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Naya [18.7K]
3 years ago
9

One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average

, 6 days. She starts with no expectations as to whether drinking coffee will have any effect at all on cold duration. After seeing the results of her experiment, in which the average cold duration was less than 6 days, she tests a one-sided alternative about the population mean cold duration when drinking coffee, H0: μcoffee = 6 Ha: μcoffee < 6 She finds z = −1.68 with one-sided P-value P = 0.0465. What is the correct two-sided P-value for z = −1.68? Round your answer to 4 decimal places.
Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

0.0930

Step-by-step explanation:

Given that one of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average, 6 days.

she tests a one-sided alternative about the population mean cold duration when drinking coffee, H0: μcoffee = 6 Ha: μcoffee < 6 She finds z = −1.68 with one-sided P-value P = 0.0465.

If hypotheses changed to two tailed as:

H_0: \mu_{coffee}  = \mu_{tea}\\H_a: \mu_{coffee}\neq \mu_{tea}

(Two tailed test)

Since we have mean difference and std error the same, test statistic would remain the same.

p value for two tailed would be = twice the p value for one tail

=2(0.0465)\\= 0.0930

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Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

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We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.
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3 years ago
You have $10.50 to spend at the bowling alley. It costs $3 to rent shoes
Oksana_A [137]

Answer: 3 games

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10.5

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3 years ago
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Finally, you have to calculate the profit he made by selling 12.
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