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mrs_skeptik [129]

3 years ago

14

HELP ME WITH THIS PLEASE!!!!

1 answer:

Vlada [557]3 years ago

5 0

The answer is left two places.

For example 5.% would be 0.05 as a decimal.

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

$\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}$

From the t-table with 9 degree of freedom for $\frac{\alpha}{2}=0.005$

$t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}$

$t_{n-1,\frac{\alpha}{2}}=3.250$

The 99% confidence interval is given by,

$CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}$

$CI=72.5 \pm 5.96$

$CI=(72.5+5.96),(72.5-5.96)$

$CI=(66.54,78.46)$

8 0

2 years ago

6x + 4<br> What tipe of polynomial is this one?

Mkey [24]

Answer:

This is a binomial.

Step-by-step explanation:

Bi means two. Therefore, since this polynomial only has two integers it is a binomial.

5 0

2 years ago

the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age?

Mrrafil [7]

Answer:

sadia is 32

Step-by-step explanation:

sadia : father : total

3 6 9

Divide 96 by 9

96/9 = 32/3

Multiply each by 32/3

sadia : father : total

3*32/3 6*32/3 9*32/3

32 64 96

4 0

2 years ago

Help&EXPLAIN <br><br> Don’t use for points or I’ll take it back and report

Marrrta [24]

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is

90+32+a=180

a+122=180

a=58

Now angle x is adjacent to angle a so their sum must equal 180 degrees so

x+58=180

x=122 degrees

3 0

2 years ago

Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on

CaHeK987 [17]

The time before they will arrive together next is given by the LCM of 16 and 18 which is 144 minutes
2:55 PM + 2 h 24 minutes = 5.19 PM

Its B

4 0

2 years ago