Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it i tested if the mean difference remains the same, that is:

At the alternative hypotheses, it is tested if it has decreased, hence:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
The parameters are given as follows:
.
Hence the test statistic is given by:


More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:

Step-by-step explanation:
Given:
First Number = 97
Second Number = 
We need to find the product of two numbers in Scientific notation.
Product of two numbers means we need to multiply two number.
Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.
Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.
Number of decimal point moved needs to be counted. This number is b.
If decimal are moved to the left b is positive.
If decimal are moved to the right b is negative.
If decimal are not moved b = 0.
scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."
Hence the product is;

Expressing in Scientific Notation form we get

Hence the Answer is
.
Answer:
30 that singular tickets for each friend and if your asking for total it would be 120. :)
Step-by-step explanation:
They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)
hope this helped
*See attached picture showing the dot plots referred to
Answer:
16mm
Step-by-step Explanation:
Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.
Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.
From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.
Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.