A computer company claims its laptop batteries averages more than 3.5 hours ofnuse per charge. A sample of 45 batteries last average of 3.72 hours. Assumes the sample and standard deviation of 0.7 hours. What are rhe correct steps to follow to figure out if you can verify the company's alpha of 0.05?

Answer:

First step : State the null and the alternative hypothesis

   The null hypothesis is  [tex]H_o : \mu = 3.5 \ hours[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 3.5 \ hours[/tex]

Second Step : Calculate the test statistics

   Generally the test statistics is mathematically represented as

             [tex]z = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>           [tex]z = \frac{3.75 - 3.5 }{\frac{0.7 }{\sqrt{45} } }[/tex]

=>           [tex]z  =  2.11[/tex]

Third Step  : Obtain the p-value

Generally from the z-table the probability of  z  =  2.11 is

    [tex] P(Z  >  2.11) =  0.0174[/tex]

Fourth Step : Compare the p-value with the level of significance and state the decision rule and the conclusion

From the obtained value  the [tex]p-value  <  \alpha[/tex] hence

 The decision rule is  

The null hypothesis is rejected

 The conclusion is

There is sufficient evidence to conclude that average of the laptop batteries is more than 3.5 hours of use per charge

Step-by-step explanation:

From the question we are told that

  The population mean is [tex]\mu = 3.5 \ hours[/tex]

   The sample size is  n =  45

   The standard deviation is  [tex]\sigma = 0.7 \ hours[/tex]

   The sample mean is  [tex]\= x = 3.75[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

First step : State the null and the alternative hypothesis

   The null hypothesis is  [tex]H_o : \mu = 3.5 \ hours[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 3.5 \ hours[/tex]

Second Step : Calculate the test statistics

   Generally the test statistics is mathematically represented as

             [tex]z = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>           [tex]z = \frac{3.75 - 3.5 }{\frac{0.7 }{\sqrt{45} } }[/tex]

=>           [tex]z  =  2.11[/tex]

Third Step  : Obtain the p-value

Generally from the z-table the probability of  z  =  2.11 is

    [tex] P(Z  >  2.11) =  0.0174[/tex]

Fourth Step : Compare the p-value with the level of significance and state the decision rule and the conclusion

From the obtained value  the [tex]p-value  <  \alpha[/tex] hence

 The decision rule is  

The null hypothesis is rejected

 The conclusion is

There is sufficient evidence to conclude that average of the laptop batteries is more than 3.5 hours of use per charge

Two adults and one child go to a movie and pay $26. One adult and 3 children pay
$28. How much would it cost for one adult and one child to see the movie?

Moving to another question will save this response.
Question 1
Solve the equation for X.
4(3x + 2) = 68

This week, max worked 15 hours and made $ 131.25. last week, he made $157.50. How many hours did he work ?
Max worked hours.

will mark brainlest

Aunt Jane weighs 45 newtons. What is her mass in kilograms?

Combine like terms. 5y - 8 - y

Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
​
% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3
​
% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?

What is mode for this data set 41,43,45,3,11, 23,

Area of a circle
You might need: Calculator
Find the area of a circle with a radius of 2.
Either enter an exact answer in terms of IT or use 3.14 for TT and enter your answer as a decimal.
units
2
Show Calculator
Report a problem
Stuck? Review related articles/videos or use a hint.

The sum of three consecutive odd integers is 42. What is the LARGEST of these three integers?

hi pls help pls pls pls​

BRAINLIEST AND 100 POINTS, I NEED THIS ANSWER IMMEDIATLY.
Please, tell me the answer, AND what to shade.

Honey is a technology company that provides online coupons to its subscribers. Honey's analytics staff has developed a classification method to predict whether a customer who has been sent a coupon will apply the coupon toward a purchase. For a sample of customers, the following table lists the classification model's estimated coupon usage probability for a customer. For this particular campaign, suppose that when a customer uses a coupon, Honey receives $1 in revenue from the product sponsor. To target the customer with the coupon offer, Honey incurs a cost of $0.05. Honey will offer a customer a coupon as long as the expected profit of doing so is positive. Using the equation

Expected Profit of Coupon Offer = P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used

determine which customers should be sent the coupon.

Customer Probability of Using Coupon
1 0.47
2 0.35
3 0.27
4 0.03
5 0.08
Determine the expected profit for each customer. Round your answers to the nearest cent. Enter negative value as negative number, if any.

Customer Expected Profit
1 $
2 $
3 $
4 $
5 $
The expected profit is positive for customers
- Select your answer -
, so these customers
- Select your answer -
the coupon

Which place is in the thousand place in 4,968,123

As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He remembers that the sum of the trials was −1. What was the value that was smudged?
Trials
−9
12
(smudged)
−8

A) 2

B) −2

C) −4

D) 4

1/8 expressed as a percentage is

Please Help
Which expressions are equivalent to 7(-4/3 x -3)? Select two options.

The function is defined as follows for the domain given.
f(x)=3x+2, domain = (-2,-1,0, 1}
What is the range?

1st person to answer you get brainest ​

Please help me I do not understand ​

The graph of y = f ′(x) is shown below. List the intervals where the graph of f is decreasing.

Graph consists of 3 line segments from x equals negative 4 to x equals 4. Graph is decreasing from x equals negative 4 to x equals negative 2, increases from x equals negative 2 to x equals 2 and decreases from x equals 2 to x equals 4. There are x intercepts at x equals negative 4, 0 and 4.

(–4, –2)
(–2, 2)
(–4, 0)
(0, 4)

f(x) = x4 +x - 5, find f(0).

Solve for x 64^x^2 = 256^x

Find the product.

75 × 222
A. 17,650
B. 16,500
C. 16,650
D. 14,110

Brianna needs to contact members of the softball league. She calls 2 members of the softball league. Those 2 people each call 2 more people in the afternoon. That evening, those additional people each call 2 others. How many people are called that evening?

If I passed out math books and the length is 10 inches the. Width is 8 inches.What is the perimeter of each book

someone please help I’ll make you BRAINLIST

The grocery store makes a 32% profit on deli foods. The profit for the
deli last month was $640. What was the total sales for the deli last
month?

Choose the equation that represents a line that passes through points (-6, 4) and (2.0).

there are 880 student in a school . if 75% of students passed the final exam find the number of passed and failed student​

Karen started painting the walls at 9:25 am, and she said that she would finish the job at 2:35 pm. Her mother said that three fourths of that time was enough to paint the walls. However, when Karen finished the job, they noticed that it actually took her 2/3 of an hour longer than the time predicted by the mother. How much longer did Karen predict it would take then the time it actually took her to complete the job (what part of an hour)?