Answer:
1. 
2. 
3a. 
3b. 3
3c. 
4. 
Step-by-step explanation:
1.
Rises 6 inches for every horizontal change of 16 inches
Slope = rise/run
Slope = 6/16
Slope = 3/8
2.
Rises 3 feet for every horizontal change of 12 feet
Slope = rise/run
Slope = 3/12
Slope = 1/4
3a.




3b.




3c.




4.

Answer:
The larger the number of items in the sample, the more closely the distribution of sample items will follow a bell-shaped curve
Step-by-step explanation:
The question is about the distribution of the sample
The sampling distribution, also called the distribution of the sample mean is the distribution for many samples drawn form population at random for large sizes.
As per central limit theorem, if samples of sufficiently large size to represent the population is drawn from the population, the sample means of all sample will follow a normal distribution and hence bell shaped.
So from the options we say a is incorrect because not always
b is incorrect because there is no mention about the chance.
c is incorrect because when we use sample variance we use t test
Option d is correct.
The larger the number of items in the sample, the more closely the distribution of sample items will follow a bell-shaped curve
Answer:
She should offer a guarantee of 13.76 years.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that 
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.




She should offer a guarantee of 13.76 years.
Its the same as angle 1 ///////////////////////////////////