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Do political science classes require less writing than history classes? The 55 randomly selected political science classes assig

saul85 [17]

Answer:

We conclude that political science classes require less writing time than history classes at 0.01 level of significance.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 16.3 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 54 randomly selected history classes assigned an average of 18.9 pages of essay writing for the course. The standard deviation for these 54 classes was 5 pages.

Let $\mu_1$ = average writing time required by political science classes.

$\mu_2$ = average writing time required by history classes.

So, Null Hypothesis, $H_0$ : $\mu_1\geq\mu_2$ {means that political science classes require more or equal writing time than history classes}

Alternate Hypothesis, $H_A$ : $\mu_1$ {means that political science classes require less writing time than history classes}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n_1_-_n_2_-_2$

where, $\bar X_1$ = sample average pages of essay writing for political science classes = 16.3 pages

$\bar X_2$ = sample average pages of essay writing for history classes = 18.9 pages

$s_1$ = sample standard deviation for political science classes = 4.8 pages

$s_2$ = sample standard deviation for history classes = 5 pages

$n_1$ = sample of political science classes = 55

$n_2$ = sample of history classes = 54

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(55-1)\times 4.8^{2}+(54-1)\times 5^{2} }{55+54-2} }$ = 4.90

So, test statistics = $\frac{(16.3-18.9)-(0)}{4.9 \sqrt{\frac{1}{55}+\frac{1}{54} } }$ ~ $t_1_0_7$

= -2.77

The value of t test statistics is -2.77.

Now, at 0.01 significance level the t table gives critical value of -2.365 at 107 degree of freedom for left-tailed test.

Since our test statistics is less than the critical value of t, 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 political science classes require less writing time than history classes.

3 0

3 years ago

Please i need help!!!!!

Nina [5.8K]

Area of the big rectangle : 60 ! area of entire figure : 80 !

3 0

3 years ago

PLEASE HELP kelly invested $1875 in a savings account which earns 3.35% interest compounded quarterly what will the account be w

attashe74 [19]

The account will be worth $2368.20 in 7 years.

The compound interest formula is

$A=p(1+\frac{r}{n})^{n\times t}$

where p is the principal invested, r is the interest rate as a decimal number, n is the number of times the interest is compounded yearly, and t is the amount of time.

3.35% = 3.35/100 = 0.0335.

Using our information, we have:
$A=1875(1+\frac{0.0335}{4})^{4*7}$

which comes out to $2368.20.

3 0

3 years ago

What is 15-9x5+77-19+44x24+79 i need help

inysia [295]

Answer:

1163

Step-by-step explanation:

5−(9)(5)+77−19+(44)(24)+79

=15−45+77−19+(44)(24)+79

=−30+77−19+(44)(24)+79

=47−19+(44)(24)+79

=28+(44)(24)+79

=28+1056+79

=1084+79

=1163

3 0

3 years ago

Write the inequality in words.. . 5n – 10 > 26. . Five times n less than ten is twenty-six?

aev [14]

The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,

4 0

3 years ago