Cassandra earns $12.98 an hour working at Key Food. How much money will she

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 $\mu$ = mean sunspot activity during the Spanish colonial period.

(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 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 = 47

σ = population standard deviation = 35

n = sample of periods from Spanish colonial times = 40

So, the test statistics = $\frac{47-41}{\frac{35}{\sqrt{40} } }$

= 1.08

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

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

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

= 1 - 0.8599 = 0.1401

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 we fail to reject our null hypothesis.

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

Sidney takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut she makes is

tatiyna

Answer: The length is 3 or 9 hope this helps.

Step-by-step explanation:

7 0

3 years ago

Find the sum of (6d+5)-(2-3d)

devlian [24]

I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3

7 0

3 years ago

Write the equation of the line slope 2, through (3,1)

Arisa [49]

answer:

y = 2x - 5

work:

to write equations, we use the format y = mx + b.

m stands for the slope, and b stands for the y intercept.

this means that you should be able to enter the values for y and x and get a valid equation as a result.

in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.

so, let's substitute in the values of y and x and the slope,

and solve for b, the y intercept.

1 = 2(3) + b (multiply 2 x 3)

1 = 6 + b (subtract 6 from both sides)

- 5 = b

b has a value of -5. let's place this into the equation.

y = 2x - 5.

the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.

1 = 2(3) - 5

1 = 6 - 5

1 = 1

so, this equation is correct. hope this helps and have a great day!

6 0

3 years ago

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Linda constructs a triangle with one side 5 inches long and another side 7 inches long. Which is not a possible lenght for the t

Soloha48 [4]

Answer:

2 inch (or less);

12 inch (or more)

3 0

3 years ago

Read 2 more answers