A bowl is the shape of a hemisphere and made out of thick clay. The diameter of the outside bowl is 44.6 cm. And the diameter of
the inside bowl is 41.6 cm.
a) If the bowl is filled up to the top, find how much soup could it hold?
b) Calculate the volume of clay that is needed to make a single bowl?
c) Six bowls are to be packed in a box side by side. The boxes dimensions are 22.5 cm by 90 cm by 135 cm. Sawdust packing is put in the box. What volume of the sawdust packing is needed?
a) If the bowl is filled up to the top, find how much soup could it hold?
b) Calculate the volume of clay that is needed to make a single bowl?
c) Six bowls are to be packed in a box side by side. The boxes dimensions are 22.5 cm by 90 cm by 135 cm. Sawdust packing is put in the box. What volume of the sawdust packing is needed?
1 answer:
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Answer:
We conclude that a web-based company are not exceeding their goal of 90%.
Step-by-step explanation:
We are given that a web-based company has a goal of processing 90 percent of its orders on the same day they are received.
434 out of the next 471 orders are processed on the same day.
Let p = <u><em>proportion of orders processing on the same day they are received.</em></u>
SO, Null Hypothesis, : p
0.90 {means that they are not exceeding their goal of 90%}
Alternate Hypothesis, : p > 0.90 {means that they are exceeding their goal of 90%}
The test statistics that would be used here <u>One-sample z test for</u> <u>proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of orders that are processed on the same day =
= 0.92
n = sample of orders = 471
So, <u><em>the test statistics</em></u> =
= 1.599
The value of z test statistics is 1.599.
<u>Now, at 0.025 significance level the z table gives critical value of 1.96 for right-tailed test.</u>
Since our test statistic is less than the critical value of z as 1.599 < 1.96, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.
Therefore, we conclude that a web-based company are not exceeding their goal of 90%.