1.

Parts a) and b) are NOT related. All are compulsory.

a) A consumer group believes that a restaurant has menu items with a higher calorie intake than the restaurant is advertising on their website. The restaurant website states that there is an average of 490 calories per menu item. The consumer group takes a random sample of 16 menu items and gets the calorie content measured at a laboratory. The laboratory finds an average calorie content of 500 calories per item with a standard deviation of 35 calories. Assume the conditions are satisfied and do NOT need to be checked here.

i) Write the hypotheses to test the consumer group's claim.

ii) Find the calculated test statistic. SHOW BASIC WORKINGS.

iii) If testing at the 1% level of significance, give the critical value.

iv) Give your DECISION, briefly explain your reasoning.

v) Is there support for the consumer group's claim? Briefly explaining your reasoning.

b) You are told that the following hypotheses were used to test whether the mean time to assemble a part differed from 0.45 seconds.

Ho: = 0.45

Ha: 0.45

Describe in your own words, a Type II error in this context.

2.

The owner of a store wants to investigate the multiple linear regression between annual electricity bill ($000) with store openingtimes (hours)and the temperature outside (degrees Celsius) . A random sample was taken (given below), and Excel was used to crrated the following multiple linear regression output.

a) Interpret the coefficient of opening times.

b)Using the 5% significance level, test whether this is a significant linear relationship between electricity bill and opening times; give hypotheses, your reasoning, decision and conclusion.