Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = sample mean of type A paint
x2 = sample mean of type B paint
s1 = sample standard deviation type A paint
s2 = sample standard for type B paint
n1 = number of samples of type A paint
n2 = number of samples of type B paint
From the information given,
x1 = 75.7
s1 = 4.5
n1 = 11
x2 = 64.3
s2 = 5.1
n2 = 9
x1 - x2 = 75.7 - 64.3 = 11.4
√(s1²/n1 + s2²/n2) = √(4.5²/11 + 5.1²/9) = √4.709
Degree of freedom = (n1 - 1) + (n2 - 1)
df = (11 - 1) + (9 - 1) = 18
For the 98% confidence interval, the z score from the t distribution table is 2.552
Margin of error = 2.552√4.709 = 5.55
The upper boundary for the confidence interval is
11.4 + 5.55 = 16.95 hours
The lower boundary for the confidence interval is
11.4 - 5.55 = 5.85 hours
The correct option is
B. 5.85 hrs < μ1 - μ2 < 16.95 hrs
We don't have a pic. We need one
Hope this was what you’re looking for ^.^
(If correct, if you don’t mind can you please mark me as the brainliest, it’s okay if not)
1. Spatial perspective<span> is to study something in terms of location, distance, and direction. </span>Ecological perspective<span> is to study something in terms of environment and social interaction.
2.</span><span><span>The geosphere consists of the core, mantle and crust of the Earth.
</span><span>The atmosphere contains all of the Earth’s air and is divided into troposphere, stratosphere, mesosphere, thermosphere and ionosphere.
</span><span>The hydrosphere contains all of the solid, liquid and gaseous water on Earth, extending from the depths of the sea to the upper reaches of the troposphere where water is found. Ninety-seven percent of the hydrosphere is found in salty oceans, and the remainder is found as vapor or droplets in the atmosphere and as liquid in ground water, lakes, rivers, glaciers and snowfields.
</span><span>The biosphere is the collection of all Earth’s life forms, distributed in major life zones known as biomes: tundra, boreal forest, temperate deciduous forest, temperate grassland, desert, savannah, tropical rainforest, chaparral, freshwater, and marine.
3. jobs being taken by immigrants, over population, </span></span><span>The problem with multiculturalism is that you can't have more than one rule.
4.</span><span>Whoever controls the economy controls the government. </span>
<span>Examples: </span>
<span>the Bank of England controlled the British Empire </span>
<span>the US Federal Reserve (along with its private shareholders on Wall St and in Europe) currently controls the US political system </span>
<span>The IMF uses similar tactics to take over sovereign nations in Africa and South America </span>
<span>Global bankers run almost everything. For evidence, simply look around you.</span>
