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vova2212 [387]
3 years ago
10

Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted

to find out whether the SPF of sunscreens used by students at her school exceeds this value on average? To collect data, the author surveyed students in her introductory statistics course and found that in a sample of 52 students the mean SPF was 34.55 and the standard deviation of SPF was 20.12. The data were not strongly skewed.​
Required:

Use the Theory-Based Inference applet to find and report the 95% confidence interval for the parameter of interest.
Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

95% confidence interval = ( 28.9485, 40.1515 )

Step-by-step explanation:

sample size( n ) = 52

mean value ( x )= 34.55

std ( б ) = 20.12

H0 : <em>u </em>≤ 30

Ha : u > 30 ( claim )

95% confidence interval for mean SPF level ( df = 51 )

= mean value ±  (2.0076 + \frac{20.12}{\sqrt{52} } )

95% confidence interval = ( 28.9485, 40.1515 )

we cannot reject H0

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nataly862011 [7]

Answer:

The inequality that best suits the description is choice C because Addison wants to ride her bicycle more than 80 miles this week so the inequality before 80 is used greater than>. the addition sign is put between 6m and 18 because the total of this two miles will give the total of more than 80 miles. So Addison's goal can be achieved.

the answer to other question isB. x=417.6

0.5x= 287- 78.2

= 208.8

x= 208.8÷5

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5 0
3 years ago
Can I get some help on this please
Phantasy [73]
Which question are you talking about 1 or 2?
7 0
3 years ago
Is sec (−θ) equal to sec θ or - sec θ? How do you know?
Lorico [155]

Answer:

sec(- θ ) = secθ

Step-by-step explanation:

The relationship between sec and cos is

sec x = \frac{1}{cosx}

Now cos(- x) = cosx

Thus

sec(- θ ) = secθ

8 0
3 years ago
Multiply the following using the vertical multiplication method 3x ^ 2 - 5x + 1 x * x ^ 2 + 2x + 4
Klio2033 [76]

Answer:

=x3+3x2−3x+4

Step-by-step explanation:

Let's simplify step-by-step.

3x2−5x+1xx2+2x+4

=3x2+−5x+x3+2x+4

Combine Like Terms:

=3x2+−5x+x3+2x+4

=(x3)+(3x2)+(−5x+2x)+(4)

=x3+3x2+−3x+4

7 0
3 years ago
The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest r
marin [14]

Answer:

0.11

Step-by-step explanation:

Probability that house sale will increase = P(A) = 0.25

Probability that interest rate on house loans will go up = P(B) = 0.74

Probability that either house sales will go up or interest rates will go up = P(A or B ) = 0.89

We have to find the probability that neither house sales nor interest rates will increase. This event is the compliment of the event that either house sales will go up or interest rates will go up.

i.e.

Probability that neither house sales nor interest rates will increase = P(A \cup B)^{c}

P(A\cup B)^{c} = 1 - P(A \cup B)

Using the value of P(A U B), we get:

P(A\cup B)^{c} = 1 - 0.89\\\\ P(A\cup B)^{c} = 0.11

The probability that neither house sales nor interest rates will increase during the next 6 months is 0.11

7 0
3 years ago
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