The answer to your question is 40
Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:

The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
This is the concept of scale factors. Given that Joaquin has reduce the dimensions of a picture by scale factor of 0.3 and the original dimension was 10 cm length by 10 cm width, the new dimension will be:
New length=(old length)×(scale factor)
New width=(old width)×(scale factor)
Plugging the values in the above formulas we get:
New length=15x0.3=4.5 cm
New width=10×0.3=3 cm