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ioda
3 years ago
12

Suppose x has a distribution with μ = 40 and σ = 12. (a) If random samples of size n = 16 are selected, can we say anything abou

t the x distribution of sample means? Yes, the x distribution is normal with mean μ x = 40 and σ x = 0.8. Yes, the x distribution is normal with mean μ x = 40 and σ x = 12. Yes, the x distribution is normal with mean μ x = 40 and σ x = 3. No, the sample size is too small. Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? No, the sample size is too small. Yes, the x distribution is normal with mean μ x = 40 and σ x = 3. Yes, the x distribution is normal with mean μ x = 40 and σ x = 12. Yes, the x distribution is normal with mean μ x = 40 and σ x = 0.8.
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

a: no the sample size is too small

b:  Yes, the distribution is normal with a mean of 40 and standard deviation of 12

Step-by-step explanation:

a:  If n < 30, we need to know that the sample is normally distributed or else we can't determine anything.  When sample sized get very large, they usually resemble normally distributed data sets so we can still make conjectures even if the data isn't officially normally distributed

b: The question tells us that the sample is normally distributed, so even though n < 30, we can still make conjectures about the population

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A biologist was interested in determining whether sunflower seedlings treated with and an extract from Vinca minor roots resulte
Aleksandr-060686 [28]

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 15.7

H1 : μ < 15.7

This is a one sample t test :

Test statistic = (xbar - μ) ÷ (s/√(n))

n = sample size = 33

Using calculator :

The sample mean, xbar = 15.41

The sample standard deviation, s = 0.419

Test statistic = (15.41 - 15.70) ÷ (0.419/√(33))

Test statistic = - 3.976

Using the Pvalue calculator :

Degree of freedom, df = n - 1 ; 33 - 1 = 32

Pvalue(-3.976, 32) = 0.000187

Decison region :

Reject H0 if Pvalue < α

Since Pvalue < α ; we reject H0

There is significant evidence to conclude that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm.

4 0
2 years ago
What is the solution?<br> 45-[5+8y-3(y+3)]= -3(3y-5)-[5(y-1)-2y+6
monitta

Answer:

-5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

45−(5+8y−3(y+3))=−3(3y−5)−(5(y−1)−2y+6)

45+−1(5+8y−3(y+3))=−3(3y−5)+−1(5(y−1)−2y+6)(Distribute the Negative Sign)

45+(−1)(5)+−1(8y)+−1(−3(y+3))=−3(3y−5)+−1(5(y−1))+−1(−2y)+(−1)(6)

45+−5+−8y+3y+9=−3(3y−5)+−5y+5+2y+−6

45+−5+−8y+3y+9=(−3)(3y)+(−3)(−5)+−5y+5+2y+−6(Distribute)

45+−5+−8y+3y+9=−9y+15+−5y+5+2y+−6

(−8y+3y)+(45+−5+9)=(−9y+−5y+2y)+(15+5+−6)(Combine Like Terms)

−5y+49=−12y+14

−5y+49=−12y+14

Step 2: Add 12y to both sides.

−5y+49+12y=−12y+14+12y

7y+49=14

Step 3: Subtract 49 from both sides.

7y+49−49=14−49

7y=−35

Step 4: Divide both sides by 7.

7y

7

=

−35

7

y=−5

8 0
3 years ago
Is the line through points p(-8,-4) and Q(5,0) parallel to the line through points R(0,1) and s(-1,-1) ?
vodomira [7]

Answer:

No, they are not parallel

Step-by-step explanation:

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3 years ago
Determine whether the ratios 9/15 and 6/10 form a proportion.
lesantik [10]
The ratio 9/15 and 6/15 form a proportion
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A graph, titled a Car, on a coordinate plane. Horizontal axis measures gasoline in gallons. Vertical axis measures distance in m
borishaifa [10]

its 1200 i think i work it out but i could have done it wrong


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3 years ago
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