2y-1/2(12y-6xy) Helpp!!

You know that y is a normally distributed variable with a variance of 9. You do not know its mean. You collect some data. For ea

Dima020 [189]

Answer:

a)

CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

b)

CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

c)

CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

Step-by-step explanation:

Given that;

Variance σ² = 9

so standard deviation σ = √9 = 3

with 95% confidence interval in each case. thus, The Z value for 95% confidence is Z = 1.96

Null Hypotheses H₀ : μ = 2

Now

a) (8,1,5)

sample mean x" = (8+1+5) / 3 = 14/3 = 4.6666

n = 3

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 4.6666 ± ( 1.96 × 3/√3 )

CI = 4.6666 ± 3.3948

so CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

b) (8,1,5,-4,-8)

sample mean X" = (8 +1 + 5 - 4 - 8) / 5 = 2 / 5 = 0.4

n = 5

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 0.4 ± ( 1.96 × 3/√5 )

CI = 0.4 ± 2.6296

so CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

c) (8,1,5,-4,-8,4,8,5)

sample mean x" = (8 + 1 + 5 - 4 - 8 + 4 + 8 + 5) / 8 = 19 / 8 = 2.375

n = 8

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 2.375 ± ( 1.96 × 3/√8 )

CI = 2.375 ± 2.0788

so CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

8 0

3 years ago

3 posters cost 24.50, so how many can you buy with 171.50

Ilia_Sergeevich [38]

Answer:

21

Step-by-step explanation:

24.50 / 3 = 49/6

5 0

3 years ago

Read 2 more answers

Please answer correctly not for points because i will be deleting wrong answers

natita [175]

$4440 i think, im not sure

4 0

3 years ago

A drinks factory packed their drinks into red and yellow boxes. There were 24 more red boxes than yellow boxes. Each red box con

ira [324]

Answer:

A) 128

B) 7800

Step-by-step explanation:

Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120

3 0

3 years ago

How do I find the slope of the line through (–9, –10) and (–2, –5)?

storchak [24]

Answer:
slope of line is 5/7

Explanation:
The slope of the line can be calculated using the following rule:
slope = $\frac{y2-y1}{x2-x1}$

The given points are:
(-9,-10) which represent (x1,y1)
(-2,-5) which represent (x2,y2)

Substitute with the points in the above equation to get the slope as follows:
slope = $\frac{-5-(-10)}{-2-(-9)}$ = 5/7

Hope this helps :)

4 0

4 years ago

Read 2 more answers