Answer:
Step-by-step explanation:
It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.
The hypothesis is set
(A two-tailed test for mean difference)
The test statistic is calculated, and the p-value turns out to be 0.0743
Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05
Thus, we accept the null hypothesis.
i.e. there is no statistically significant alteration in the average number of daily unique listeners
The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.
The increase in production is found by calculating 180 - 150 = 30 tons. The percentage rise is computed by taking 30 divided by 150, which equals 0.2 or a 20% rise.
Answer:Part a) 
Part b) When Jenny divides the square root of her favorite positive integer by 
, the result is an integer.
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For 
-----> the product results in an integer
thus
The number could potentially be Jenny's favorite positive integer
2) For 
-----> the product results in an integer
thus
The number could potentially be Jenny's favorite positive integer
3) For 
-----> the product results in an integer
thus
The number could potentially be Jenny's favorite positive integer
Part B)
1) For
-----> the outcome is an integer
2) For
-----> the outcome is an integer
3) For
-----> the outcome is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by , she obtains an integer as a result.
