A quality control expert at a pretzel factory took a random sample of 101010 bags from a production run of over 500500500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450, and a standard deviation of 15
Based on this sample, which of the following is a 90%, percent confidence interval for the mean amount of pretzels per bag (in grams) in this production run?

Answers

Answer 1

Answer:

H0​:μ=440 g

Ha​:μ does not equal 440 g​

Step-by-step explanation:

kahn

Answer 2

The 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

How to calculate confidence interval for population mean for small sample?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as [tex]\overline{x}[/tex] andThe sample standard deviation s, andThe sample size = n, and The level of significance = [tex]\alpha[/tex]

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom n - 1.

For this  case, we're provided;

The sample mean given as [tex]\overline{x}[/tex] = 450The sample standard deviation s = 15The sample size = n = 10The level of significance = [tex]\alpha[/tex] = 100 - 90% = 10% = 0.1

The critical value of t  at level of significance 0.1 iand at degree of freedom 10-1=9 is:

Thus, the confidence interval in between the limits

[tex]450 \pm 1.833 \times \dfrac{15}{\sqrt{10}}[/tex]

or

[tex]450 \pm 8.69[/tex] approximately or 441.31 to 458.69 or we write it as: [441.31, 458.69] approximately.

Thus, the 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run for this case is  [441.31, 458.69] approximately.

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Step-by-step explanation:

Given diagram is a cuboid prism

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Step-by-step explanation:

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A is your answer hope that helps!

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Both equations are equal because 1/2 and 3/6 are equivalent fractions. By multiplying both the numerator and denominator of 1/2 by 3 (3/3=1) we can get 3/6 making both equations appear the same

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Answers

Answer: [tex]\$16\dfrac{9}{10}[/tex]

Step-by-step explanation:

Given

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money spent on gift B

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Answer:

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Answers

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Step-by-step explanation:

We want the relationship

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Answers

Answer:

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Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

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Step-by-step explanation:

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`

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