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gladu [14]
3 years ago
13

The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, m

ost donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498. To perform this study, we should form a null hypothesis stating that the average is
Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

H0: u ≤ 100,000

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

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Assume that blood pressure readings are normally distributed with a mean of 123 and a standard deviation of 9.6. If 144 people a
Vanyuwa [196]

Answer:

The probability is 0.9938

Step-by-step explanation:

In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.

To calculate this, we use the z score.

Mathematically;

z = (mean - value)/(standard deviation/√N)

From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)

Let’s plug these values;

z = (125-123)/(9.6/√144) = 2.5

Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables

P(z<2.5) = 0.9938

8 0
3 years ago
Simplify 11 to the power of negative 4 over 11 to the power of 8
AlekseyPX

Answer:

1. 1 over 11 to the power of 12

Step-by-step explanation:

\huge \frac{ {(11)}^{ - 4} }{ {(11)}^{8} } \\  \\  \huge =   \frac{ 1}{ {(11)}^{8 + 4} }  \\  \\\huge  =   \frac{ 1}{ {(11)}^{12} }

7 0
3 years ago
A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket cost
DerKrebs [107]
I believe answer is 423$
3 0
3 years ago
A wheel of diameter 50.0 cm starts from rest and rotates with a constant angular acceleration of 2.00 rad/s^2. At the instant th
Kruka [31]
R = 25 cm = 0.25 m
α = 2.00 rad /s²
T(heta) = 4 π
ω = T(heta)/ t
ω = α t
α t = 4 π / t
t ² = 2 π
t = √ ( 2π )  = 2.5 s
ω = α t = 2 · 2.5 = 5 rad/s
v = ω r = 5 · 0.25 = 1.25 m/s
(1)    a (rad) = ω² r = 25 · 0.25 = 6.25 m/s²
(2)    a (rad) = v² / r = ( 1.25 )² / 0.25 = 0.15625 / 0.25 = 6.25 m/s²
8 0
3 years ago
Jaylon spent $21.60 of the $80 he got for his birthday. What percent of his money did he spend? Oh
Anika [276]

Answer:

27%

Step-by-step explanation:

Jaylon spent 27% of his birthday money.

5 0
3 years ago
Read 2 more answers
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