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SashulF [63]
3 years ago
13

The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.

78 ounces with a standard deviation of 0.41 ounces. At the 5% level of significance, is the true mean smaller than the specification?
Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

Step-by-step explanation:

The average weight of a package of rolled oats is supposed to be at least 18 ounces

Null hypothesis: u >= 18

Alternative: u < 18

Using the t-test formula, we have

t = x-u/ (sd/√n)

Where x is 17.78, u = 18, sd = 0.41 and n = 18

t = 17.78-18 / (0.41/√18)

t = -0.22 / (0.41/4.2426)

t = -0.22/ 0.0966

t = -2.277

Since, this is a left tailed test, at a significance level of 0.05, the p value is 0.01139. Since the p value is less than 0.05, we will reject the null hypothesis and conclusion that the true mean smaller than the actual specification.

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Answer:

10/4 equals 2 1/2 when simplified.

Step-by-step explanation:

10/4 = 2 2/4 or 2 1/2 when simplified.

This is because, 4 x 2 = 8, and 8 + 2 (or 1/2 of 4) = 10.

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2 years ago
Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x -
andrezito [222]

The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

<h3>what is the graph of logarithmic function?</h3>

The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right

if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.

Given graph : y = ln(x), has a vertical and horizontal translation.

As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.

  • If ln(x - k), then the graph is translated right k units.
  • If ln(x + k), then the graph is translated left k units.
  • If ln(x) + h, then the graph is translated up h units.
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Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

Learn more about this concept here:

brainly.com/question/9832306

#SPJ1

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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

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