Question
In: Statistics and Probability
a) Merchandise is sold at concerts. The manager of a concert claims that the mean value...
a) Merchandise is sold at concerts. The manager of a concert
claims that the mean value of merchandise sold to premium ticket
holders is more than the mean value of merchandise sold to standard
ticket holders. The mean value of merchandise sold to a random
sample of 60 standard ticket holders at the concert is $15 with a
standard deviation of $10. The mean value of merchandise sold to a
random sample of 55 premium ticket holders at the concert is $23
with a standard deviation of $8. Test the manager’s claim at the 5%
level of significance. State your hypothesis clearly. (8) b) For
the test in part a), state whether or not it is necessary to assume
that values of merchandise sold have normal distributions. Give a
reason for your answer. (2) c) A machine fills packets with
almonds. The weight, in grams, of almonds in a packet is modelled
by ?(?,?2). To check that the machine is working properly, a random
sample of 10 packets is selected and unbiased estimates for ? and
?2 are ?̅ = 202 and ?2 = 3.6
Stating your hypothesis clearly, test, at the 1% level of
significance, whether or not the mean weight of almonds in a packet
is more than 200g.
(5)
d) In order to test ?0: ? ≤ 35 versus ?1: ? > 35, a random
sample of ? = 15 is obtained from a population that is normally
distributed. The sample had a standard deviation of ? = 37.4. Test
this hypothesis at the level of significance of 1%.
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orchestra answered 2 years agoRelated Solutions
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