Round 984759.995148 to the nearest whole number.

Answer:

A one-sample t-test is suitable in this scenario

Step-by-step explanation:

The hypothesis test is focused on the mean when the population standard deviation isn't known. We will estimate the population standard deviation using the sample equivalent, s, to inform the calculation of the test-statistic.

Miguel's batting average is roughly 0.330

Explanation

Miguel Cabrera achieved 205 hits in 622 at-bats.

To calculate batting average, we need to divide the hits by the total at-bats and round the result to three decimal places since batting average is conventionally rounded in this manner.

Hence, Miguel's batting average ≈ 0.330 (Rounded to three decimal points)

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All prime numbers are odd with the exception of two. Hence, if we consider the sum of the first million primes, it consists of one even number combined with 999,999 odd numbers. Since the product of an odd number multiplied by another odd number results in an odd number, we conclude that the sum must be an odd number, being even + odd = odd.

It's clear that an odd number ends with an odd digit, so the only digit that can be eliminated is b (an even digit).

Answer:

a) In this case, we have a z-score of 1.57, characterized as:

This signifies that our score is 1.57 standard deviations above the average of all test scores.

b)

Using the normal standard distribution or Excel, we computed:

This represents 2.275% of the dataset.

Step-by-step explanation:

Previous concepts

Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".

The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".

Solution to the problem

Part a

For this instance, we hold a z-score of 1.57, which is defined as:

This shows that our score is 1.57 deviations above the overall test score average.

Part b

A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.

Assuming a normal distribution, we can derive the percentage:

Using the normal standard distribution or Excel, we discovered:

This represents 2.275% of the data.