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Sunny_sXe [5.5K]
3 years ago
14

In measuring reaction time, a psychologist estimates that a standard deviation is .05 seconds. How large a sample of measurement

s must he take in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds?
Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

97

Step-by-step explanation:

We are asked to find the size of sample to be 95% confident that the error in psychologist estimate of mean reaction time will not exceed 0.01 seconds.

We will use following formula to solve our given problem.

n\geq (\frac{z_{\alpha/2}\cdot\sigma}{E})^2, where,

\sigma=\text{Standard deviation}=0.05,

\alpha=\text{Significance level}=1-0.95=0.05,

z_{\alpha/2}=\text{Critical value}=z_{0.025}=1.96.

E=\text{Margin of error}

n=\text{Sample size}

Substitute given values:

n\geq (\frac{z_{0.025}\cdot\sigma}{E})^2

n\geq (\frac{1.96\cdot0.05}{0.01})^2

n\geq (\frac{0.098}{0.01})^2

n\geq (9.8)^2

n\geq 96.04

Therefore, the sample size must be 97 in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds.

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There are 15 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
svlad2 [7]

Answer:

12 Men

Step-by-step explanation:

Since the ratio is 4:5 (men:women) 15/5 = 3, so you use 3 as your multiplier and write 3 x 4 = 12 :D

6 0
2 years ago
The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr
Montano1993 [528]

Answer:

66\frac{2}{3}%

Step-by-step explanation:

Total Reservations = 5 + 3 + 4 + 7 + 26 + 30 + 9 = 84

Reservations for Fri and Sat = 26 + 30 = 56

So, for friday and saturday, it is:

56/84

Dividing top and bottom by 28, we get:

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Diving, we get:

0.66667

Converting to percentage:

0.66667 * 100 = 66.66667%

This is basically 66 and 2/3rd Percent.

We can write it as:

66\frac{2}{3}%

5 0
3 years ago
Which expression is equivalent to -7(y - 2)
Neko [114]

The expression equivalent to -7(y - 2) is -7y + 14

<h3>Which expression is equivalent to -7(y - 2)?</h3>

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

Learn more about expressions here: brainly.com/question/13947055

#SPJ1

5 0
1 year ago
One third + one fourth
LuckyWell [14K]

Answer:

1/3 + 1/4 equals 7/12

if you click the image it will show you how to get the answer.

7 0
2 years ago
Rita bought 4 rulers for $4.00. If r represents the number of rulers purchased, which equation represents this situation?
Wittaler [7]

Answer: 4r = 4

Step-by-step explanation:

Ruth bought 4 rulers and each ruler is to be represented by r. She therefore bought:

= 4r

She bought these for a total of $4.00 so the equation then becomes:

4r = 4.00

Equation representing situation is: 4r = 4

8 0
2 years ago
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