Answer: none of the above
Step-by-step explanation: when performing an hypothesis test and we want to make conclusion by comparing the p-value with the level of significance α
When p is greater than α, we reject the null hypothesis because it simply implies that we have a larger chance to commit a type 1 error ( α is the probability of committing a type 1 error an error where we reject the null hypothesis instead of accepting it ) which means we reject the null hypothesis.
When p is lesser than level of significance α, it means that we have a lesser chance of committing a type 1 error, which means we accept the null hypothesis.
Answer:
If the game with 3 hits is ignored the data becomes:
- 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11
a) The mean will increase.
<u>With 3:</u>
- (3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9
<u>Without 3:</u>
- (7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21
b) The median will remain as is.
- With 3 and without the median is same = 9
SOLUTION:
Case: Hypothesis testing
Step 1: Null and Alternative hypotheses

Step 2: T-test analysis

Step 3: t-test with the significance level

Step 4: Comparing

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.
Final answer:
Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.
Answer: y=-x-1
Step-by-step explanation:
To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.