The Mean Corporation's statisticians would like to construct a hypothesis test for the mean annual profit (μ) earned by health-drink franchises. A random sample of 60 franchises were chosen and their annual profit for the previous financial year was recorded. The mean annual profit for the sample was calculated as $90,300. The hypotheses that will be used by the statisticians are H0: μ = 89,000 and Ha: μ > 89,000.a. Calculate the test statistic (z) that corresponds to the sample and hypotheses.

Give your answer to 3 decimal places. z =

Missing Part of Question

Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700

z = 1.157

Step-by-step explanation:

Given

Annual profit as calculated = $90,300.

H0: μ = 89,000

Ha: μ > 89,000

σ = 8700

n = 60

Calculate the test statistic (z) that corresponds to the sample and hypotheses.

Test statistic (z) is calculated by

z = (x - μ)/(σ/√n)

Where x = 90,300

μ = 89,000

σ = 8700

n = 60

z = (90,300 - 89,000)/(8700/√60)

z = 1.157443298866584

z = 1.157 Approximated

$12. that is my answer.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!