Q1) Data listed in the table below resulted from the experiment in which seeds of 5 different types were planted and number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At.01 level of significance, is proportion of seeds that germinate dependent on seed type?
|
Seed Type
|
|
Observed Frequencies
|
|
|
Germinated
|
Failed to Germinate
|
|
1
|
31
|
7
|
|
2
|
57
|
33
|
|
3
|
87
|
60
|
|
4
|
52
|
44
|
|
5
|
10
|
19
|
a) Yes, as the test value 16.86 is greater than critical value of 13.28
b) Yes, as the test value 16.86 is less than critical value of 14.86
c) No, as the test value 16.86 is greater than critical value of 13.28
d) No, as the test value 13.28 is less than critical value of 16.86
Q2) Machine which fills quart milk cartons is set up to average 32.2 oz per carton, with standard deviation of 1.2 oz. Determine probability that filled carton will contain less than 32 oz of milk?
i) 0
ii) .17
iii) .5675
iv) .4325
Q3) If blood types from random sample of 1000 blood donors are recorded, determine probability that 20 to 40 inclusive of samples are B-? Suppose that 1.5% of population of donors has B- blood.
i) .033
ii) .015
iii) .1210
iv) .879