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anygoal [31]
3 years ago
14

A random sample of 16 one-kilogram sugar packets is obtained and the actual weights of the packets are measured. The sample mean

is x 1.053  kg, and the sample standard deviation is s 0.058  kg. Assume that the weights are approximately normally distributed. A) Construct a 99% two-sided confidence interval for the average sugar packet weight.
Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Answer:

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the student's t-distribution to find the confidence interval.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 35 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.905([tex]t_{995}). So we have T = 2.9467

The margin of error is:

M = T*s = 2.9467*0.058 = 0.171

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.053 - 0.171 = 0.882kg

The upper end of the interval is the sample mean added to M. So it is 1.053 + 0.171 = 1.224 kg.

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

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mr Goodwill [35]

Answer:

60%

Step-by-step explanation:

Divide the amount of people who showed up by the total invited...

39/65 = 0.6

To convert a decimal to a percent, multiply the decimal by 100%...

0.6(100%) = 60%

8 0
3 years ago
Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime numb
hammer [34]

Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

According to the statement

we have given that the Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal.

and we have to find that the expected value of the difference between the number of days.

So, the total number of days in a year is 365 days.

Chance to get a prime number on a die = 3/6

Chance to get a prime number on a die = 1/2.

and chances to get a composite number = 2/6

chances to get a composite number = 1/3

and chances to get a 1 on a die = 1/6.

Then the expected value =

so, expected value = 365(1/6) + 365(1/3) + 365(1/2)

then after calculating

Expected value = 1+2+1

then the value become is 4

and by this way he eat 171 days sweet cereal and other days he eat unsweetened.

So, Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

Learn more about Expected value here brainly.com/question/15858152

#SPJ4

3 0
2 years ago
Which is the mathematical symbol. HELP ASAP
Darya [45]

Answer:

I would think D

Step-by-step explanation:

5 0
3 years ago
Checking Equivalence
Vinil7 [7]
D is the correct answer I think
7 0
3 years ago
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Will the opposite of a number always,sometimes, or never be greater than the number itself?
34kurt
Sometimes because the answer be be a positive, and the opposite would be a negative which is less. But for a negative, it is always greater. So the answer is sometimes will be greater than the number itself.
8 0
3 years ago
Read 2 more answers
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