Search & Filtering
5. A small-town carnival has a simple game that you can play with a number cube. If you roll a
6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After
watching other children play the game 50 times, only 2 children have won a teddy bear. You
decide to simulate the game with a random number table.
a) Determine labels for your outcomes.
b) Using the random number table below, determine how many times a “6” appears in 50 trials.
c) What percentage of a “6” in 50 trials did you get from the simulation?
d) What percentage of a “6” did you observe at the carnival?
e) How do your answers for parts (c) and (d) compare? What does this tell you about the
4. The host of a national talent competition invites all of the show’s viewers to vote for their favorite contestant. To vote, the viewer sends a text message to a contestant’s number. Identify the population and the sample. What type of bias could occur here?
3. To determine monthly rental prices of apartment units in the San Francisco area, samples were constructed in the following ways. Categorize each sampling technique described (cluster, convenience, simple random, stratified, systematic).
a) Number all the units in the area and use a random number table to select the apartments to include in the sample.
b) Group the apartment units according to number of bedrooms and then sample from each of the groups.
c) Select 5 zip codes at random and include every apartment unit in the selected zip codes.
d) Look in the newspaper and consider the first twenty apartment units that list rent per month.
e) Call every 5th apartment complex listed in the yellow pages and record the rents of the units.
1. When data is calculated from the entire population, it is called a .
When data is calculated from a sample of the population it is called a .
2. The Colorado State Legislature wants to estimate the length of time it takes a resident of Colorado to earn a bachelor’s degree from a state college or university. A random survey of 265 recent in-state
graduates was taken.
a) Describe the population
b) What is the variable of interest?
A manufacture of rayon wants to compare that the yield strength of 5 11⋅ kg/ 2 mm is
met or not at 5% level of significance. The manufacturer draws a sample and
calculates the mean to be 8 12⋅ kg/ 2 mm and the standard derivation is known to be
2⋅0kg/ mm .
2
Carry out the statistical test appropriate for this.
in between z= -3.28 and z= 2.56.
to the right of z= -1.89
Samples of three cards are drawn at random from a population of eight cards numbered from 1 to 8.
A. How many possible samples can be drawn?
B. Construct the sampling distribution of sample means.
Two fair dice are tossed simultaneously and the bigger of the two numbers obtained is recorded. If A represent the event 'bigger number is 4' and B represents the event 'bigger number is odd', find:
a.) P(A)
b.) P(A U B)
A shipment of 100 bags of sugar is rumoured to have some bags that contain illegal drugs. Local customs officials decided to screen shipment by randomly testing 4 bags. If any are found to contain drugs, the whole consignment is sized.
Compute the probability that the shipment consisting of 95 bags of sugar and 5 bags of illegal drugs will be detected in this manner
