Can anybody help me with my statistics questions? Absolutely lost.

Jaym1284

I have a repeat examination in Applied Statistics next week (UL) and am absolutely lost.

Particularly with these style questions:

Q1) (a) A bus company promotes a ‘one hour’ tour of a city. However, the managing director of the company believes the current route takes longer than 60 minutes to complete. A random sample of 14 tours is taken and their duration recorded. The mean duration is 63.87 minutes with a standard deviation of 23 minutes.

(i) Does the sample data support the bus company's claim? Test this hypothesis using a 5% level of significance. Clearly state your null and alternative hypotheses and your conclusion.

(ii) Calculate a 95% confidence interval for the population mean duration of the bus tour.



Q2)
The Managing Director of a well-known airline claims that 75% of the people who fly with his airline make a purchase in the duty-free shop at the airport they fly from. In a sample of 100 customers, 68 had made a purchase at the duty free-shop.

(i) Calculate a 95% confidence interval for the proportion of people who make a purchase at the duty-free shop.




I've tried just about everything, but still have no idea on how to to tell the difference between those type of questions, or what formula I should use for each individual one.
All in all, I'm lost.


Any help at all would be greatly appreciated!

locum-motion

Step one might be to make sure that you quote the questions accurately.

The first one starts off with the MD of the company and finishes with a travel journalist.

Jaym1284

locum-motion wrote: »

Step one might be to make sure that you quote the questions accurately.

The first one starts off with the MD of the company and finishes with a travel journalist.

Only noticed that there actually, funnily enough that's the way it's written on the paper. Edited it anyway for clarity.

defrule

The first question is a one-tailed t-test I believe.

Second question is a test of proportions.