3a. The management team of a soccer stadium wants to estimate the average amount (in Rand) spent on snacks and cool drinks per spectator. It is known that the amount (in Rand) is normally distributed. A random sample of 40 spectators was selected and the sample mean is R37.93 and the sample standard deviation is R7. Calculate a 95% confidence interval estimate of the actual average amount spent by a spectator and interpret the results.
3b. The age of 10 randomly selected soccer supporters is given below: 55 58 60 62 68 22 23 40 28 42
Given: s ?17.13 Test at a 5% level of significance if the average age of a soccer supporter is greater than 50.
i. Write down the null and alternative hypotheses.
ii. Calculate the test statistic
iii. Determine the rejection region.
iv. Make a decision and draw a conclusion.