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sergij07 [2.7K]
3 years ago
15

A company that packages salted and unsalted mixed nuts received a complaint that claimed that the company’s salted packages cont

ain more whole cashews than their unsalted packages do. The quality control department investigated the claim by randomly selecting a sample of 45 of each type of package, counting the number of cashews in each package, and finding the mean and standard deviation for both types of packages. Which of the following are the correct null and alternative hypotheses to test the complaint’s claim, where μS is the mean number of cashews per package of salted nuts and μU is the mean number of cashews per package of unsalted nuts?
A. H0 : mu1 - mu2 = 0; Ha : mu1 - mu2 = 0.
B. H0 : mu1 - mu2 = 0; Ha : mu1 - mu2 > 0.
C. H0 : mu1 - mu2 < 0; Ha : mu1 - mu2 > 0.
D. H0 : mu1 - mu2 = 0; Ha : mu1 - mu2 < 0.
E. H0 : mu1 - mu2 > 0; Ha : mu1 - mu2 = 0.
Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

H_0 : \mu_1 - \mu_2 = 0

H_a : \mu_1 - \mu_2 \ne 0

Step-by-step explanation:

Let the salted package be represented with 1 and the unsalted, 2.

So:

\mu_1: Mean of salted package

\mu_2: Mean of unsalted package

Considering the given options, the null hypothesis is that which contains =.

So, the null hypothesis is:

H_0 : \mu_1 - \mu_2 = 0

The opposite of = is \ne. So, the alternate hypothesis, is that which contains \ne

So, the alternate hypothesis is:

H_a : \mu_1 - \mu_2 \ne 0

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7 0
3 years ago
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The work of a student to solve the equation 2(5y − 2) = 12 + 6y is shown below:
jolli1 [7]
We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
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In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
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In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

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8 0
3 years ago
The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of  3rd angle

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Step 2 :

Given that the measure of  3rd angle of  triangle is 25​° more than three times the measure of either of the other two​ angles

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Step 4:

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8 0
3 years ago
hannahs exercise goal is to walk at least 6 1/2 miles this week. she has already walked 2 3/4 miles this week. write and solve a
Ne4ueva [31]

We want to write an inequality that tells how much Hannah should walk this week. The inequality will be:

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6 0
2 years ago
Hello does anyone know how to solve this?
Radda [10]

Hello from MrBillDoesMath!

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Discussion:

- 4 log {8} 2            {8} is used instead of subscript notation


Basic property of logarithms is that exponents become multipliers and vice versa:


-4 log {8} 2 =  log {8}   (2^ -4)



Thank you,

MrB

5 0
3 years ago
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