Please help quick!!!!!!

Use the sample information 11formula13.mml = 37, σ = 5, n = 15 to calculate the following confidence intervals for μ assuming th

bija089 [108]

Answer & Step-by-step explanation:

The confidence interval formula is:

I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proposition of the distribution tails that are outside the confidence interval. In this case, 10% because 100-90%

σ= standard deviation. In this case 5

mean= 37

n= number of observations. In this case, 15

(a)

Z(alpha/2)= is the critical value of the standardized normal distribution. The critical valu for z(5%) is 1.645

Then, the confidence interval (90%):

I 90%(μ)= 37+- [1.645*(5/sqrt(15))]

I 90%(μ)= 37+- [2.1236]

I 90%(μ)= [37-2.1236;37+2.1236]

I 90%(μ)= [34.8764;39.1236]

(b)

Z(alpha/2)= Z(2.5%)= 1.96

Then, the confidence interval (90%):

I 95%(μ)= 37+- [1.96*(5/sqrt(15)) ]

I 95%(μ)= 37+- [2.5303]

I 95%(μ)= [37-2.5303;37+2.5303]

I 95%(μ)= [34.4697;39.5203]

(c)

Z(alpha/2)= Z(0.5%)= 2.5758

Then, the confidence interval (90%):

I 99%(μ)= 37+- [2.5758*(5/sqrt(15))

I 99%(μ)= 37+- [3.3253]

I 99%(μ)= [37-3.3253;37+3.3253]

I 99%(μ)= [33.6747;39.3253]

(d)

C. The interval gets wider as the confidence level increases.

8 0

2 years ago

Hii! Please helpppp!! This was due like 3 days ago lol

Aleksandr-060686 [28]

Fergus has 3 1/4 cups of oats

= 13/4 cups of oats

Oatmeal bars = 2 2/3

= 8/3 cups of oatmeal used

Therefore cups of oats left = 13/4 - 8/3

= 39/12 - 32/12

= 7/12 cups of oats left

She borrowed 1 cup of oats from neighbour

7/12 + 1/1

= 7/12 + 12/12

= 19/12 cups of oats

Blueberry oats muffin = 1 3/4 cups of oats

= 7/4 cups of oats

Total she will have now = 19/12-7/4

= 19/12 - 21/12

= - 2/12

= -1/6

Which means she needs 1/6 cup of oats more

Therefore its option 4

Must click thanks and mark brainliest

4 0

2 years ago

Read 2 more answers

Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e

Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

Andrea have already run 7 miles.

Days left in the month is 25.

As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= $50\ miles - 7\ miles= 43\ miles$

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

Miles need to run each day= $\frac{remaining\ miles}{remaining\ days}$

⇒ Miles need to run each day= $\frac{43}{25} = 1.72\ miles$

∴ Andrea need to run at least 1.72 miles to meet her goal this month.

8 0

2 years ago

A circular swimming pool has a radius of 15 ft. There is a path all around that pool that is three feet wide.

Romashka-Z-Leto [24]

Answer:

Circumference(C) of the circle is given by:

$C = 2 \pi r$

where, r is the radius of the circle.

As per the statement:

A circular swimming pool has a radius of 15 ft.

⇒radius of the pool(r) = 15 ft

There is a path all around that pool that is three feet wide.

⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft

Substitute these in the formula we have;

$C = 2 \pi r'$

⇒ $C = 2 \cdot 3.14 \cdot 18 = 113.04 ft$

Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft

6 0

2 years ago

Read 2 more answers

What is the standard form of the number shown in this calculator display?

kicyunya [14]

Answer:

5.93 × 10-5

Step-by-step explanation:

4 0

1 year ago