M and N are two events P(M) = 0.60, P(N) = 0.20, and P (M and N) = 0.1.

From a survey of coworkers you find that 32% of 150 have already received this year's flu vaccine. An approximate 98% confide

Artyom0805 [142]

Answer:

a) Narrower

b) Narrower

c) Wider

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32%

98% confidence interval: (0.231, 0.409)

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

a) Sample size had been 600 instead of 150

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90% instead of 98%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.

c) Confidence level had been 99% instead of 98%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

4 0

1 year ago

Part A: Consider the distance from the school to the coffee shop and the distance from the library to the coffee shop. Draw thei

N76 [4]

Answer:

See below

Step-by-step explanation:

<em>Refer to attached. All answers included.</em>

<u>Note. Will mainly refer to y-coordinates in distance questions</u>

Distance from coffee shop to library: 16 -8 = 8
Distance from coffee shop to school: 16 - 10 = 6 = x
Distance from school to library: 10 - 8 = 2 = y
Ratio x:y = 6: 2 = 3:1

Distance from Sergio's home to Saskia's home: 19 -3 = 16
Distance from Sergio's home to Post office: 16*1/4 = 4
Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15

Distance from Kay's home to twin theater: 20 - 4 = 16
Distance from twin theater to market: 16*3/4 = 12
Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8

5 0

1 year ago

Sofia measures the length of her car as 16 feet. What is the greatest possible error? ______ feet What is the margin of error? _

Genrish500 [490]

Answer:

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?

What is the margin of error?

Step-by-step explanation:

3 0

1 year ago

A test tube contains 25 bacteria, 5 of which are can stay alive for atleast 30 days, 10 of which will die in their second day. 1

boyakko [2]

Answer:

c. $\frac{1}{5}$

Step-by-step explanation:

Given,

Number of bacterias who alive for at least 30 days = 5,

Bacterias who alive for 2 days = 10,

Died bacterias = 10,

Total bacterias = 5 + 10 + 10 = 25,

Ways of choosing a bacteria = $^{25}C_1$ = $\frac{25!}{1! 24!}$ = 25,

While, ways of choosing of a bacteria who will live after 1 week = $^5C_1$ = $\frac{5!}{1!4!}$ = 5,

Hence, the probability it will still be alive after one week = $\frac{5}{25}$ = $\frac{1}{5}$

OPTION C is correct.

3 0

1 year ago

Mr robbins earns a commission on each airfare he books. At the end of the day,he had booked $208.60 worth if airfare and earned

LenKa [72]

Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

Mr robbins earns a commission on each airfare he books.

At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.

Here

Part value = $31.29

Total value = $208.60

Put in the formula

$Percentage = \frac{31.29\times 100}{208.60}$

$Percentage = \frac{312900}{20860}$

Percentage = 15%

Therefore the Mr. Robins commision rate is 15%.

4 0

1 year ago