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Maru [420]
3 years ago
9

The weather map shows a zone of possible flash flooding in front of a cold front.

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

GOOBA stream now on all platforms

Step-by-step explanation:

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A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Mandarinka [93]

Answer:

(a) Null Hypothesis, H_0 : \mu = 22 ounces  

    Alternate Hypothesis, H_A : \mu\neq 22 ounces

(b) The value of the test statistic is -2.687.

(c) The critical values are -1.96 and 1.96.

(d) We conclude that Reject H_0 since the value of the test statistic is less than the negative critical value.

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle.

He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

<em>Let </em>\mu<em> = average ounces of passion fruit juice used to fill each bottle.</em>

(a) So, Null Hypothesis, H_0 : \mu = 22 ounces     {means that the average of 22 ounces of passion fruit juice is used to fill each bottle}

Alternate Hypothesis, H_A : \mu\neq 22 ounces     {means that the average different from 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                        T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounce

            n = sample of bottles = 65

So, <u><em>test statistics</em></u>  =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }  

                               =  -2.687

(b) The value of z test statistics is -2.687.

(c) Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that Reject H_0 since the value of the test statistic is less than the negative critical value which means that the average different from 22 ounces of passion fruit juice is used to fill each bottle.

6 0
3 years ago
A color printer prints 34 pages in 12 minutes. How many pages does it print per minutes?
RSB [31]

Answer:

almost 3 per minute but not just about there yet

Step-by-step explanation:

34/12 = 2.8333333333~

6 0
3 years ago
Read 2 more answers
The cost of a ticket t will be no more than $26
OLEGan [10]

Answer: t  \leq \\\\ 26

Step-by-step explanation:

3 0
2 years ago
9.
dezoksy [38]

Answer:

A. $7.50=$2.95-13x B. Answer would be $0.35, this is because you first subtract 2.95 from both sides, after that you get 4.55, you then divide the 4.55 by 13 which is the amount of bagels Sylvie bought. This leave you with the number 0.35, which is how much each bagel cost, 35 cents.

Step-by-step explanation:

8 0
3 years ago
At a local park, Jared can choose between two circular paths to ride his bicycle. One path has a diameter of 240 yards, and the
amid [387]

Answer:

94.2 yards

Step-by-step explanation:

1st path = d = 120 yards

c= pie d

c= 376.8 yards

2nd yard = r = 45 yards

c = 2 pie r

c = 2(3,14)(45)

c = 282.6 yards

then subtract yard 1 and yard 2 to get 94.2 yard

ANSWER :94.2 yards

4 0
3 years ago
Read 2 more answers
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