 560,000. It was decided to bring
the provision up to 5% of this figure on that date.
In 2018, Sh. 23,500 debts were written off during the year and another recovery of Sh. 1,500 was
made in respect of debts written off in 2016. As at 31 December 2018, total debts outstanding
were Sh. 420,000. The provision for doubtful debts is to be maintained at 5% of this figure.
You are required to prepare for years 2016, 2017 and 2018 the
A) Extract from the profit and loss account (2.5 Marks)

The life of a 60- watt light bulb in hours is known to be normally distributed with σ = 25
hours. Create 5 different random samples of 100 bulbs each which has a mean life of x_bar ~
1000 hours and perform one-way ANOVA with state it.

The life of a 60- watt light bulb in hours is known to be normally distributed with σ = 25
hours. Create 5 different random samples of 100 bulbs each which has a mean life of x_bar ~
1000 hours and perform one-way ANOVA with state it.

For a grouped frequency distribution that contains an expected class or category frequency that is less than 5, two or more classes can be combined so that the frequency is 5 or more.

True or False?

: Students arrive at restaurant at an average rate of 5 in 15 minutes.
14. (6 points) The probability that 3 students arrive in 15 minutes is