Bea is building a 1:120 scale model of a museum building. Her model has a rectangular base that is 3 feet wide and 2 feet long.

The average daily volume of a computer stock in 2011 was ų=35.1 million shares, according to a reliable source. A stock analyst

Shtirlitz [24]

Answer:

a

The null hypothesis is $H_o : \mu = 35 .1 \ million \ shares$

The alternative hypothesis $H_a : \mu \ne 35.1\ million \ shares$

b

The 95% confidence interval is $27.475 < \mu < 37.925$

Step-by-step explanation:

From the question the we are told that

The population mean is $\mu = 35.1 \ million \ shares$

The sample size is n = 30

The sample mean is $\= x = 32.7 \ million\ shares$

The standard deviation is $\sigma = 14.6 \ million\ shares$

Given that the confidence level is $95\%$ then the level of significance is mathematically represented as

$\alpha = 100-95$

$\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is $Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{ \sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 14.6 }{\sqrt{30} }$

$E = 5.225$

The 95% confidence interval confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

substituting values

$32.7 - 5.225 < \mu < 32.7 + 5.225$

$27.475 < \mu < 37.925$

6 0

2 years ago

Please help me! Immediate Urgent help please!

KATRIN_1 [288]

Answer:

a = 144
b = 67

Step-by-step explanation:

When a transversal crosses parallel lines, the interior same-side angles are supplementary. That means ...

a° and 36° are supplementary, so

a = 180 - 36 = 144

and

b° and 113° are supplementary, so

b = 180 -113 = 67

_____

The bases of this trapezoid are parallel, as indicated by the right-pointing arrow on each one. The left- and right-ends of the trapezoid are lines between the parallel bases that meet the requirement for the marked angles next to each one to be supplementary.

6 0

2 years ago

A menu has five choices of appetizers

Vinil7 [7]

The number of the meals possible is 350.

The complete question is given below:-

A menu has 5 choices of appetizers, ten main courses, and seven desserts. How many meals are possible?

<h3 /><h3>What is the combination?</h3>

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-