Math 227 Midterm 1 (Ch1-3) Please answer all the questions on this question pape
ID: 3061625 • Letter: M
Question
Math 227 Midterm 1 (Ch1-3) Please answer all the questions on this question paper. Version B Name 1. Identify which of these types of sampling is used: Simple Random, Systematic, Answer: Convenience, Stratified, or Cluster. (1 point each) (a) To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a of 130 soup cans. sample (b) A completely random method is used to select 75 students. Eaclh undergraduate student in the fall semester has the same probability of being chosen at any stage of the sampling process (c) A sample of 200 graduates Cal State LA students is taken by organizing the students' names by classification (freshman, sophomore, junior or senior), and then selecting 40 students from each. 2a 2. Determine whether the given values are from a discrete or continuous data set. (a) The Honda Civic has 4 cylinders. (b) We see that a male spoke 13,825 words in one day. (c) First President George Washington was 188 cm tall. 3. Determine which of the four levels of measurement (nominal, ordinal, interval, 2b ratio). (1 point each) (a) Ratings of hotels on a scale from 0 star to 7 stars. b) Dlameter of cirdles in inches such as 3.1 inches,5 inches. Heights of women on a baseball team have a bell-shaped distribution with a mean 165 cm and 3a. 3b. 4. a standard deviation of 4 cm. What conclusions you can draw by the empirical rule? (6 points) Show all you work to support your conclusion.Explanation / Answer
1. a= convenience
2. b= simple random
2. c= stratified
2. a= discrete
2. b= discrete
2. c= continuous
3. a = Ordinal
3. b = Ratio
4. Heights of a women in a baseball team has bell shaped distribution with mean 165cm & standarad deviation 4 cm.
A normal distribution has bell shaped. For this distribution mean mode and median are equal
Therefore mean= mode= median = 165
By using empirical relation,
Mode= 3Median-2Mean= 3*165-2*165= 495-330= 165
From the above empirical relation mode is 165
Therefore the median mode and mean are equal for normal distribution.