Search & Filtering
Find the following data calculate fisher's ideal inderx and proves that it satisfies TRT and FRT
baseyear current year
Commodity price Qty price Qty
A 4 60 6 60
B 10 30 12 24
C 6 50 10 56
D 2 100 2 120
In a statistic examination, the mean was 55 and the standard deviation was 10. Determine the standard scores of two students whose grade were 75 and 42 respectively.
To evaluate the following hypotheses
H0 :p = 0.3
HA :p ≠ 0.3
The length of 5-inch nails manufactured on a machine are normally distributed with a mean of 5.0 inches and a standard deviation of 0.009 inch. The nails that are either shorter than 4.98 inches or longer than 5.02 inches are unusable. What percentage of all the nails produced by this machine are unusable?
Employees of a large corporation are concerned about the declining quality of medical services provided by their group health insurance. A random sample of 100 office visits by employees of this corporation to primary care physicians during the year 2017 found that the doctors spent an average of 19 minutes with each patient. This year a random sample of 108 such visits showed that doctors spent an average of 15.5 minutes with each patient. Assume that the standard deviations for the two populations are 2.7 and 2.1 minutes, respectively. Using the 2.5% level of significance, can you conclude that the mean time spent by doctors with each patient is lower for this year than for 2017? To draw your conclusion, state the hypotheses and identify the claim, find the critical value(s), label the acceptance and rejection region, calculate the test value and summarize the results.
A bag contains 6 blue balls, 5 green balls and 4 red balls. Three are selected at random without replacement. Find the probability that
(a) they are all blue
(b)two are blue and one is green
(c) there is one of each colour
independent random sample of size 9 is taken with replacement from a population with mean 25.2 and variance 12
Students are randomly assigned to four Math classes. Each class is taught using a
different method. At the end of the course, a comprehensive examination is given, and
the results are shown at the table that follows. At α = 0.05, is there a significant
difference in the means of the examination results?
Class A| Class B| Class C| Class D|
87 82 97 82
92 78 90 78
61 41 83 41
83 65 92 83
47 63 91 47
87 82 97 87
92 78 90 97
61 41 83 90
83 65 92 83
47 63 91 92
Three sections of the same secondary mathematics course are taught by 3 teachers. The
final grades were recorded as follows:
Teacher X: 77 36 93 45 60 66 73 80 43 82 89 73
Teacher Y: 88 78 48 91 51 85 74 77 31 78 62 76 96 80 56
Teacher Z: 68 79 56 91 71 71 87 41 59 68 53 79 15
Is there a significant difference in the average grades given by the 3 teachers? Use a 0.05
level of significance.
A sample size 40 from a non-normal population yielded the sample mean X= 71 and S2 =200. Test H0: µ=72 against H1: µ≠72. Use α= 1
