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3 years ago

5

A halogen-lighting manufacturer packs 64 halogen lamps ink a cube-shaped container. the manufacturer has been asked by his distr

ibutors to package the lamps in a smaller container that holds 8 lamps

1 answer:

sashaice [31]3 years ago

7 0

If the original container can hold 64 halogen lamps and the new container can hold 8 lamps, then
64/8 = 8
There will 8 smaller containers needed to pack all of the 64 lamps from the original large cubed-shaped container.

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The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c

Kitty [74]

Answer:

The 90% confidence interval $-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

The distribution test statistics is $t = -3.222$

The rejection region is p-value < $\alpha$

The decision rule is reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

The p-value is $p-value =0.000951$

Step-by-step explanation:

From the question we are told that

The first sample size $n_1 = 30$

The first sample mean is $\= x _1 = 323$

The first standard deviation is $s_1 = 41$

The second sample size is $n_2 = 45$

The second sample mean is $\=x_2 = 356$

The second standard deviation is $s_2 = 45$

given that the confidence level is 90% then the level of significance is mathematically represented as

$\alpha = (100 -90)\%$

$\alpha = 0.10$

Generally the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the pooled variance is mathematically represented as

$s^2 = \frac{(n_1 - 1)s_1^2 + (n_2 -1)s_2^2 }{n_1 + n_2 -2}$

$s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}$

$s^2 = 1888.34$

Generally the standard error is mathematically represented as

$SE = \sqrt{\frac{s^2}{n_1} + \frac{s^2}{n_2} }$

=> $SE = \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45} }$

=> $SE = 10.24$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.645* 10.24$

$E = 16.85$

Generally the 90% confidence interval is mathematically represented as

$\=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E$

$323 -356 -16.84$

$-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \=x_2 }{SE}$

=> $t = \frac{323-356}{10.24}$

=> $t = -3.222$

Generally the degree of freedom is mathematically represented as

$df = n_1+n_2 -2$

$df = 30 + 45 -2$

$df = 73$

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

The value is $p-value =0.000951$

Here the level of significance is $\alpha = 5\% = 0.05$

Given that the p-value < $\alpha$ then we reject the null hypothesis

Then the conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

5 0

3 years ago

Find the slope of the line graphed below.

Law Incorporation [45]

Answer:

8/5

Step-by-step explanation:

7 0

3 years ago

Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?

dybincka [34]

Answer:

-14

Step-by-step explanation:

If you simplify the expression you get -14

8 0

3 years ago

Read 2 more answers

Simplify each.Assume that none of the variables is zero.

Zanzabum

Answer:

2. 1 / a^2

3, 1

4. - 1

Step-by-step explanation:

Formulas : -

x^y / x^z = x^( y - z )

x^-y = 1 / x^y

x^y / x^y = 1

2.

a^2 / a^4

= a^( 2 - 4 )

= a^-2

= 1 / a^2

3.

m^6 / m^6 = 1

4.

- 8^4 / 8^4

= - 1 x 8^4 / 7^4

= - 1

3 0

2 years ago

Find the slope of the line.<br> Can somebody please help me and/ or explain ?

Olegator [25]

Answer:

4/-2

Step-by-step explanation:

Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6 then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2

4 0

2 years ago