The probability that the sample mean would be less than 43.4 dollars is 0.9292.
<h3>What is a probability?</h3>
Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.
From the information, the mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49 and a sample of 54 bags of shrimp is randomly selected.
Therefore, the probability will be:
P(x < 43.4)
Using normal distribution
= P(z < 43.4 - Mean( / 7/✓54)
= P(z < 43.4 - 42( / 7/✓54)
= P(z < 1.4697)
= 0.9292
The probability is 0.9292.
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Answer:
The null and alternative hypotheses are:


Under the null hypothesis, the test statistic is:




Now, we have to find the right tailed z critical value at 0.10 significance level. Using the standard normal table, we have:

Since the test statistic is greater than the z critical value, we therefore, reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the university students weigh more than the population.
1. 30 in
2. 40 in
I hope this helped
Answer:
When slope and one point are known follow instructions on this page:
http://www.1728.org/distance.htm
Calculate "b" from this equation:
b = y -mx where "m" is the slope
We'll use the point given (-2, -1) for "x" and "y"
b = -1 -(8/7) * -2
b = -1 + 16/7
b = 9/7
then we enter "b" and the slope into this equation
y = 8/7x +9/7
y = 1.142857 x + 1.2857142857
Step-by-step explanation:
Okay. When it comes to multiplying decimals, you multiply them just like you would do whole numbers. However, solving them by paper, you would add a decimal point into the answer, depending on how many numbers are behind the decimal point in the numbers being multiplied. In this case, the decimal point will go in front of two numbers, because there are two numbers behind the decimal point in -1.2 and 0.4. Know that the answer will be negative, because there is one negative and one positive number.
Multiply both numbers. -1.2 * 0.4 is -0.48. There. The product is -0.48.