Statistics for business
Order Description
This assignment consists of 2 parts (Part I and Part II).
Part I. Task Brief\
perform an independent samples t-test using SPSS. Your solution should be word-processed and submitted electronically.
Perform a suitable independent samples t-test on this data.
You should address the following questions, explaining your answers in detail:
(a) What is the population from which this sample was drawn?
(b) What is the purpose of Levene's Test? – Explain why it is important that Levene's Test is included in the output for this independent samples t-test
(c) What is the Null hypothesis for Levene's Test?
(d) Do we accept or reject the null hypothesis for Levene’s Test? – Explain why.
(e) Which of the two t-tests labelled “Equal variances assumed” and “Equal variances not assumed” should we use? – Explain why.
(f) In order to apply the t-test, what assumption do we make about the distribution of the errors?
(g) What is the null hypothesis for the t-test?
(h) Do we accept or reject the null hypothesis for the t-test? – Explain why.
(i) Is it appropriate to use a one-tailed or two-tailed test here? – Explain why.
(j) What overall conclusion can we draw from this output? – include a reference to the minimum difference between the amount of dollars spent by credit holders who received a standard seasonal ad
and those who received a promotional ad. that you would expect to find in the population.
Part II. Task Brief
Produce a suitable graph to investigate the relationship between the two variables, and report your findings.
Perform an appropriate regression analysis in SPSS, to predict sales figures given the price, and write a detailed report of your findings. Your report should address (but not necessarily be
confined to) the following questions:
(a) What percentage of the variation in car sales is accounted for by your model?
(b) What is the equation of best fit, and how do you interpret the coefficients in your model?
(c) By how much, on average, can we expect sales to increase if the list price increases by 10 points?
(d) What assumptions are made about the distribution of the data. If you are able to test whether the assumptions appear to be true, report on your results.
(e) On average, what level of sales can we expect when the list price is 10 thousand (of monetary units)?
(f) In a “worst case scenario”, what is the lowest level of sales that we would expect when the temperature is 10 thousand (of monetary units)? (Use a confidence level of 95%.)