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Digiron [165]
3 years ago
13

Need answer ASAP please help

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0

Answer:

B

Step-by-step explanation:

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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
3 years ago
A store manager did a study to determine the amount of money the first 50 customers spent in her store. The data are approximate
MatroZZZ [7]
P(x > 35) = 1 - P(x < 35) = 1 - P[z < (35 - 29.60)/10.50] = 1 - P(z < 0.5143) = 1 - 0.6965 = 0.3035

Therefore, answer is 0.30 to the hundredths place.
6 0
3 years ago
Help please <br> Right angle triangle
baherus [9]

Answer:

h ≈ 11.9

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find h

cos24° = \frac{adjacent}{hypotenuse} = \frac{h}{13}

Multiply both sides by 13

13 × cos24° = h

⇒ h = 11.9 cm ( to 1 dec. place )

8 0
3 years ago
Read 2 more answers
Elaine body total of 15 shirts and a pair of pants she bought seven more shirts than pants how many of each did you buy
Vlad [161]
She bought 11 shirts and 4 pants.
7 0
3 years ago
Mike's Music Soul 287 CDs on the first day of a two day sale the store so 96 more CD's on the second day then the first day how
almond37 [142]
The answer is 670.
this is because 96 plus 287 is 383.
so he sold 287 on the 1st day, and 383 on the second day.
383 plus 287 equals 670.
5 0
3 years ago
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