Question

Your mail-order company advertises that it ships 90% of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. Note: It could be assumed that it satisfies all four conditions of the Binomial experiment.

a) If the company really ships 90% of its orders on time, what is the probability that 86 or fewer in an SRS of

100 orders are shipped on time? (Hint: Consider Normal
approximation) **[4]**

b) A critic says, “Aha! You claim 90%, but in your sample the
on-time percent is only 86%. So the 90% claim is wrong.” Explain in
simple language why your probability calculation in (a) shows that
the result of the sample does not refute the 90% claim.
**[1]**

Answer #1

Your mail-order company advertises that it ships 90% of its
orders within three working days. You select an SRS of 100 of the
5000 orders recieved in the past week for an audit. The audit
reveals that 86 of these orders were shipped on time.
(a) If the company really ships 90% of its orders on time, what
is the probability that 86 or fewer in an SRS of 100 orders are
shipped on time?
(b) A critic says "Aha!...

Your mail-order company advertises that it ships 90% of its
orders within three working days. You select an SRS of 100 of the
5000 orders recieved in the past week for an audit. The audit
reveals that 86 of these orders were shipped on time.
(a) If the company really ships 90% of its orders on time, what
is the probability that 86 or fewer in an SRS of 100 orders are
shipped on time?
(b) A critic says "Aha!...

Cassandra's Cogs states in its advertisement that 90% of its
orders are ready to ship within three working days. A simple random
sample of 100 of the 2,500 orders received during the past month
are pulled for an audit. The audit shows that 84 of these orders
were shipped on time.
Part A: If Cassandra's Cogs really ships 90% of
its orders within three working days, what is the probability that
the proportion in the simple random sample of 100...

Monogram Masters advertises on its website that 92% of customer
orders are received within five working days. They performed an
audit from a random sample of 200 of the 3,000 orders that month
and it shows 175 orders were received on time.
Part A: Can we use a normal approximation?
Explain. (5 points)
Part B: If Monogram Masters customers really
receive 92% of its orders within five working days, what is the
probability that the proportion in the random sample...

Monogram Masters states on its website that 92% of its orders
are ready to ship within five working days. A simple random sample
of 200 of the 3,000 orders received during the past month are
pulled for an audit. The audit shows that 175 of these orders were
shipped on time.
Part A: If Monogram Masters really ships 92% of
its orders within five working days, what is the probability that
the proportion in the simple random sample of 200...

As part of a quality improvement program, your mail-order
company is evaluating the process of filling customer orders.
According to company standards, an order is shipped on time if it
is sent within two working days of the time it is received. You
select an SRS of 201 of the 6,000 orders received in the past month
for an audit. The audit reveals that 109 of these orders were
shipped on time.
What is the upper endpoint of a 99%...

5a
as part of a quality
improvement program, your mail-order company is evaluating the
process of filling customer orders. According to company standards,
an order is shipped on time if it is sent within two working days
of the time it is received. You select an SRS of 234 of the 6,000
orders received in the past month for an audit. The audit reveals
that 101 of these orders were shipped on time.
What is the
upper endpoint of a...

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