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mr Goodwill [35]
3 years ago
5

A machine that makes dimes is adjusted to make them at diameter 1.9 cm. Production records show that when the machine is properl

y adjusted, it will make dimes with a mean diameter of 1.9 cm and with a standard deviation of 0.1 cm. During production, an inspector check the diameters of dimes to see if the machine has slipped out of adjustment. A random sample of 64 dimes is selected.
The inspector would like to detect if the true mean diameter happens to reach 1.95 cm at a significance level of a = 0.01. He determines the power of this test to be 0.9228. What is the probability that the inspector will make a Type II Error?

a. 0.01
b. 0.0385
c. 0.05
d. 0.0772
e. 0.9228
Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

0.0772

Step-by-step explanation:

P(Power) + P(Type II Error) = 1, so P(Type II Error) = 1 – P(Power) = 1 – 0.9228 = 0.0772.

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The picture shows the number of colored shirts sold this week at Joan’s Clothing Shop. Joan assumes this trend will continue. Sh
lisov135 [29]

Answer:

She should order 96 orange shirts  

Step-by-step explanation:

The picture is shown below.

From the picture below Joan sold 10 blue shirts, 3 gray shirts , 5 orange shirts and 8 green shirts out of the colored Shirts. The ratio of the colored shirt sold are 10 : 3 : 5 : 8 . The total shirt sold that week is 10 + 3 + 5 + 8 = 26 colored shirts.

If she assumes the trend is going to continue the number of orange she should order can be calculated below.

Let us find the ratio of orange shirt sold to the total colored shirt sold.

orange shirt sold / total colored shirt sold  = 5/26

This means every group of 26 colored shirts sold will have 5 orange shirt . So they told us she requested a total of 500 colored shirts . Following the same trend, how many group of 26 colored shirt are in 500.  

5/26 = x/ 500

cross multiply

2500 = 26x

divide both sides by 26

x = 2500/26

x = 96.15

x = 96 orange shirts

She should order 96 orange shirts  

6 0
3 years ago
Read 2 more answers
G(x)=4x-7 find g(-9)
FinnZ [79.3K]

Answer:

-43

hope it helps

8 0
3 years ago
Read 2 more answers
X³+y³+z³=<br><br> A. 42?<br> B. 45?
kramer

Answer:

42

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

4 0
3 years ago
Read 2 more answers
A pair of Jordans sold at retail for $180 and now sell for $330 after market. A. Is this a percent INCREASE or DECREASE, what is
Elza [17]

Answer:

This is a percent INCREASE

The percent change is 83.33%

Step-by-step explanation:

Let us solve the question

∵ A pair of Jordans sold at retail for $180

∴ The initial price = 180

∵ Now it sells for $330 aftermarket

∴ The new price = 330

→ That means the new price is greater than the initial price

∵ The new price is greater than the initial price

∴ This is a percent INCREASE

∵ The percent of change = (amount of increase ÷ initial amount) × 100%

∵ The amount of increase = new price - initial price

∴ The amount of increase = 330 - 180 = 150

→ Substitute it in the rule of percent of increase above

∵ The percent change = \frac{150}{180} × 100%

∴ The percent change = \frac{5}{6} × 100%

∴ The percent change = 83.33%

4 0
3 years ago
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