A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed, with standard deviation 0.25 V, and the manufacturer wished to test against , using units. Statistical Tables and Charts (a) The critical region is or . Find the value of

Answers

Answer 1

Answer:

The missing values in the question are shown in bold forms below.

A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed, with standard deviation of 0.25 V, and the manufacturer wished to test $\mathbf{ H_o : \mu = 10 V \ against \ H_1 : \mu \neq 10V}$ , using n = 10 units. Statistical Tables and Charts

(a) The critical region is $\mathbf{\overline X < 9.83}$ or $\mathbf{\overline X < 10.17}$ . Find the value of $\mathbf{\alpha }$

Answer:

∝ = 0.032 (to 3 decimal place)

Step-by-step explanation:

From the given information:

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- P \bigg ( (X - \mu)/((\sigma)/(√(n))) \bigg )< Z< \bigg ( (X - \mu)/((\sigma)/(√(n))) \bigg ) \bigg )$

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- P \bigg ( (9.83 - 10)/((0.25)/(√(10))) \bigg )< Z< \bigg ( (10.17- 10)/((0.25)/(√(10))) \bigg ) \bigg )$

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- P \bigg ( (-0.17)/((0.25)/(√(10))) \bigg )< Z< \bigg ( (0.17)/((0.25)/(√(10))) \bigg ) \bigg )$

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- P \bigg (-2.15 \bigg )< Z< \bigg ( 2.15 \bigg ) \bigg )$

From the z - tables;

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- (0.9842 -0.0158) \bigg )$

$\alpha = \mathbf{P(\overline X < 9.83 ) + P( X> 10.17) = 0.032}$

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What is the rule for the reflection?A) r y=x (y,x) -> (-y,-x)
B) r y=-x (x,y) -> (-y,-x)
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Answers

the rule for the reflection is (B)

An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?

Answers

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

$z=(x-\mu)/(\sigma)\n\n1.40=(x-82.5)/(9.25)\n\nx=82.5+(1.40* 9.25)\n\nx=95.45$

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

Can you please help me ASAP. its due very soon.

Answers

The final answer would be 3.5 inches tall or if you need fractions it would be 3 and 1/2. Here’s the explanation: the candle is originally eight inches tall and for every hour it burns it loses 3/4 of an inch which is .75. It will be burning till 11:00 at night which means it will be burning for six hours. All you need to do is multiply how much of the candle is burned every hour (.75) by how many hours. This will give you 4.5 inches burned by 11:00. But the question asked for how tall the candle will be, so you simply just subtract how much of the candle will have burned(4.5 inches) by the height (8 inches) and you get 3.5 inches.

Answer:

4.5 inches

Step-by-step explanation:

8-3/4-3/4-3/4-3/4-3/4-3/4= 4 2/4

You buy six pens for $2.99 each, and sales tax is 10%. How much change should you receive from a clerk if you give her a $20 bill?

Answers

Answer:

$2.06

Step-by-step explanation:

$2.99 x 6 = $17.94

$20.00 - $17.94 = $2.06

Hope this helps

Answer: $0.26

Step-by-step explanation:

Cost of 6 pens

= 2.99 x 6

= 17.94

Add sales tax at 10%,

= 17.94 x 1.1

= 19.74

Change due to me

= 20 - 19.74

= 0.26

Three baskets weigh 120 pounds how many pounds are 4 baskets

Answers

Answer:

160

Step-by-step explanation:

$(120)/(3) = 40\n40*4 = 160$

Nielsen Media Research wants to estimate the mean amount of time, in minutes, that full-time college students spend texting each weekday.Find the sample size necessary to estimate that mean with a 15 minute margin of error. Assume that a 96% confidence level is desired and that the standard deviation is estimated to be 112.2 minutes.

Answers

Answer:

n=237

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=112.2)$