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olga_2 [115]
3 years ago
13

G two samples, one of size 14 and the second of size 13, are selected to test the difference between two population means. how m

any degrees of freedom are used to find the critical value? assume the population standard deviations are equal.

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Note :- If sample size n > 30 OR Population standard deviation σ is given then We use Z test.

If sample size n < 30 AND Population standard deviation σ is unknown then we use t test.

In this question we are not given Population standard deviations σ1 and σ2.

Also n1 = 14 and n2 = 13 both sample sizes are LESS than 30.

Therefore we use t test.

Given :- Assume the population standard deviations are equal. ( σ1 = σ2)

then Degrees of freedom = n1 + n2 - 2 = 14 + 13 - 2 = 25.

(kindly find the image attached with this solution)

Answer :- Therefore 25 degrees of freedom are used to find the t critical value.

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Step-by-step explanation:

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4 0
2 years ago
A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^
vodomira [7]

Answer:

285541  

Step-by-step explanation:

According To The Question,

  • Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours &  P_{t} = P_{i}*(2)^{\frac{d}{t} } .

Now, for the population of bacteria in the culture after 14 hours is P_{t} . We have Initial Population(P_{i})=41000 , d=14 & t=5 .

Put These Value in Above Formula, We get

P_{t} = 41000*(2)^{\frac{14}{5} }

P_{t} = 41000*2^{2.8}

P_{t} = 41000*(6.9644)

P_{t} = 285540.5847 ≈ 285541

3 0
2 years ago
You practice your basketball shots every day. On Friday you made 20 shots. On Saturday you made 16 shots. What is the percent de
STatiana [176]
So,

All you have to do to find the percent decrease is to subtract your score on Saturday from your score on Friday and divide the result by your score on Friday.  If you let "f" represent your score on Friday and let "s" represent your score on Saturday, you can re-write this mathematically:

\frac{f - s}{f} = percent\ decrease

Substitute.
\frac{20 - 16}{20} = percent\ decrease
\frac{4}{20} \ or\  \frac{1}{5}\ or\ twenty\ percent = percent\ decrease

The percent decrease in shots you made was 20%.  That would be option C.
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Step-by-step explanation:

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Step-by-step explanation:

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