SOLUTION: A film-processing company claims that the owners of digital cameras store on average more than fifteen pictures on their cameras, before the eventually download these to a compute

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Question 1195911: A film-processing company claims that the owners of digital cameras store on average more than fifteen
pictures on their cameras, before the eventually download these to a computer or print. A random sample
of 10 digital camera owners produced the data below on the number of pictures stored on their digital
cameras.
25 6 22 26 31 18 13 20 14 2
3.1) Test this claim at the 10 % level of significance. (10 marks)
3.2) Estimate with 95 % confidence the mean number of pictures stored on digital cameras.
(5 marks)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: mean is 15
Ha: mean is not 15
alpha=0.10 p{reject Ho|Ho true}
test statistic is a t (0.95; df=9) critical value is |t| >1.833
mean is 17.7 and s=9.08
t=(17.7-15)/9.08/sqrt(10)
=0.94
fail to reject the Ho; insufficient evidence to say that there is a difference at the 10% level. p-value=0.37
confidence interval will contain 15; it is 17.7+/-2.262*9.08/sqrt(10); the latter=6.50
The 95% confidence interval is 17.7+/- 6.50 or (11.20, 24.20) units pictures.