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Sergeeva-Olga [200]
3 years ago
6

A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

,861 25,039 25,983 46,929PictureClick here for the Excel Data File(a) Construct a 95 percent confidence interval for the true mean order size. (Round your answers to the nearest whole number.) The 95 percent confidence interval to
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{340119}{10} = 34011.9

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

S.D = \sqrt{\frac{2711418821}{9}} = 17357.09

Confidence interval:

\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621

34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)

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Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000
jolli1 [7]

Answer:

The population of town after 1 year is 25,750  .

Step-by-step explanation:

Given as :

The rate of increase in the population of town each year = 3 %

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Let the population of town after one year = x

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The population after n year = initial population × (1+\dfrac{\textrm rate}{100})^{\textrm n}

Or, The population after 1 year = 25,000 × (1+\dfrac{\textrm 3}{100})^{\textrm 1}

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Hence The population of town after 1 year is 25,750  . Answer

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Write the linear equation that gives the rule for this table.
Harlamova29_29 [7]

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

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Using the table let get 2 points

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Answer:

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2 years ago
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