MS 150 Statistics Quiz 12 Fall 2004 • Name: _______________
1 to 4: Matching: Levels of Measurement
|____ 1. Grades: A, B, C, D, F||A. Nominal|
|____ 2. Favorite soy sauce: Angostura, Kikkoman, Sanbushi, Yamasa
|____ 3. Year: 1981, 1987, 1999, 2002||C. Interval|
|____ 4. Soy sauce bottle volumes: 500ml, 1000ml, 1800ml
The table is of retail prices for 1000 ml soy sauce on Pohnpei on 04 September 2002
|En's Seven Star||Yamasa||4.95|
- ______ What is the sample size n?
- ______ What is the minimum value in this data set?
- ______ What is the maximum value in this data set?
- ______ What is the range for this data?
- ______ Divide the data into five bins. What is the width of a single bin?
- Determine the frequency and calculate the relative frequency using five bins. Record your results in the table provided.
Hypothesis Testing Using Confidence Intervals
Sunday evening I ran 14 laps of the track with a mean lap time of 2.59 minutes and standard deviation of 8.00 seconds. Construct a 95% confidence interval using a student's t-distribution for my population mean lap time.
- The confidence interval for the population mean holding force of their hands µ is:
_________ ≤ µ ≤ _________
- _________ On 28 December 2002 I ran an average lap time of 2.65 minutes. Was my Sunday evening lap time statistically significantly different than that of two years ago?
- _________ Statistically speaking, can I say I was faster?
- _________ What is the level of significance for this test?
- If this were a hypothesis test where the null hypothesis was that of no lap time difference, would we:
- _________ Reject the null hypothesis
- _________ Fail to reject the null hypothesis
- _________ What is the p-value?
|Confidence interval statistics
|Find a tc value from a confidence level c and sample size n
|Calculate an error tolerance E of a mean for any n ≥ 5 using sx.
|Calculate a confidence interval for a population mean µ from
a sample mean x and an error tolerance E
|Degrees of freedom
|Calculate a t-statistic (t)
||(x - µ)/(sx/sqrt(n))
|Calculate t-critical for a two-tailed test
|Calculate a p-value from a t-statistic t