1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marta [7]
3 years ago
11

The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees. One year, th

e temperature was 52 degrees F on that day. What is the Z-score for that day's temperature? Round to the appropriate number of decimal places for Z-scores. Is this temperature significantly high? (greater than 2)​
Mathematics
1 answer:
Basile [38]3 years ago
8 0

Answer:

The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If |Z| > 2, the measure X is significantly high(Z > 2) or significantly low(Z < -2).

The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees.

This means that \mu = 31, \sigma = 8.7

One year, the temperature was 52 degrees F on that day.

This means that X = 52.

What is the Z-score for that day's temperature?

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 31}{8.7}

Z = 2.41

The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.

You might be interested in
Carlos has 4/5​​​​ of a tank of fuel in his car. He uses 1/10 of a tank per day.
Fantom [35]
8 days, because 4/5 multiplied by 2 equals 8/10.
4 0
3 years ago
Read 2 more answers
A large city newspaper periodically reports the mean cost of dinner for two people at restaurants in the city. The newspaper sta
inysia [295]

Answer: C) 133

Step-by-step explanation:

The formula to find the sample size is given by :-

n=(\dfrac{z^*\cdot\sigma}{E})^2

, where z* = Critical z-value

\sigma = Population standard deviation for prior study.

E= Margin of error.

As per given , we have

\sigma=$35

E= 5

The critical z-value for 90% confidence level is 1.645.

Substitute al;l the value sin the above formula  , we get

n=(\dfrac{1.645\times 35}{5})^2

n=(\dfrac{57.575}{5})^2

n=(11.515)^2

n=132.595225\approx133

Hence, the minimum sample size needed is 133.

Thus , the correct answer is : C) 133

6 0
4 years ago
121 over 121 all the names that apply to each number
spayn [35]
121 over 121 is a whole number of 1

6 0
3 years ago
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited
morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set.  See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval.  See the second attached photo for the construction steps.

They want a 90% confidence interval.  Our sample size is 7, so since n < 30, we will use a t-score.  Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate.  It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate.  It's better to use 28 and underestimate a little when considering customer flow.

5 0
3 years ago
Out of 120 students in exam, 2/3 of them passed. How many students passed?​
LenKa [72]

Out of 120 students in exam, 2/3 of them passed. How many students passed?

now,

no of students passed = 2/3×120

= 0.66×120

=80...

therefore <em>8</em><em>0</em><em> </em><em> </em><em>students</em><em> </em><em>were</em><em> </em><em>passed</em><em>.</em><em>.</em><em>.</em><em>.</em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Given angle A, how can you construct an angle whose measure is 1/4 m of angle A?
    10·2 answers
  • 10 Michael has a drawer with 8 pairs of black socks and 12 pairs of white socks. Without looking he takes a white pair of socks
    14·2 answers
  • What is 1/2 + (-1/4÷2/3)
    7·2 answers
  • Translate and solve 655% of a number is 26200
    13·2 answers
  • An insurance company determines that the number of claims received in a week follows a Poisson distribution. The probability tha
    11·1 answer
  • 15.
    10·1 answer
  • A hat that is regularly $15.99 is on sale for 25% off. What is the sale price of the hat?
    12·2 answers
  • Eddie plotted his house on a coordinate plane, along with a few landmarks from his neighborhood.
    6·2 answers
  • 1)<br> Simplify: -7(2m - 8) + 6m<br> 2)<br> Expand: -10(1 - 6r)
    6·1 answer
  • Find the length of EH
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!