Mathematics, 01.02.2021 20:50 kokilavani

Caviar is an expensive delicacy, so companies that package it pay very close attention to the amount of product in their tins. Suppose a company that produces over 1000 tins of caviar per day took an SRS of 20 tins from one day's production. The sample showed a mean of 99.8g of caviar per tin with a standard deviation of 0.9g. The data were roughly symmetric with no outliers. Required:
Based on this sample, estimate with 95, percent confidence the mean amount of caviar (in grams) per tin from that day's production.

Answers: 2

Show answers

Answers

Answer from: zozo72

The confidence interval with 95% confidence where the mean amount of caviar (in grams) per tin from that day's production is $\bold{99.8 \pm 0.9344}$ .

Given to us,

size of the sample, n = 20,

mean of the sample, $\bar{x}$ = 99.8 g

the standard deviation of the sample, σ = 0.9g

As, we know, the confidence level value for 95% confidence is 1.960.

z = 1.960

Also, the formula for the confidence interval is given as,

$CI = \bar{x} \pm z \dfrac{s}{\sqrt{n}}$

where,

CI= confidence interval

$\bar{x}$ = sample mean

z= confidence level value

σ= sample standard deviation

n = sample size

For, 95% of the confidence interval of the mean amount of caviar per tin from that day's production,

$CI = \bar{x} \pm z \dfrac{\sigma}{\sqrt{n}}$

substituting the values,

$\begin{aligned}CI &= 99.8 \pm (1.960) \dfrac{0.9}{\sqrt{20}}\\&=99.8 \pm 0.9344\\\end{aligned}$

Hence, the confidence interval with 95% confidence where the mean amount of caviar (in grams) per tin from that day's production is $\bold{99.8 \pm 0.9344}$ .

To know more visit:

link

Answer from: Weaj01

95% of the confidence interval of the mean amount of caviar per tin from that day's production

(99.3788.100.2212)

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' = 20

Given that mean of the sample = 99.8 g

Given the standard deviation of the sample = 0.9g

Level of significance = 0.05

$t_{\frac{0.05}{2} ,19} = t_{0.025,19} = 2.093$

Step(ii):-

95% of the confidence interval of the mean amount of caviar per tin from that day's production

$(x^{-} - t_{0.025,19} \frac{S}{\sqrt{n} } , x^{-} + t_{0.025,19} \frac{S}{\sqrt{n} })$

$(99.8 - 2.093 \frac{0.9}{\sqrt{20} } , 99.8 + 2.093 \frac{0.9}{\sqrt{20} })$

on simplification, we get

(99.8 -0.4212 , 99.8+0.4212)

(99.3788.100.2212)

Final -

95% of the confidence interval of the mean amount of caviar per tin from that day's production

(99.3788.100.2212)

Answer from: Quest

Y’all got the baby baby money in

Answer from: Quest

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Which statements regarding the diagram are true? check all that apply.

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

Create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1.

Answers: 1

Answer

Mathematics, 21.06.2019 20:20

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done

Answers: 2

Answer

Mathematics, 22.06.2019 00:40

‼️‼️‼️‼️‼️the pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. if the pressure is 6 pounds per square inch when the temperature is 440 f, find the pressure exerted when the temperature of the gas is 380°f. (show work)

Answers: 1

Answer

You know the right answer?

Caviar is an expensive delicacy, so companies that package it pay very close attention to the amount...

Questions