Assume that when adults with smartphones are randomly selected, 44 % use them in meetings or classes. If 14 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.

Assume after much investigation it was found through chemical analysis of 1000 airbags, taken from five to ten year old cars in Houston Texas, that the average mass of the aged gas propellant mixture on the driver side was 55.9g with a standard deviation of 0.9g. It was also determined that those airbags that killed or injured the driver through flying debris had a mass over 59.5g.

a. What is the probability that a randomly obtained airbag from a nine year old vehicle in Houston Texas has an airbag that could kill its driver?

b.If the manufacture determined that aged airbags with propellant between masses of 57 and 58 should be replaced within the next 6 months, what percentage of five to ten year old vehicles in Houston Texas would be expected to fall into this category?

c. If the manufacturer determined that aged airbags with propellant with a mass greater than 59 must be replaced as soon as possible, what percentage of five to ten year old Houston Texas vehicles would be expected to fall into this category?

The mean mass of the puppies at five months is 4.34 kg. The masses follow the normal distribution. In an effort to increase their mass, a supplement is added to their daily meals. The subsequent masses of a sample of five-month-old puppies were (in kilograms):

a. At the 0.01 level, has the supplement increased the mean mass of the puppies? (Round the final answer to 3 decimal places. Negative answers should be indicated by a minus sign.)

Value of the test statistic

Reject H₀ if t >  .

(Click to select)  Reject  Do not reject  H₀. There is  (Click to select)  not enough / enough evidence to conclude that the additive increased the mean weight of puppies.

b. Determine or estimate the p-value. (Round the final answer to 4 decimal places.)

200 subjects, all with common colds, participate in a trial for a new cough medicine. 100 subjects are randomly placed in the treatment group, while the other 100 are placed in the control group and given a placebo. A short while later, evaluators (who aren’t told which group each subject was in until after their evaluation) determine that 45% of subjects in the treatment group are coughing less, compared to 36% of subjects from the control. Is the medicine effective?

The IQ scores of children in a city are assumed to follow a normal distribution with unknown mean μ and known variance σ^2. A random sample IQ scores with a size of 25 is drawn by a researcher. Based on this sample, a 97% confidence interval for μ is found to be (91.49,104.51).

(a) Show that σ=15.

(b) Another random sample of IQ scores with a size of 11 drawn and the scores are recorded as follows:

134, 95,102, 99, 91, 111, 127, 99, 101, 113, 105

Based on the combined information of the two samples, test,at the 0.05 significance levels, whether or not the mean IQ score of the children in the city is less than the national average of 105.

QUESTION THREE

1. You are concerned about the possibility of experiencing on Coronavirus (COVID-19) during the next year. The probability of a COVID-19 outbreak is 0.5%. Your local insurer offers to pay you K300, 000 if a registered member of your family contracted COVID-19. The insurance policy costs K1, 500.00. If the inflation rate is forecast to be 10% during the next year, is the price of insurance policy fair.   
2. A coin is biased so that it has a 60% chance of landing on heads. If it is thrown three times, find the probability of getting

1. Three heads                                                                                            
2. 2 heads and a tail                                                                                    

At least one head                                                                                    

Suppose that the mean cholesterol level for males aged 50 is 241. An investigator wishes to examine whether cholesterol levels are significantly reduced by modifying diet only slightly. A sample of 12 patients agrees to participate in the study and follow the modified diet for 3 months. After 3 months, their cholesterol levels are measured and the summary statistics are produced on the n = 12 subjects. The mean cholesterol level in the sample is 235 with a standard deviation of 12.5. Based on the data, is there statistical evidence that the modified diet reduces cholesterol at 5% significance level? Calculate the value of the test statistic for the appropriate hypothesis

Given that x is a normal variable with mean μ = 49 and standard deviation σ = 6.9, find the following probabilities. (Round your answers to four decimal places.)

(a)  P(x ≤ 60)


(b)  P(x ≥ 50)


(c)  P(50 ≤ x ≤ 60)

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

Multiple Choice z = ±1.96

t = ±2.179

t = ±2.145

t = +2.145

A marketing research professor is conducting a telephone survey and needs to contact at least 160 wives, 140 husbands, 110 single adult males, and 120 single adult females. It costs $2 to make a daytime call and $4 (because of higher labor costs) to make an evening call. The table shown below lists the expected results. For example, 10% of all daytime calls are answered by a single male, and 15% of all evening calls are answered by a single female. Because of a limited staff, at most half of all phone calls can be evening calls. Determine how to minimize the cost of completing the survey

Q. Develop a Report for the following

If the professor could cut the cost of evening calls from $4 to $3, what would the new calling plan be?

(1 point) An insurance company states that at least 86% of its claims are settled within 30 days. A consumer group selected a random sample of 73 of the company's claims to test this statement. They found that 60 of the claims were settled within 30 days. Does the consumer group have evidence to disbelieve the insurance company's claim?

1. Write the hypotheses to test if the rate of claims settled within 30 days is significantly less than 86%.

H0H0: The proportion of claims settled within 30 days  ? is equal to is less than is more than  86%.

HAHA: The proportion of claims settled within 30 days  ? is equal to is less than is more than  86%.

2. To setup a simulation for this situation, we let each claim be represented with a card. We take 100 cards,  black cards represent claims that are settled within 30 days and  red cards represent claims that take longer than 30 days to settle. Shuffle the cards and draw  ? with without  replacement  cards representing the random sample of claims. Calculate the proportion of  ? black red  cards in the  ? sample deck  and call it p^simp^sim . Repeat 10,000 times and plot the resulting sample proportions. The p-value will be the proportion of simulations where p^simp^sim is  ? less than or equal to less than or equal to unequal to   .

3. Use the One Proportion Resampling test app embedded here to perform the simulation. Draw at least 3000 samples. Report your p-value from the app here, rounded to four decimal places:

Use this external link to the One Proportion Resampling Test if the app does not load properly on your computer. (Right click to open in a new tab or window.)

4. What is the correct conclusion, based on your p-value?
A. The p-value is substantially larger than 0.05 and we should reject the null hypothesis.
B. The p-value is substantially smaller than 0.05 and we should not reject the null hypothesis.
C. The p-value is substantially larger than 0.05 and we should not reject the null hypothesis.
D. The p-value is substantially smaller than 0.05 and we should reject the null hypothesis.

.

The following set of data shows how the advertising budget affects its sales (both in millions of dollars):

Advertising. Sales

Develop the equation of the simple regression line to predict sales from advertising expenditures using these data. You will need to:

-Calculate the intercept and slope of the linear regression formula that relates the advertising to sales.

-Calculate the value of R-squared.

-Predict the sales, in millions of dollars, if the advertising budget is 50, 70, 90 million dollars.

-How strong is the correlation? What is your confidence in the numbers you calculated?

please write 800 words

summary or explain what you understand in this topics

(HYPOTHESIS TEST ) ( STATING HYPOTHESIS )

(A NULL HYPOTHESIS ) ( ALTERNATIVE HYPOTHESIS)

(LEVEL OF SIGNIFICANCE) (P-VALUE or PROBABILITY OF VALUE)

PLEASE explain concept according in statics

Determine the Average Run Length (ARL) of a x-bar chart with limits where the process has shifted one standard deviation in one direction

A series of 20 samples of size 4 has been drawn from a project. The measure of interest has an average of 20.0443, and the average range within the samples is 0.0567. Determine the control chart lower limit for x-bar"

"A series of 20 samples of size 4 has been drawn from a project. The measure of interest has an average of 20.0443, and the average range within the samples is 0.0567. Determine the control chart upper limit for R"

Please show all work!