Answer:
Hypothesis rejected
Step-by-step explanation:
Lets use the t-test since the variance of the population is now known. We need to test the hypothesis that H_0: \mu \leq 79 \text{ vs } H_1: \mu > 79 . This is performed in R as follows:
t.test(tt$Test.2.Score,mu=79,alternative="greater")
One Sample t-test
data: tt$Test.2.Score
t = 2.9238, df = 69, p-value = 0.002337
alternative hypothesis: true mean is greater than 79
95 percent confidence interval:
81.26555 Inf
sample estimates:
mean of x
84.27143
Thus, we reject the null hypothesis and conclude that \mu > 79.
Answer:
B. y = -0.58x^2 -0.43x +15.75
Step-by-step explanation:
The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.
The second choice is appropriate.
_____
The other choices are ...
A. a parabola opening upward
C. an exponential function decaying toward zero on the right and tending toward infinity on the left
D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)
Answer:
a. is not found to be significant.
Step-by-step explanation:
Regression analysis is a statistical technique which is used for forecasting. It determines the relationship between two variables. It determines the relationship of two or more dependent and independent variables. It is widely used in stats to find trend in the data. It helps to predict the values of dependent and independent variables. In the given question, there are 25 observations and the regression equation is given. X and Y are considered as dependent variables.
Answer:
Step-by-step explanation:
The equation A = d(1.005)^12t modelling the value of Daniel’s investment shows a monthly compounded interest. This means that the interest is compounded 12 times in a year.
We can confirm by inputting the given values
t = 8 years
d = 509
Therefore,
A = 500(1.005)12 × 8
A = 500(1.005)^96
A = $807.07
Therefore, the true statements are
Increases
Exponential
Never Decrease
Answer:
Step-by-step explanation:
The exponential function that decrease by 15% every time x increases by 1 is given by:
We simplify the parenthesis to get:
Therefore the decrease by 15% every time x increases by 1 is
The second choice is correct.
