Answer:
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Step-by-step explanation:
State the null hypothesis
H0: u = 60against the claim
Ha u≠ 60 (this is a two tailed test)
Sample size n= 36
Sample mean=X`= 55
Population mean = u= 60
The significance level α = 0.05
Standard deviation= Sd = 22 seconds
Z= X`- u / Sd /√n
Z= 55- 60 / 22/√6
z= - 5/22/6
Z= -1.3635
The value of z from the table is Z∝/2= ±1.96
The critical region is less than - 1.96 and greater than 1.96.
Since the calculated value of Z does not fall in the critical region we accept our null hypothesis that mean = 60 seconds
Answer:
13.75
Step-by-step explanation:
you need to add them all
5+16+20+14
divide the sum of those by 4
55/4=13.75
Answer: 2•15+3•8-100
Step-by-step explanation:
Answer:
f(x) = $25 + $75x.
Domain: positive whole numbers.
Range: f(x) ≥ $25
Step-by-step explanation:
Let x denote the total number of tour member, charging $75 per tour member implies $75x.
Therefore, the tour company charges:
f(x) = $25 + $75x
The Domain of the function, which is the possible value of x, is the set of all positive whole numbers. You can't have negative numbers because no such thing as "negative member," also you can't have fractions because no such thing is "2/3 member (for instance)."
The range, which are all the values of f(x) after putting a particular value from the domain in f(x), is the numbers from 25 and above. That is f(x) ≥ 25. This is because, if there are no tour members, they pay for hiring director only which is $25, if we have one member, the money increases to $100 and so on. These values are from 25 upwards.
.8 it represents .80 cents. rather than .08 which would represent 8 pennies