Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 25
The sample mean is
The standard deviation is
Let assume the level of significance of this test is
The null hypothesis is
The alternative hypothesis is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of is
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
<span>This construction uses Constructing the Perpendicular Bisector of a Line Segment to find the midpoints of the sides.
</span>To construct a midsegment, find the midpoint of two sides. This can be done by drawing a perpendicular bisector on one side of the triangle<span>.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
112 students
Step-by-step explanation:
Let T be the total number of students in the band.
From the question,
We were told that 37.5% of the total owns their individual instruments and this amount to 42 students
The total number of students can calculated for as follows:
37.5% x T = 42
37.5/100 x T = 42
Cross multiply to express in linear form
37.5 x T = 100 x 42
Divide both side by 37.5
T = (100 x 42) /37.5
T = 112
Therefore, there are 112 students in the band