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2 years ago

Original price is $95 and percent of discount is 35% what is the sale price

Mathematics

2 answers:

gogolik [260]2 years ago

5 0

95(.35)= 33.25
95-33.25=61.75$ discounted price

love history [14]2 years ago

3 0

95/100=0.95
0.95 times 35=33.25
$95-$33.25=61.75
The sale price is 61 dollars and seventy five cents

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The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

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$F_{critical} = 1.8608$

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The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

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