Solve the system of equations below

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute

GREYUIT [131]

Answer:

(a) Null Hypothesis, $H_0$ : $\sigma$ = 10 beats per minute

Alternate Hypothesis, $H_A$ : $\sigma\neq$ 10 beats per minute

(b) The value of chi-square test statistics is 35.704.

(c) P-value = 0.4360.

(d) We conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.

Step-by-step explanation:

We are given that a simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute.

If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute.

Let $\sigma$ = population standard deviation for the pulse rates of men.

(a) So, Null Hypothesis, $H_0$ : $\sigma$ = 10 beats per minute {means that the pulse rates of men have a standard deviation equal to 10 beats per minute}

Alternate Hypothesis, $H_A$ : $\sigma\neq$ 10 beats per minute {means that the pulse rates of men have a standard deviation different from 10 beats per minute}

The test statistics that will be used here is One-sample chi-square test for standard deviation;

T.S. = $\frac{(n-1)\times s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 10.1 beats per minute

n = sample of men = 36

So, the test statistics = $\frac{(36-1)\times 10.1^{2} }{10^{2} }$ ~ $\chi^{2}__3_5$

= 35.70 4

(b) The value of chi-square test statistics is 35.704.

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

P-value = P( $\chi^{2}__3_5$ > 35.704) = 0.4360

(d) Since the P-value of our test statistics is more than the level of significance as 0.4360 > 0.10, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.

Therefore, we conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.

3 0

4 years ago

[[ CHECK THIS ASAP PLEASE ]] Is my answer correct or no?

Natalija [7]

the shape is NOT a rhombus, because opposite sides are parallel but not all sides are congruent in length.

This shape is instead a parallelogram, where opposite sides are parallel but all sides do not have to be the same length

if 2 pairs of opposite sides are parallel, then opposite sides must be congruent, changing the angles will create nonparallel opposite sides that are unequal length and neither a parallelogram nor rhombus

8 0

3 years ago

Оо О ср А Divide: 5/8 divided by 3/4

Angelina_Jolie [31]

Answer:

solution

5/8 ÷3/4

=5÷3=1.6666666667

=4÷8=2

=11

2

3 0

3 years ago

Please help 1 2 5 100

Radda [10]

Answer:

5 sec

Step-by-step explanation:

The graph shows that the t-intercept is (5,0). This immediately tells us that when the ball hits the ground, y=0 at t=5 sec.

7 0

3 years ago

12,345,000 is 10 times as much as

ExtremeBDS [4]

12,345,000 divided by 10 is 1,234,500 so that is the answer

5 0

3 years ago

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