Suppose a large shipment of stereos contained 3% defectives. If
a sample of size 396 is...
Suppose a large shipment of stereos contained 3% defectives. If
a sample of size 396 is selected, what is the probability that the
sample proportion will be greater than 5%? Round your answer to
four decimal places.
Suppose a large shipment of microwave ovens contained 4%
defectives. If a sample of size 362 is selected, what is the
probability that the sample proportion will differ from the
population proportion by less than 3%? Round your answer to four
decimal places.
Suppose a large consignment of cameras contained 6% defectives.
If a sample of size 226 is selcted what is the probablity that the
sample proportion will differ from the population proportion by
less than 3%? Round answer to four decimal places
Suppose that the proportion θ of defective items in a large
shipment is unknown, and that the prior distribution of θ is a beta
distribution for which the parameters are α = 2 and β = 200. If 100
items are selected at random from the shipment and if three of
these items are found to be defective, what is the posterior
distribution of θ?
Businesses often sample products to test the proportion of
defectives. Suppose a company that assemble automobiles wants to
check the quality of batteries it buys from a supplier. Out of each
shipment of 1,000 batteries, they will take a sample of 10 and test
them. Assuming that, in fact, 2% of the batteries are defective,
how likely are they to reject a shipment? Generate the binomial
table (Even though it may seem illogical, consider a defective to
be a ‘success’...
Suppose that a sample of size 3 is drawn from a population
consisting of the six values 4, 8, 5, 3, 8, and 4, and that the
proportion of values that are greater than 4 is recorded. Find the
sampling distribution of this statistic by listing all possible
such samples of size 3. Find the mean and variance of the sampling
distribution.
A retailer discovers that 3 jars from his last shipment of
Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut
butter, despite the labeling indicating that each jar should
contain 16 oz. of peanut butter. He is wondering if Spiffy is
cheating its customers by filling its jars with less product than
advertised. He decides to measure the weight of 50 jars from the
shipment and use hypothesis testing to verify this.
(a) What are the null and...
A retailer discovers that 3 jars from his last shipment of
Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut
butter, despite the labeling indicating that each jar should
contain 16 oz. of peanut butter. He is wondering if Spiffy is
cheating its customers by filling its jars with less product than
advertised. He decides to measure the weight of 50 jars from the
shipment and use hypothesis testing to verify this.
(a) What are the null and...
A retailer discovers that 3 jars from his last shipment of
Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut
butter, despite the labeling indicating that each jar should
contain 16 oz. of peanut butter. He is wondering if Spiffy is
cheating its customers by filling its jars with less product than
advertised. He decides to measure the weight of 50 jars from the
shipment and use hypothesis testing to verify this.
(a) What are the null and...
A retailer discovers that 3 jars from his last shipment of
Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut
butter, despite the labeling indicating that each jar should
contain 16 oz. of peanut butter. He is wondering if Spiffy is
cheating its customers by filling its jars with less product than
advertised. He decides to measure the weight of 50 jars from the
shipment and use hypothesis testing to verify this.
(a) Should the null hypothesis be...