A recent study claims that business travelers spend an average of $39 per day for meals. A sample of 15 business travelers found that they had spent an average of $42 per day with a standard deviation of $3.78. If α=0.05, what is the test value?

The test statistic value 't' = 3.074

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 15

mean of the Population 'μ' =  $39

mean of the sample x⁻ =  $42

standard deviation of the sample 's' =  $3.78

Degrees of freedom ν = n-1 = 15-1 =14

Null hypothesis : There is no significance difference between the means

H₀ :  x⁻  =  'μ'

Alternative hypothesis : There is significance difference between the means

H₀ :  x⁻ ≠  'μ'

Test statistic  

t = 3.074

The test value of t-statistic  t = 3.074

The calculated value  t = 3.074 > 1.769 at 0.05 level of significance

null hypothesis is rejected

Alternative hypothesis is accepted

Final answer:-

There is significance difference between the means

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !