Please see the attached file for the fully formatted problems.

Question 1

During 2002 the number of beds required per day at St Hallam's hospital was normally distributed with a mean of 1800 and a standard deviation of 190. During the first 50 days of 2003 the average daily requirement for beds was 1830. A senior hospital manager claims that this gives evidence that the requirements for beds has changed since 2001. Do you agree?

Question 2

The following data were obtained in an experiment to estimate a possible relation between the number of showings in one week of a TV commercial in typical sales territories and the sales (in thousands of units) in that territory of the advertised article.

(i) Show that the data is significantly correlated.
(ii) Construct a scatter pot of the data.
(iii) Obtain a linear regression model for sales against number of showings per week.
(iv) What will be the estimated sales if there are 7 showings in a week? And for 20 showings?

... curves and hence different normal distributions. ... of the Normal Distribution: Continuous distribution Symmetrical distribution: Mean = Median ...

... 20 such pairs of people, the linear correlation coefficient ... and the equation of the regression line is ... Assume that the normal distribution applies Right-tailed ...

... solution shows step-by-step calculations to conduct a simple linear regression on bank ... area of α = 0.01 in the right tail of a standard normal distribution. ...

... hypothesis (Ho) for a simple linear regression equation? ... is fairly robust against departures from the normal distribution. As long as the distributions are not ...

... of soft drink filled can be represented by a normal distribution with the ... as the dependent variable, the company will conduct a simple linear regression on the ...

... the county is "coastal" or not in a multiple linear regression analysis using ... the residuals and comment on whether they appear to follow a normal distribution. ...

... test for a significant linear relationship between ... that the variable follows a normal distribution for each ... of and that the other regression assumptions are ...

... do not assume normal distribution. ... (ii) Find the equation for the linear regression equation that predicts average cost from production level. ...

... Assume that these distributions are distributed as normal... If you would like the normal distribution table so ... The use of linear regression is a critical tool ...

... Answer Normal distribution, since the sample is fairly large (n > 30). 11. ... The linear correlation is 0.8992, the equation of the regression line is y ...