# In a study of factors affecting whether soldiers decide to reenlist, 320 subjects were measured for an index of satisfaction. The sample mean is 28.8 and the sample standard deviation is 7.3. Use the given sample data to construct the 98 percent confidence interval for the population mean.

The 98 percent confidence interval for the population mean is between 27.85 and 29.75 subjects.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find M as such

In which is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 28.8 - 0.9488 = 27.85 subjects.

The upper end of the interval is the mean added to M. So it is 28.8 + 0.9488 = 29.75 subjects.

The 98 percent confidence interval for the population mean is between 27.85 and 29.75 subjects.

## Related Questions

Mr. Gordon has 13 girls and 14 boys in his fourth period algebra class. One person is chosen at random.What is the probability that the person chosen is a boy?
A. 1/14
B. 1/27
C. 13/14
D. 13/27
E. 14/27

The probability that the person chosen is a boy is 14/27.

Number of girls = 13

Number of boys = 14

Total students = 27

### What is probability?

Probability is a measure of the likelihood of occurrence of an event.

P(event) = Favorable outcomes / total outcomes

Favourable outcomes = 14 because there are 14 boys

Total outcomes =27

So, the probability that the person chosen is a boy will be given by:

P(boy)=14/27

So, the probability that the person chosen is a boy is 14/27.

Hence, the probability that the person chosen is a boy is 14/27.

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E

Step-by-step explanation:

It's E because you have to add 13 and 14 and as you can see there's 14 boys so it's E.

Gary got on the Ferris wheel at the amusement park at 2:40 P.M. It went around many times and finally let him off at 3:16 P.M. How long was Gary on the ride?

Gary was on the Ferris wheel for a total of 36 minutes, calculated by subtracting the time he got on (2:40 P.M.) from the time he got off (3:16 P.M.).

### Explanation:

To find out how long Gary was on the Ferris wheel, we need to calculate the difference in time from when he got on the ride to when he got off. He got on at 2:40 P.M. and got off at 3:16 P.M. To calculate the time difference, we first convert the times to a 24-hour format. So, 2:40 P.M. is 14:40 and 3:16 P.M. is 15:16.

Next, we subtract the starting time from the ending time. The calculation is as follows:

15:16 - 14:40 = 0:36

So, Gary was on the Ferris wheel for 36 minutes.

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2:40 to 3:16

2:40 to 3 is 20 min

3 to 3:16 is 16 min

20+16=36

So, Gary was on the ride for 36 minutes!

For a certain breed of dog, suppose the offspring of a black dog is black with probability 0.6 and brown with probability 0.4. Also for this breed, suppose the offspring of a brown dog is black with probability 0.2 and brown with probability 0.8. If Rex is a brown dog of this breed, what is the probability that his grand-pup will be black?

0.28

Step-by-step explanation:

For a certain breed of dog,

OFFSPRING OF A BLACK DOG:

Is black = 0.6          Is brown = 0.4

OFFSPRING OF A BROWN DOG:

Is black = 0.2          Is brown = 0.8

If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?

The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.

The probability that his black pups produce black pups:

0.2 × 0.6 = 0.12

The probability that his brown pups produce black pups:

0.8 × 0.2 = 0.16

The probability that his grand pup will be black = 0.12 + 0.16 = 0.28

The probability that the grand-pup of a brown dog (like Rex) will be black is calculated by multiplying the probability that a brown dog will produce a black offspring (0.2) by the probability that a black dog will produce a black offspring (0.6). This results in a probability of 0.12, or 12%.

### Explanation:

In this problem, you're looking at the probability of a twice-removed descendent (a grand-pup) being a certain color, given the starting color of the ancestor (Rex). Since the color of the offspring is dependent on the color of the parent, this is a conditional probability problem.

The probability that the offspring of a brown dog will be black is 0.2. If that dog is black, the probability of its own offspring being black is 0.6. So, you multiply those probabilities together to find the probability that a brown dog will have a black grandpup, which is 0.2 * 0.6 = 0.12, or 12%. Therefore, the probability that Rex's grandpup will be black is 12%.

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If 25% is 14, what is 100%?

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

A truck weighs 16,000 pounds. What is the weight range in tons?

8

Step-by-step explanation:

uh idrk all ik is that 16,000 punds = 8 tons

8
16,000 pounds equals 8 tons

Miguel has a jar full of dimes and quarters. There are a total of 115 coins with a total value of\$17.05. The system of equations that represents this situation is as follows: d + q =115 and
10d + 25 = 1705 How many MORE dimes than quarters are in Miguel's jar?​