Answer:
The simple interest was earned is $116
Yes; the answer is $116
Step-by-step explanation:
- The rule of the simple interest is:
→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate
of interest in decimal, and t is the time of investment
- Casey deposited $1,450 in a bank account with an interest rate of 4%
- We need to find the amount of interest Casey earned in two years
- The interest is simple
∵ P = $1450
∵ r = 4% = 4/100 = 0.04
∵ t = 2 years
∵ The interest is simple
∴ <em>I = Prt</em>
- Substitute the values of P , r , t in the rule
∴ I = 1450 × 0.04 × 2 = 116
∴ <em>The simple interest was earned is $116</em>
* <em>Yes; the answer is $116</em>
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
Answer:
mean = 78.4
median = 77.5
mode = 75
This is Right - skewed (positive skewness) distribution
Step-by-step explanation:
<u>Mean:-</u>
The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻
mean = 
mean (x⁻ ) = 78.4
The mean of the given data = 78.4
<u>Median:</u>
The median is found by ordering the set from lowest to highest and finding the exact middle.
64 ,75, 80, 98
The middle term of the given data set = 
<u>Mode :</u>
The mode is the most common repeated number in a data set.
64 ,75, 75, 80, 98
in data the most common number = 75
<u>Conclusion</u>:-
mean = 78.4
median = 77.5
mode = 75
This is Right - skewed (positive skewness) distribution
