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that has been claimed to be superior. An experiment is conducted in which 26 technicians are
divided into two groups, provided with one of the booklets, then given a test a week later. For the
13 using the standard version, the average exam score was 72.0, with a standard deviation of 9.3.
For the other 13 using the new version, the average score was 80.2, with the standard deviation of
10.1. Assume normal populations with equal standard deviations, and using the 5% level of
significance, does the standard version booklet appear to be better than the new version?
concept in Statistics. Five students were randomly selected for the study and were given a pre-test
on their understanding of the statistical concept. Then, the students viewed the PowerPoint
presentation and afterwards were given a post-test on their understanding of the statistical concept.
The data are shown in the table below:
Student
1 2 3 4 5
Pre-test score 22 18 20 20 25
Post-test score 35 18 18 41 35
Test at a 5% level of significance whether the PowerPoint presentation makes a difference in the
average understanding of the statistical concept.
Sam has 6 rose bushes. He counted the flowers on each of them. There are 8, 2, 5, 4, 11 and 9. Find the Standard Deviation. Is X a “Usual” number of flowers? X is your last two digits of your CUNYFirst ID Number. (00 = 0, 01 = 1, …) here X= 84
The list gives the durations, in years, of the top 20 longest-running Canadian television shows. (10 points) 18 20 38 19 22 23 23 27 36 18 18 18 20 25 18 24 24 33 25 X X is your last two digits of your CUNYFirst ID Number. (00 = 10, 01 = 11, 02 = 12, …) Construct a stem-and-leaf plot
clinic last year.
Weight (Units) Number of
babies
3 to less than 5 5
5 to less than 7 30
7 to less than 9 40
9 to less than 11 20
11 to less than 13 5
(a) Calculate the mean
(b) Calculate the variance and standard deviation
(c) Calculate the mode
(d) Calculate the median
(e) Calculate the coefficient of variation
Proposed a test to investigate the association between noise due to turbines (Noise) and Whether the residents have any health issues (Health), and write the relevant hypotheses.
A sample of 𝑛=18 observations is drawn from a normal population with 𝜇=960 and 𝜎=220. Find each of the following:
A. 𝑃(𝑋 >1037)
Probability =
B. 𝑃(𝑋 <877)
Probability =
C. 𝑃(𝑋>934)
Probability =
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 50 miles and a standard deviation of 8 miles. Find the probability of the following events:
A. The car travels more than 55 miles per gallon.
Probability =
B. The car travels less than 47 miles per gallon.
Probability =
C. The car travels between 47 and 58 miles per gallon.
Probability =
Paul has relocated and now lives within the 5 kilometre radius. He orders a pizza from the pizza parlour. The probability that it takes between 43 and 49 minutes for him to receive his pizza
A pizza parlour will deliver a pizza take-away order to the customer if s/he lives within a 5 kilometre radius from the pizza parlour. If the customer lives within this radius, it is found that the time taken to receive the pizza is normally distributed with a mean time of 45 minutes and a standard deviation of 8 minutes. Paul has relocated and now lives within the 5 kilometre radius. He orders a pizza from the pizza parlour. The probability that it takes between 43 and 49 minutes for him to receive his pizza is
#331389 on Nov 2022