Need help with problem number 4? how do you get the answer?

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.

Let $\mu$ = average ounces of passion fruit juice used to fill each bottle.

(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 One-sample z test statistics 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, test statistics = $\frac{21.54-22}{\frac{1.38}{\sqrt{65} } }$

= -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.

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 we reject our null hypothesis.

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

) Multiply. What is the product (3 x 10^9) * (2 x 10^17) in scientific notation?

Tasya [4]

Answer:

6 ×10^26

hope it helped

have a good day mate

4 0

2 years ago

Read 2 more answers

Lets play a division game 3,072÷32

mario62 [17]

3,072 ÷ 32 = 96

Hope this helps

6 0

3 years ago

Read 2 more answers

The weight of four-ounce bags of cashews packaged in a cashew plant follows normal distribution with a standard deviation of 0.0

Marianna [84]

Since the sample size is too small (n = 9, which is less than 10) we cannot use the normal model to describe the entire population.
Therefore, we expect the sample mean to be different from the population mean.

3 0

3 years ago

I will give Brainliest to the first person!!! plzzzz helpppp meeeee

Over [174]

Answer:

Conversion a mixed number -3 1

2

to a improper fraction: -3 1/2 = -3 1

2

= -3 · 2 + (-1)

2

= -6 + (-1)

2

= -7

2

To find new numerator:

a) Multiply the whole number -3 by the denominator 2. Whole number -3 equally -3 * 2

2

= -6

2

b) Add the answer from previous step -6 to the numerator 1. New numerator is -6 + 1 = -5

c) Write previous answer (new numerator -5) over the denominator 2.

Minus three and one half is minus five halfs

Conversion a mixed number -1 1

4

to a improper fraction: -1 1/4 = -1 1

4

= -1 · 4 + (-1)

4

= -4 + (-1)

4

= -5

4

To find new numerator:

a) Multiply the whole number -1 by the denominator 4. Whole number -1 equally -1 * 4

4

= -4

4

b) Add the answer from previous step -4 to the numerator 1. New numerator is -4 + 1 = -3

c) Write previous answer (new numerator -3) over the denominator 4.

Minus one and one quarter is minus three quarters

Multiple: -7

2

* (-5

4

) = -7 · (-5)

2 · 4

= 35

8

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 8) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - minus seven halfs multiplied by minus five quarters = thirty-five eighths.

Unary minus: -7

2

= -7

2

Subtract: the result of step No. 4 - (-17

4

) = -7

2

- (-17

4

) = -7 · 2

2 · 2

- (-17)

4

= -14

4

- (-17

4

) = -14 - (-17)

4

= 3

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - minus seven halfs minus minus seventeen quarters = three quarters.

Compare: the result of step No. 3 = the result of step No. 5 = 35

8

= 3

4

= 35

8

vs 3

4

= 35

8

vs 3 · 2

4 · 2

= 35

8

vs 6

8

= 35 vs 6 = No

Step-by-step explanation:

3 0

3 years ago