30-8.25= 21.75
21.75/3.75= 5.8, you can't buy .8 of a soda so he could buy 5 sodas.
Answer: Test statistic = -8 and rejected region is (-∞,-1.966) and (1.966, ∞)
Step-by-step explanation:
Since we have given that
X is the length of a rod.
Sample Mean = 2 inches
Standard deviation = 0.5 inches
n = 400
Hypothesis are

Test statistics would be

Degrees of freedom = n-1 =400-1 =39
and 
Using the t-distribution table, we get that critical value z = 1.966
Since the two tail test will be applied to this,
So, the acceptance region will be (-1.966, 1.966)
Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)
Answer:32
Step-by-step explanation:
The value of the standardized test statistic for this significance test is 1.7265
Standardized test statistic
In statistics, the standardized test statistic means a way for you to compare your results to a “normal” population.
Given,
A city ordinance requires that more than 75% of its residents must agree to the construction of new public buildings (using tax dollars) before any such structures can be built. a proposal has been made to build a new recreational facility in the city, and sponsors of the proposal want to conduct a small survey to see if it would be approved if put to an official vote of all residents. a simple random sample of 150 residents revealed that 123 supported a change (and 27 did not).
Here we need to find the value of the standardized test statistic for this significance test.
While we looking into the given question we have identified the following values,
Random samples = 150
Supported values = 123
Not supported = 23
Aggreged percentage = 75%
So, the null and alternative hypotheses were as follows: H0: p = 0.75 and Ha: p ≠ 0.75.
Then the value of Standardized test statistic is calculated as,
=> (150 - 123) / (75 / √23)
=> 1.7265
To know more about Standardized test statistic here
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Answer:
1. is 38.85km. 2. is 155.4km
Step-by-step explanation: