Answer:
a
Step-by-step explanation:
Answer:
The test statistic for Norah's test is
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:
At the alternate hypothesis, we test if it is differente than 500 ml, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that
Calculate the test statistic for Norah's test.
The test statistic for Norah's test is
The percentage increase in pay, you have to receive in order to gain your original salary again will be 8.70%.
<h3>What is
the percentage?</h3>
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
You decide to work fewer hours per week, which results in an 8% decrease in your pay.
Then the percentage increase in pay you have to receive in order to gain your original salary again will be
The decrease in salary is 8%
Assume the original salary to be $100.
Then the decreased salary = 100 (1 - 8%) = 100 92% = $92
To attain the former wage of $100, we must find the percentage increase in the lowered salary. We expect an X percent rise in the reduced compensation.
Then we have
92 * (1 + X%) = 100
(1 + X%) = 100 / 92
(1 + X%) = 1.08695652174
X% = 0.086956
X% = 8.6956%
X% = 8.70%
Thus, the decreased salary will have to be increased by 8.70%
More about the percentage link is given below.
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Hello! For this question, we are looking for the percent of change. The formula for percent of change is change/original = x/100, where change is tge difference between two numbers, and the original is the previous number. 136,500 - 130,000 is 6,500. The original number is 130,000. It would be set up like this:
6,500/130,000 = x/100
Let's cross multiply the values. 6,500 * 100 is 650,000. 130,000 * x is 130,000x. That makes 650,000 = 130,000x. Now, divide each side by 130,000 to isolate the x. 130,000x/130,000 cancels out. 650,000/130,000 is 5. There. x = 5% increase. The answer is A: 5%.