In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, 1 out of every three awards is a larger
2 answers:
Answer:
Step-by-step explanation:
Given : Six out of every 10 tickets are winning tickets.
Of the winning tickets, 1 out of every three awards is a larger prize.
Solution :
Since 10 tickets are drawn
Out of 10 , 6 tickets are wining
All six will get awards
Out of three awards 1 is a larger pize and total there are six awards
So, out of six awards there are 2 larger awards
Thus out of 10 tickets there are 2 larger awards
⇒
Thus, The probability that a ticket that is randomly chosen will award a larger prize is
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Answer:
We conclude that the sonnets were written by by a certain Elizabethan poet.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8.9
Sample mean, =10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
Now,
b) We calculate the p value with the help of z-table.
P-value = 0.1003
The p-value is greater than the significance level which is 0.05
c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.