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Alik [6]
3 years ago
13

The life span of a certain bacteria is 22 hours, with a standard deviation of 1.5 hours. In a random sampling of 5,000 bacteria,

how many would you expect survive between 19 and 22 hours
A) 3400
B) 1700
C) 4750
D) 2375
Mathematics
1 answer:
kupik [55]3 years ago
4 0

Answer:

hi!!!!!!!!!!

Step-by-step explanation:

hi!!!!!!!!!

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An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta
Archy [21]

Answer:

\dfrac{11}{30}

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{3}{5}=0.6.

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is \dfrac{3}{10}=0.3.

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{1}{5}=0.2.

The probability to choose each urn is the same and is equal to \frac{1}{3}.

Thus, the probability that the marble is red is

\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.

4 0
3 years ago
8.5 times 7.5<br> I need help
Strike441 [17]

Answer:

Step-by-step explanation:

8.5*7.5 = 63.75

8 0
2 years ago
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The Hawks are starting a babysitting business. They charge an initial deposit of $20
Ede4ka [16]

Answer:

3

Step-by-step explanation: So first you have to make this word problem into a equation into standard form so 20 is our (y) because that is the additional charge but our slope is 3 because that is what they charge per hr **when they say (per) usually the member with it is the slope** (sry I’m not the best explainer)

6 0
3 years ago
What is simplest form? Explain to me.
Natali5045456 [20]

Answer: The simplest form of a fraction is when the numerator and denominator of the fraction are relatively prime, which means that the numerator and denominator have no common factor.

3 0
2 years ago
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