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Anni [7]
3 years ago
8

Could you sub to me to help me out? It’s Vizion Ryze. I have 137 subs right now.

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

what do you need help wit

Step-by-step explanation:

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Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

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 = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
What’s the mean of 3,9,10,14,15,16
Ostrovityanka [42]
I think it might be 11.1
4 0
3 years ago
Read 2 more answers
A rectangular prism has a dimension x units ,2x units and x+8 units . Which expression represents the surface area of the prism
Alekssandra [29.7K]

Formula to find the surface area of the rectangular prism is:

2wl + 2lh + 2hw,

where w is width, l is the length, and h is height of the prism.

Given, the dimension x units ,2x units and x+8 units .

So, we can plug in w= x, l= 2x and h= x+8 in the above formula to get the expression for the surface area of the prism. Hence,

Surface area= 2wl + 2lh + 2hw

=2*x*2x+ 2*2x*(x+8)+2*(x+8)*x

= 4x²+4x(x+8)+2x(x+8) (By multiplying)

= 4x²+4x²+32x+2x²+16x (Multiplying by distribution)

=(4x²+4x²+2x²)+(32x+16x ) (Making the groups of like terms)

= 10x²+48x (Adding the like terms)

So, the expression 10x²+48x units² represents the surface area of the given prism.

5 0
2 years ago
What two digit number is three times the sum of its digits?
belka [17]
Answer is 27
2+7=9
9*3=27
4 0
3 years ago
What is -1/11 simplified
natka813 [3]

Answer:

-1/11 or -0.09

Step-by-step explanation:

This fraction is already simplified but the decimal form is about -0.09

4 0
3 years ago
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