Answer:
Explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
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 determine if the mean is lower than 5600, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-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:
Answer:
price earning ratio = 2
Explanation:
given data
Book value = $40 per share
Par value = $12 per share
Dividends = $5 per share
Dividend payout ratio = 20 %
Dividend yield ratio = 10 %
solution
first we get here market price per share by dividend yield ratio that is express as
dividend yield ratio = Dividends per share ÷ market price per share ........................1
put here value we get
market price per share = 
market price per share = $50
and
now we get earning per share by dividend payout ratio that is express as
dividend payout ratio = dividend per share ÷ earning per share .................................2
put here value we get
earning per share = 
earning per share = $25
so now we get here price earning ratio that is
price earning ratio = market price per share ÷ earning per share ..........................3
put here value we get
price earning ratio = 
price earning ratio = 2
HDI includes life expectancy, education and per capita income indicator, which is a measurement that is used to rank countries, therefore suggesting that when the lifespan of the country is high the country's score of HDI is also high and thus the education level is high and the GDP per capita is also high as well.
Answer:
t value is 1.495
Explanation:
The null and alternative hypothesis are :
H0 : mu = 1327
ha: mu > 1327
This is a one tailed test
Critical value = 1.771
at 0.05 significance level with df = 14-1 = 13
test statistics:
s = 411.53, n = 14
t = (xbar -mu)/(s/sqrt9n))
= ( 1491.43 - 1327)/(411.53/sqrt(14))
= 1.495
Decision:
Reject H0 if tstat > 1.771
Fail to reject H0
Answer:
This is because a change in autonomous expenditure changes income and sets off further changes in induced expenditure.