Question

1. A die is rolled 300 times; it lands five 58 times. Is this evidence significant enough to conclude that the die is not fairly balanced?

a) State the Null and Alternative hypothesis.

b) Draw the picture to state the rejection region for a significance level of 0.05.

c) Find the Test statistic value z.

d) Find the critical z-value.

e) Decide whether H_0 (null hypothesis) should be rejected, and state this conclusion in the problem context.

**2.** Continuing the previous die problem, suppose
that the true chance of landing five is 0.25. Draw the picture to
state the region of β, which is the probability of making the Type
II error.

Answer #1

A die is rolled 300 times; it lands five 58 times. Is this
evidence significant enough to conclude that the die is not fairly
balanced (alpha is 0.05)? ....Continuing the previous die problem,
suppose that the true chance of landing five is 0.25. Draw the
picture to state the region of , which is the probability of making
the Type II error.

Lightbulbs of a certain type are advertised as having an average
lifetime of 750 hours. The price of these bulbs is very favorable,
so a potential customer has decided to go ahead with a purchase
arrangement unless it can be conclusively demonstrated that the
true lifetime is smaller than what is advertised. A random sample
of 60 bulbs was selected. In this sample, the mean lifetime was
741.8 and the standard deviation was 19.2. What conclusion would be
appropriate for...

Part a.
a die rolled 53 times generated these results
numbers
1
2
3
4
5
6
Frequency
5
9
5
8
17
9
Using a significance level of .01 test the claim that the die is
fair and state the p value.
Part B
Which of the following is the appropriate hypothesis test to
answer the question of part a?
2-Sample T Test
2 Prop Z Test
2 Samp Z Test
Z Test
T Test
1 Prop Z Test...

1. A null hypothesis states that there is
A. No significant difference between a population parameter and
sample statistic.
B. A significant difference between a population parameter and
sample statistic.
C. The difference between the population parameter and sample
statistic is significant and can be attributed to sampling
error.
D. The difference between the population parameter and sample
statistic is insignificant and cannot be attributed to sampling
error.
E. None of the above
2. An alternative hypothesis states that there...

Please show all
work:
Assignment:
You will be answering problems #1 - #4. For each problem, you will
need to complete parts A through F. Please make sure you answer
each part completely and you offer justification where
necessary. Do all work "by hand" (not using StatCrunch)
as good practice for your next exam!
A) Write the claim
mathematically and state the null and alternative hypotheses.
B) Determine whether
the hypothesis test is left-tailed, right-tailed, or two tailed and
whether...

1. An unstandardized test of aggression has a mean of 35.19. You
take a sample of 44 video game players and find their scores on
this test have a mean of 39.84 and a standard deviation of 12.42.
Are their aggression scores greater than the standard of 35.19?
a. State the null and alternative hypotheses.
b. Find your critical value(s) with a criterion of .01. Remember
if the appropriate line is not available exactly in the table to
pick the...

Please show all work:
Assignment: You will be answering problems #1 - #4. For each
problem, you will need to complete parts A through F. Please make
sure you answer each part completely and you offer justification
where necessary. Do all work "by hand" (not using StatCrunch) as
good practice for your next exam!
A) Write the claim mathematically and state the null and
alternative hypotheses.
B) Determine whether the hypothesis test is left-tailed,
right-tailed, or two tailed and whether...

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