Homework 3 Probability 1. As part of a Pick Your Prize promotion, a store invited customers to choose which of three prizes they’d like to win. They also kept track of respondents’ gender. The following contingency table shows the results: | MP3 Player| Camera| Bike| Total| Men| 62| 117| 60| 239|

Woman| 101| 130| 30| 261|
Total| 163| 247| 90| 500|
What is the probability that: a. a randomly selected customer would pick the camera? 247/500= 0.494= 49.4%b. A randomly selected woman would pick the camera? 130/261=0.498=49.8%c. A randomly selected customer would be both male and choose the bike? 60/500=0.12=12% d. A randomly selected man would choose either the camera or the bike? 177/239=0.74=74% 2. a. Which part(s) of question 1 above deal with joint probability? C,b. Which part(s) deal with conditional probability? B,D The Standard Normal Curve 3. In a recent year, about two-thirds of U.S. households purchased ground coffee. Consider the annual ground coffee expenditures for households who purchase coffee, assuming that these expenditures are approximately normally distributed with a mean of $45.16 and a standard deviation of $10.00. a. Find the probability that a household spent less than $25.00. Z=(25-45.16)/10= -2.016 =.4778=2.2% b. Find the probability that a household spent more than $50.00 (50-45.16)/10=.484=18.44% c. What proportion of households spent between $30.00 and $40.00? 20.09% d. 99% of households spent less than what amount?15.16 4. The breaking strength of plastic bags used for packaging produce is normally distributed, with a mean of 5 pounds per square inch and a standard deviation of 1.5 pounds per square inch. What proportion of bags have a breaking strength of: a. less than 3.17 pounds per square inch?11.12% b. at least 3.6 pounds per square inch? 67.67 c. between 5 and 5.5 pounds per square inch?12.93%...

...standard deviation = square root of variance = sqrt(846) = 29.086 4. If we have the following data
34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66 Draw a stem and leaf. Discuss the shape of the distribution. Solution: 2 3 4 5 6 | | | | | 219200 48714 0197 6
This distribution is right skewed (positively skewed) because the “tail” extends to the right. 5. What type of relationship is shown by this scatter plot?
45 40 35 30 25 20 15 10 5 0 0 5...

...“Accept” the NullHypothesis
by Keith M. Bower, M.S. and James A. Colton, M.S.
Reprinted with permission from the American Society for Quality
When performing statistical hypothesis tests such as a one-sample t-test or the AndersonDarling test for normality, an investigator will either reject or fail to reject the nullhypothesis, based upon sampled data. Frequently, results in Six Sigma projects contain
the verbiage...

...mean of a random variable weights each outcome xi according to its probability, pi. The mean also of a random variable provides the long-run average of the variable, or the expected average outcome over many observations.The common symbol for the mean (also known as the expected value of X) is , formally defined by
Variance - The variance of a discrete random variable X measures the spread, or variability, of the distribution, and is defined by
The standard...

...Tutorial Note 5
• Chapter 17 Hypothesis Testing
• Chapter 18 Measures of Association
Objective: Computer laboratory session (II) – Please refer to the Computer Lab Notes
Discussion Question 1
H0 – NullHypothesis: a statement you want to reject (E.g Average = 50)
H1/HA – Alternative Hypothesis: a statement you want to prove (E.g Average is not 50)
What is related/dependent sample?
H0: Tutorial is NOT effective...

...2800
c. 1.75
d. 784
12. If a six sided die is tossed two times and “3” shows up both times, the probability of “3” on the third trial is
a. much larger than any other outcome
b. much smaller than any other outcome
c. 1/6
d. 1/216
13. If P(A) = 0.4, P(B| A) = 0.35, P(A B) =0.69, then P(B) =
a. 0.14
b. 0.43
c. 0.75
d. 0.59
14. Two events with nonzero probabilities
a. can be both mutually exclusive and independent
b. can not be...

...Take Home Test 2
1. A. NullHypothesis: There are no relations or associations among the groups’ mean scores.
Alternate Hypothesis: There is a relation or association among the student’s grade point averages and “if they rather prefer to stay at home than go out with friends”.
Correlations |
| Grade Point Average | I would rather stay at home and read than go out with my friends |
Grade Point Average | Pearson Correlation | 1 | .233 |...

...decimal places)
2. Find the value of z if the area under a Standard Normal curve
a) to the right of z is 0.3632;
b) to the left of z is 0.1131;
c) between 0 and z, with z > 0, is 0.4838;
d) between -z and z, with z > 0, is 0.9500.
Ans : a) z = + 0.35 ( find 0.5- 0.3632 = 0.1368 in the normal table)
b) z = -1.21 ( find 0.5 – 0.1131 = 0.3869 in the normal table)
c ) the area between 0 to...

...a population mean
b. hypothesis testing between two proportions
c. estimation of a population mean
d. hypothesis testing between two means
RATIONALE: First, check muna if what they’re looking for is mean or proportions. I’m not really sure, but technique ko dyan, pag may mga decimal point, MEAN YUN. Mostly, ang mga MEAN cases ay yung mga blood pressure (systole, diastole). So in this case, you’re just comparing two drugs. Hence, proportions. Also,...

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