Ask a question from expert

Ask now

Statistics and Probability Questions 2022

This assignment involves performing hypothesis tests on given data sets and calculating sample frequency mean and standard deviation for grouped data.

11 Pages1101 Words23 Views
   

Added on  2022-09-16

Statistics and Probability Questions 2022

This assignment involves performing hypothesis tests on given data sets and calculating sample frequency mean and standard deviation for grouped data.

   Added on 2022-09-16

BookmarkShareRelated Documents
Running head: Statistics and probability 1
Statistics and Probability
Course code
Student name
Tutor
Statistics and Probability Questions 2022_1
Statistics and Probability 2
QUESTION 1
1. Sample frequency mean and standard deviation
Mean 323.33
Std deviation 14.696
Table 1
2. Median, first and third quartile
Median 324
1st
Quartile 313.5
3rd
Quartile 334.5
Table 2
3. Since the mean and the median are almost equal, it can be concluded that the data is
approximately normally distributed.
4. Frequency polygon, histogram and cumulative frequency polygon
Frequency polygon
303 309 315 321 327 333 339 345
0
10
20
30
40
50
60
70
80
90
Frequency polygon
Lifetime in seconds
Frequency
Figure 1
Statistics and Probability Questions 2022_2
Statistics and Probability 3
Histogram
303 309 315 321 327 333 339 345
0
10
20
30
40
50
60
70
80
90
Histogram
Lifetime in seconds
Frequency
Figure 2
Cumulative frequency polygon
303 309 315 321 327 333 339 345
0
50
100
150
200
250
300
cumulative frequency polygon
Figure 3
QUESTION 2
1.
Statistics and Probability Questions 2022_3
Statistics and Probability 4
Mean = 200.24
Standard deviation = 3.75
X = 200
Z= x μ
σ
Z=200.24200
3.75 =0.064
P value corresponding to a Z-value of 0.064 for a two-tailed test at 0.05 level of significance is
0.94897
2. Hypothesis
H0: μ = 200
H1: μ ≠ 200
Alpha = 0.05
3. The structure of the test becomes a two-tailed test since the mean can either be greater or less
than 200 grams.
4. Since the p-value (0.95) is greater than the level of significance, the null hypothesis is not
rejected. It is concluded that the mean weight of the packets is 200 grams.
5.
Mean = 199.16
Standard deviation = 2.76
X = 200
Z= x μ
σ
Z=52.76
3.75 =0.597
P value corresponding to a Z-value of 0.597 for a two-tailed test at 0.05 level of significance is
0.5505
Statistics and Probability Questions 2022_4

End of preview

Want to access all the pages? Upload your documents or become a member.

Related Documents
Mean and standard deviation
|8
|1007
|24

Test for Difference in Variability in Waiting Times in Bank 1 and Bank 2
|5
|708
|36

Linear Predictability Through A Linear Relationship
|9
|1890
|24

Statistics Study Material
|11
|1820
|99

Statistics: Analysis and Results
|6
|725
|66

Statistics. Statistics Student name: Tutor name:. 1|Pag
|4
|455
|86