Answer: 2.511 lies in the rejection region, so we will reject the null hypothesis.
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Step-by-step explanation:
Since the null and alternate hypothesis are :

Since there is 0.05 level of significance,
So, there will be two tail test:
As we know that
z = -1.96 or z = 1.96
If the test statistic does not fall in the range of -1.96 to 1.96, we will reject the null hypothesis.
So, it becomes,

Since 2.511 lies in the rejection region, so we will reject the null hypothesis.
Hence, People does not seem to be representative of the Pet Food survey respondents.
Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
The answer is 22.5 degree
Answer:
A) $1470
B) 5,88%
Step-by-step explanation:
B) Diana will end up with 100% -16% = 84% of the interest she earns, so her effective interest rate is ...
... 7% × 84% = 5.88%
A) Diana's investment earns ...
... 0.0588 × $25000 = $1470
Answer:
y=-5x+-3
Step-by-step explanation.
I used the formula Mx+b